Details

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)

sample2.6s (16.3%)

Results

596.0ms	1050×	body	1024	valid
595.0ms	2318×	body	256	infinite
555.0ms	3007×	body	256	valid
485.0ms	898×	body	1024	infinite
251.0ms	554×	body	512	valid
127.0ms	427×	body	512	infinite
1.0ms	1×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess25.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

192×	`fma-def`
132×	`*-commutative`
114×	`associate-/l*`
48×	`associate-r`
48×	`distribute-rgt-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify24.0ms (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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Accurracy

57.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	57.0%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(cos.f64 th)
✓	99.8%	(.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 41 to 16 computations (61% saved)

series56.0ms (0.3%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	a1	@	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
2.0ms	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 (cos.f64 th) (/.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)))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`log-prod`
830×	`pow-prod-down`
666×	`pow-prod-up`
610×	`pow-exp`
498×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	281	61
2	3385	61

Stop Event

1×	node limit

Counts

3 → 101

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)))
(cos.f64 th)

Outputs
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (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 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.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) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (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) (pow.f64 2 1/6)))
(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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6) 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 (hypot.f64 a1 a2) 4) 1/2))
(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 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 3/2)))
(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 (log.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6)) 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 0 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (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 1 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 3)
(pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(sqrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(+.f64 0 (cos.f64 th))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(-.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) 2) 1/2)
(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)))

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-def`
984×	`associate-*r/`
958×	`unswap-sqr`
878×	`distribute-lft-in`
800×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	5651
1	645	5489
2	2432	5185

Stop Event

1×	node limit

Counts

165 → 176

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)))
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 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (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 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.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) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (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) (pow.f64 2 1/6)))
(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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6) 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 (hypot.f64 a1 a2) 4) 1/2))
(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 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 3/2)))
(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 (log.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6)) 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 0 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (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 1 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 3)
(pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(sqrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(+.f64 0 (cos.f64 th))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(-.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) 2) 1/2)
(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 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (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)))))
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(+.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))))))
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(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (.f64 a2 a2) (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)))))))
(fma.f64 -1/720 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 th 6)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (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 a2) (sqrt.f64 2))))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
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1
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(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/6)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/6)) (/.f64 (cos.f64 th) (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (cos.f64 th) (*.f64 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 3)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) (.f64 1/2 (pow.f64 (cos.f64 th) 2))))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3) 1/3)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(sqrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) (.f64 1/2 (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (.f64 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 0 (cos.f64 th))
(cos.f64 th)
(+.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(-.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) 2) 1/2)
(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))
(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)

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	th	@	0	(/.f64 (cos.f64 th) (sqrt.f64 2))
0.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	th	@	inf	(/.f64 (cos.f64 th) (sqrt.f64 2))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`prod-diff`
1430×	`log-prod`
606×	`fma-def`
524×	`expm1-udef`
522×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	300	48
2	4088	48

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) 1) (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 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 (pow.f64 a1 4) (-.f64 (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)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 4) (-.f64 (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) (-.f64 (.f64 a1 a1) (.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 (pow.f64 a1 4) (-.f64 (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)) (-.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) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (-.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)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (.f64 a1 a1) (.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)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) 3) (pow.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) 3)) (fma.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (-.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))) (-.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.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 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.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 (cos.f64 th) (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (exp.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 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 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)) 1 (.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))

simplify147.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

520×	`associate-r`
486×	`associate-l`
386×	`associate-+l+`
378×	`associate-/l*`
372×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	8061
1	978	7727
2	3833	6473

Stop Event

1×	node limit

Counts

161 → 197

Calls

Call 1

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

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (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))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.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)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.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 (.f64 a1 a1) (.f64 a2 a2)) (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 a1 (/.f64 (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))))))
(+.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 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(+.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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
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(.f64 (cos.f64 th) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (pow.f64 2 -1/2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 a1 (.f64 a1 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1))) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (.f64 a1 a1)))))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 a2 (.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 a2 a2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))

eval178.0ms (1.1%)

Compiler: Compiled 8548 to 4578 computations (46.4% saved)

prune166.0ms (1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	400	17	417
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	401	18	419

Accurracy

58.4%

Counts

419 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
▶	30.5%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	57.0%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	32.0%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	31.2%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
▶	31.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	31.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	26.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	32.0%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
	31.3%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	57.0%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	31.9%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	30.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	57.1%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	56.6%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	31.3%	(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
	57.0%	(.f64 (cos.f64 th) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))))
▶	57.0%	(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))

Compiler

Compiled 526 to 389 computations (26% saved)

localize18.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.7%	(.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 46 to 21 computations (54.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
0.0ms	th	@	0	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
0.0ms	a2	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
0.0ms	th	@	0	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
0.0ms	th	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`prod-diff`
1454×	`log-prod`
644×	`fma-def`
548×	`expm1-udef`
544×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	320	48
2	4093	48

Stop Event

1×	node limit

Counts

2 → 85

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)))

Outputs
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))))
(-.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 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(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 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 0 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.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 (cos.f64 th) (.f64 a2 a2))) 3)) (fma.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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))))))
(/.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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))))
(/.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 (sqrt.f64 1/2)) (cos.f64 th)) (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))))))
(log.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (exp.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))))
(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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
656×	`associate-r`
582×	`cancel-sign-sub-inv`
568×	`associate-l`
532×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5595
1	726	5135
2	2949	4803

Stop Event

1×	node limit

Counts

133 → 155

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)))
(+.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))))))
(*.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 (.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))))
(+.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)))))
(+.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 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.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))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))))
(-.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 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(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 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 0 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.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 (cos.f64 th) (.f64 a2 a2))) 3)) (fma.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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))))))
(/.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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))))
(/.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 (sqrt.f64 1/2)) (cos.f64 th)) (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))))))
(log.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (exp.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))))
(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 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))

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 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))))
(+.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 -1/720 (*.f64 (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 (.f64 (+.f64 (.f64 -1/720 (pow.f64 th 6)) 1) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))))
(*.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 (sqrt.f64 1/2) -1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 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)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (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 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) -1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (*.f64 th th))))
(+.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24)))))
(+.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 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.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 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (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 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) -1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 th 4) 1/24) (*.f64 (pow.f64 th 6) -1/720)))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a1) 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a2) 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a2) 2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a1 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a1) 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a2) 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a2) 2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a1 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a2 (.f64 a2 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (.f64 a2 (.f64 a2 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))

localize10.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 31 to 12 computations (61.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a2	@	inf	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a1	@	0	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`prod-diff`
1038×	`log-prod`
664×	`pow-prod-down`
542×	`pow-exp`
532×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	234	23
2	3046	23

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1726×	`log-prod`
1144×	`associate-/r/`
984×	`fma-neg`
726×	`unswap-sqr`
670×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2149
1	283	2107
2	738	2067
3	2778	1983
4	7163	1983

Stop Event

1×	node limit

Counts

67 → 72

Calls

Call 1

Inputs
(/.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 (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 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (pow.f64 2 -1/2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(.f64 (pow.f64 2 -1/2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 2 1/2))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))

localize70.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`log-prod`
820×	`prod-exp`
688×	`pow-prod-down`
520×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	225	27
2	2761	27

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 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 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 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (log.f64 a2) 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 2 (log.f64 a2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 2 (log.f64 a2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (log.f64 a2) 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (*.f64 2 (log.f64 a2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 a2)) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 2) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`fma-def`
782×	`times-frac`
674×	`log-prod`
556×	`associate-/l*`
510×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2110
1	373	2058
2	968	2054
3	3926	1998

Stop Event

1×	node limit

Counts

68 → 73

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 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 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 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (log.f64 a2) 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 2 (log.f64 a2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 2 (log.f64 a2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (log.f64 a2) 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (*.f64 2 (log.f64 a2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 a2)) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 2) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th))))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (.f64 th th)) (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (.f64 a2 (*.f64 a2 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (.f64 -1/2 (.f64 th th)) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 -1/720 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (.f64 -1/720 (.f64 a2 (*.f64 a2 (pow.f64 th 6)))) (sqrt.f64 2)))
(fma.f64 1/24 (/.f64 (.f64 a2 (.f64 a2 (pow.f64 th 4))) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (.f64 th th)) (sqrt.f64 2))) (fma.f64 -1/720 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (*.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 1/6)) (cbrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/6))))
(/.f64 a2 (/.f64 (/.f64 (cbrt.f64 2) (/.f64 a2 (pow.f64 2 1/6))) (cos.f64 th)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 a2 4))))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 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 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (log.f64 a2) 2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 2 (log.f64 a2)) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 2 (log.f64 a2))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (log.f64 a2) 2)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (.f64 (*.f64 2 (log.f64 a2)) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 2 (log.f64 a2)) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 2) (.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 a2)) 1) (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (log.f64 a2) 1)))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

localize37.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.4%	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓	98.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
630×	`pow-prod-down`
528×	`pow-prod-up`
494×	`pow-exp`
406×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	231	44
2	3041	44

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (.f64 2 (pow.f64 a2 -4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a2 -2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (*.f64 2 (pow.f64 a2 -4))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (.f64 a2 a2)))
(.f64 (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 (cbrt.f64 a2) a2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1476×	`fma-def`
1356×	`log-div`
1262×	`associate-/r*`
1078×	`log-prod`
898×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	3846
1	696	3736
2	2077	3730
3	6454	3730

Stop Event

1×	node limit

Counts

136 → 145

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (.f64 2 (pow.f64 a2 -4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a2 -2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (*.f64 2 (pow.f64 a2 -4))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (.f64 a2 a2)))
(.f64 (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 (cbrt.f64 a2) a2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (.f64 a2 th) (.f64 a2 th))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (.f64 a2 th) (.f64 a2 th)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
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(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (.f64 2 (pow.f64 a2 -4)))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 (.f64 a2 a2))))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a2 (cbrt.f64 a2)))) (sqrt.f64 2))
(.f64 a2 (.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6) 1/3)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1) -1)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a2 -2)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 a2 -2) (pow.f64 2 1/6)))
(.f64 (pow.f64 a2 -2) (.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (*.f64 2 (pow.f64 a2 -4))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(/.f64 (*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) a2)) a2)
(.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) (.f64 a2 a2)))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (.f64 a2 a2)))
(/.f64 (*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) a2)) a2)
(.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) (.f64 a2 a2)))
(.f64 (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (/.f64 (cbrt.f64 2) (*.f64 a2 (cbrt.f64 a2))))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 (cbrt.f64 a2) a2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 a2 (cbrt.f64 a2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(/.f64 (/.f64 (pow.f64 2 1/2) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 (cbrt.f64 a2) (cbrt.f64 (*.f64 a2 a2)))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))

localize33.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.8%	(.f64 a2 (.f64 a2 (pow.f64 2 -1/2)))
✓	99.4%	(*.f64 a2 (pow.f64 2 -1/2))
✓	99.3%	(/.f64 (sqrt.f64 2) a1)

Compiler

Compiled 68 to 48 computations (29.4% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(*.f64 a2 (pow.f64 2 -1/2))
0.0ms	a1	@	0	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
0.0ms	a1	@	inf	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
0.0ms	a2	@	inf	(*.f64 a2 (pow.f64 2 -1/2))
0.0ms	a2	@	inf	(.f64 a2 (.f64 a2 (pow.f64 2 -1/2)))

rewrite368.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`log-prod`
778×	`pow-prod-down`
584×	`pow-prod-up`
532×	`pow-exp`
508×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	276	56
2	3404	56

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (sqrt.f64 2) a1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a1 -1))
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (.f64 2 (pow.f64 a1 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a1 -1)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a1 -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))
(*.f64 (pow.f64 a1 -1) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a1))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a1)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(pow.f64 (*.f64 2 (pow.f64 a1 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) 2)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) -1)
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) 2))
(exp.f64 (.f64 (log.f64 (.f64 a1 (sqrt.f64 1/2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a1)))
(+.f64 0 (*.f64 a2 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (.f64 (.f64 a2 a2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 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 a2 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(+.f64 0 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)
(pow.f64 (*.f64 (pow.f64 a2 4) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (pow.f64 2 -1/4) a2) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (pow.f64 2 -1/4)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 2 -1/4))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(+.f64 0 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (.f64 a1 (sqrt.f64 1/2)) a1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) -2) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1/2) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (.f64 (cbrt.f64 a1) a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 2 (pow.f64 a1 -2)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (pow.f64 a1 3/2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 2 (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (/.f64 a1 1) (.f64 a1 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) a1)
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))

simplify147.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`unswap-sqr`
1174×	`associate-*r/`
1136×	`fma-def`
654×	`distribute-lft-in`
632×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	3433
1	752	3299
2	2360	2963

Stop Event

1×	node limit

Counts

173 → 170

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 0 (/.f64 (sqrt.f64 2) a1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a1 -1))
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (.f64 2 (pow.f64 a1 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a1 -1)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a1 -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))
(*.f64 (pow.f64 a1 -1) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a1))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a1)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(pow.f64 (*.f64 2 (pow.f64 a1 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) 2)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) -1)
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) 2))
(exp.f64 (.f64 (log.f64 (.f64 a1 (sqrt.f64 1/2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a1)))
(+.f64 0 (*.f64 a2 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (.f64 (.f64 a2 a2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 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 a2 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(+.f64 0 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)
(pow.f64 (*.f64 (pow.f64 a2 4) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (pow.f64 2 -1/4) a2) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a2 (pow.f64 2 -1/4)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 2 -1/4))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(+.f64 0 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (.f64 a1 (sqrt.f64 1/2)) a1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) -2) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1/2) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (.f64 (cbrt.f64 a1) a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 2 (pow.f64 a1 -2)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (pow.f64 a1 3/2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 2 (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(.f64 (/.f64 a1 1) (.f64 a1 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) a1)
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))

Outputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 0 (/.f64 (sqrt.f64 2) a1))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1))) 1)
(/.f64 (sqrt.f64 2) a1)
(*.f64 (sqrt.f64 2) (pow.f64 a1 -1))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(/.f64 (sqrt.f64 2) a1)
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (sqrt.f64 2) a1)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (.f64 2 (pow.f64 a1 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (.f64 2 (pow.f64 a1 -2))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (pow.f64 a1 -1)))
(.f64 (cbrt.f64 2) (.f64 (/.f64 1 a1) (pow.f64 2 1/6)))
(/.f64 (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)) a1)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a1 -1)))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (pow.f64 a1 -1) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -1/2)) (sqrt.f64 a1))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a1))
(.f64 (cbrt.f64 2) (.f64 (/.f64 1 a1) (pow.f64 2 1/6)))
(/.f64 (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)) a1)
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (cbrt.f64 2) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a1)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a1))
(/.f64 (sqrt.f64 2) a1)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (pow.f64 (cbrt.f64 a1) 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(/.f64 (sqrt.f64 2) a1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(/.f64 (sqrt.f64 2) a1)
(pow.f64 (*.f64 2 (pow.f64 a1 -2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3) 1/3)
(/.f64 (sqrt.f64 2) a1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) 2)
(/.f64 (sqrt.f64 2) a1)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) -1)
(/.f64 1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (/.f64 1 a1) (sqrt.f64 1/2))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) -1)
(/.f64 1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (/.f64 1 a1) (sqrt.f64 1/2))
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(/.f64 (sqrt.f64 2) a1)
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (sqrt.f64 2) a1)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (sqrt.f64 2) a1)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3))
(/.f64 (sqrt.f64 2) a1)
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (sqrt.f64 2) a1)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (sqrt.f64 2) a1)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1))
(/.f64 (sqrt.f64 2) a1)
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(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) -1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

eval349.0ms (2.2%)

Compiler: Compiled 14580 to 8776 computations (39.8% saved)

prune204.0ms (1.3%)

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	753	44	797
Fresh	7	5	12
Picked	1	0	1
Done	4	1	5
Total	765	50	815

Accurracy

58.4%

Counts

815 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.3%	(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (.f64 a2 th) (.f64 a2 th))))
	31.6%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
	32.0%	(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
▶	57.0%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	15.4%	(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	16.0%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	18.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	17.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	14.5%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3))
	31.8%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
✓	31.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	31.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	31.8%	(/.f64 (cos.f64 th) (*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2)))
	5.9%	(/.f64 (cos.f64 th) (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))))))
	30.8%	(/.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
▶	28.4%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	29.7%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1)))
	29.6%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)))
	18.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	17.6%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	18.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	16.2%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
	31.4%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
	31.8%	(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
	15.6%	(.f64 (/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (sqrt.f64 2)) (.f64 a2 a2))
	14.6%	(.f64 (/.f64 (+.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))))) (sqrt.f64 2)) (*.f64 a2 a2))
▶	26.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	16.1%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	31.3%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	31.2%	(.f64 (/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (sqrt.f64 2)) (*.f64 a2 a2))
	32.0%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
	32.0%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	18.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶	17.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	31.9%	(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
	18.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	15.6%	(.f64 (+.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 a2 a2))
	16.2%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	31.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	30.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	32.0%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	31.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	31.3%	(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
	32.0%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	31.3%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	32.0%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	28.1%	(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
	20.4%	(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	22.5%	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
	22.6%	(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))

Compiler

Compiled 1488 to 1175 computations (21% saved)

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	th	@	0	(/.f64 (sqrt.f64 2) (cos.f64 th))
0.0ms	th	@	-inf	(/.f64 (sqrt.f64 2) (cos.f64 th))
0.0ms	th	@	inf	(/.f64 (sqrt.f64 2) (cos.f64 th))
0.0ms	th	@	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
0.0ms	th	@	inf	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`log-prod`
1304×	`prod-diff`
528×	`expm1-udef`
526×	`log1p-udef`
480×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	300	48
2	4068	48

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.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)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cos.f64 th))))
(*.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)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (cos.f64 th) (/.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) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.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) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1570×	`fma-def`
1316×	`unswap-sqr`
752×	`distribute-lft-in`
720×	`distribute-rgt-in`
530×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4844
1	651	4660
2	2388	4362

Stop Event

1×	node limit

Counts

122 → 140

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.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)))
(/.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 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.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)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cos.f64 th))))
(*.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)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (cos.f64 th) (/.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) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.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) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 th th))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4)))))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 th th) 1/2) (.f64 -5/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (fma.f64 -1/720 (sqrt.f64 2) (fma.f64 1/2 (.f64 (sqrt.f64 2) -5/24) (.f64 (sqrt.f64 2) 1/48))) (pow.f64 th 6)) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (-.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 2) -1/720 (fma.f64 (sqrt.f64 2) 1/48 (.f64 (sqrt.f64 2) -5/48)))) (pow.f64 th 6) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)))) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4)))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 th th) 1/2) (.f64 -5/24 (pow.f64 th 4)))) (fma.f64 (fma.f64 (sqrt.f64 2) -1/720 (*.f64 (sqrt.f64 2) -1/12)) (neg.f64 (pow.f64 th 6)) (sqrt.f64 2)))
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(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3) 1/3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))

localize28.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	99.3%	(/.f64 a1 (sqrt.f64 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	-inf	(/.f64 a1 (sqrt.f64 2))
0.0ms	a1	@	0	(/.f64 a1 (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 a1 (sqrt.f64 2))
0.0ms	a1	@	0	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
0.0ms	a1	@	inf	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`pow1`
1464×	`add-exp-log`
1464×	`log1p-expm1-u`
1464×	`expm1-log1p-u`
1430×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	165	28
2	2007	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1682×	`fma-def`
1394×	`log-prod`
1068×	`log-div`
844×	`unswap-sqr`
700×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1300
1	279	1180
2	1001	1072
3	5483	1072

Stop Event

1×	node limit

Counts

62 → 67

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cbrt.f64 a1)))
(.f64 (pow.f64 2 -1/2) (.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 a1 2) a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 a1 2) a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (*.f64 (/.f64 a1 2) a1))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))

localize59.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	94.9%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 67 to 33 computations (50.7% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`log-prod`
1166×	`fma-def`
640×	`expm1-udef`
638×	`log1p-udef`
396×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	385	68
2	5170	68

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(.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))

Outputs
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) 1) (.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)) 1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)) (-.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) (fma.f64 -1/2 (.f64 th th) 1)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 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 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 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 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)) (/.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 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 (neg.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) 3) (pow.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) 3)) (fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (neg.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))) (-.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2))))
(/.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 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 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (fma.f64 -1/2 (.f64 th th) 1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 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)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (exp.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) 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 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(fma.f64 1 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 1 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))
(fma.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.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 2)) (.f64 a1 a1) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 a1 (.f64 a1 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 a2 (.f64 a2 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 a1 a1)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 a1 a1)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) 1 (.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) 1))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))) (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))) (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (sqrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (sqrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a1) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a1) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a2) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 a1 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 a1 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 a2 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 a2 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a1 a1) (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 2 -1/2) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 2 -1/2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) a1) a1 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a1 a1) (/.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 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a2 a2) (/.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 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))) 1)
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 -1/2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) 1)
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 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)) (pow.f64 2 -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))) (pow.f64 2 -1/2)))
(.f64 (neg.f64 (fma.f64 -1/2 (.f64 th th) 1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (pow.f64 2 -1/2) (fma.f64 -1/2 (.f64 th th) 1))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 1/4)))
(.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 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))))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 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) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3))
(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 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))

simplify175.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-r`
522×	`associate-l`
498×	`distribute-rgt-neg-in`
470×	`distribute-lft-neg-in`
430×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	11101
1	942	9573
2	4126	9267

Stop Event

1×	node limit

Counts

169 → 210

Calls

Call 1

Inputs
(/.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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(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 a1 a1)) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))) 1 (.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) 1))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))) (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))) (cbrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (sqrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (sqrt.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a1) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a1) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a2) (.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 a1 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 a1 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 a2 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 a2 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a1 a1) (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 2 -1/2) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 2 -1/2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) a1) a1 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a1 a1) (/.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 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (.f64 (.f64 a2 a2) (/.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 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))) 1)
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 -1/2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) 1)
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 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)) (pow.f64 2 -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))) (pow.f64 2 -1/2)))
(.f64 (neg.f64 (fma.f64 -1/2 (.f64 th th) 1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (pow.f64 2 -1/2) (fma.f64 -1/2 (.f64 th th) 1))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 1/4)))
(.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 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))))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 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) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3))
(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 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))

Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(.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 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th))))
(.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(.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 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th))))
(.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
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(fma.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 a2) 2) (fma.f64 -1/2 (.f64 th th) 1)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 (cbrt.f64 a2) 2)) (sqrt.f64 2)) (.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 a1 (.f64 a1 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 a1 a1) (/.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 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 (.f64 a1 a1) (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (pow.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)))
(+.f64 (.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (pow.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 (.f64 a2 (.f64 a2 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (.f64 a2 (.f64 a2 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))) (.f64 a1 (.f64 a1 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 a2) (/.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 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(fma.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (.f64 a2 (/.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (pow.f64 2 1/4))) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (.f64 a2 a2) (pow.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)))
(+.f64 (.f64 a1 (.f64 a1 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (.f64 (.f64 a2 a2) (pow.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)))
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))) 1)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 -1/2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) 1)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 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)) (pow.f64 2 -1/2)))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 -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)))
(pow.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)
(.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/2)))
(.f64 (neg.f64 (fma.f64 -1/2 (.f64 th th) 1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(.f64 (pow.f64 2 -1/2) (fma.f64 -1/2 (.f64 th th) 1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 -1/2))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 2)) (fma.f64 -1/2 (.f64 th th) 1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 1/4)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.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 (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 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (cbrt.f64 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 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 1/4)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 2 1/4)) (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 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)))
(/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))))
(.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))))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) 3)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3) 1/3)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(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)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3) (.f64 2 (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2))) 1))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))

localize23.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))
✓	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	84.4%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
✓	76.6%	(.f64 (.f64 th th) (*.f64 a2 a2))

Compiler

Compiled 69 to 30 computations (56.5% saved)

series9.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	0	(/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))
1.0ms	a2	@	0	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
1.0ms	a2	@	inf	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
1.0ms	th	@	0	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
0.0ms	th	@	0	(/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`log-prod`
836×	`fma-def`
562×	`expm1-udef`
558×	`log1p-udef`
420×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	122
1	328	100
2	4569	100

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

Outputs
(+.f64 0 (pow.f64 (*.f64 th a2) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 th a2) 2))) 1)
(pow.f64 (pow.f64 (*.f64 th a2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 th a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 3) 1/3)
(pow.f64 (*.f64 th a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 th a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 th a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (*.f64 a2 a2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (*.f64 th th) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 th a2) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 th a2) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 th a2) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 th a2) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(-.f64 (/.f64 (/.f64 (pow.f64 a2 4) 2) (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2))) (/.f64 (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 1 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 -1/2) (/.f64 (.f64 th a2) (pow.f64 2 1/4))) (/.f64 a2 (pow.f64 2 1/4))) (hypot.f64 (.f64 (sqrt.f64 -1/2) (/.f64 (*.f64 th a2) (pow.f64 2 1/4))) (/.f64 a2 (pow.f64 2 1/4))))
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(.f64 (.f64 th th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (.f64 a2 a2) (.f64 (.f64 th th) (pow.f64 2 -1/2)))
(.f64 (pow.f64 (.f64 th a2) 2) (pow.f64 2 -1/2))
(.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (.f64 th a2) 2)) (pow.f64 2 -1/2)))
(.f64 (/.f64 (.f64 th a2) (pow.f64 2 1/4)) (/.f64 (*.f64 th a2) (pow.f64 2 1/4)))
(.f64 (.f64 th a2) (.f64 (.f64 th a2) (pow.f64 2 -1/2)))
(.f64 (neg.f64 (pow.f64 (.f64 th a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (pow.f64 2 -1/2) (pow.f64 (.f64 th a2) 2))
(.f64 (.f64 th (.f64 th a2)) (.f64 a2 (pow.f64 2 -1/2)))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (.f64 th a2) 2) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (.f64 th a2) 2) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (*.f64 th th) (pow.f64 2 1/4)))
(.f64 (/.f64 th 1) (/.f64 (.f64 (*.f64 th a2) a2) (sqrt.f64 2)))
(.f64 (/.f64 th (cbrt.f64 2)) (/.f64 (.f64 (*.f64 th a2) a2) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 th (pow.f64 2 1/4)) (/.f64 (.f64 (*.f64 th a2) a2) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 th th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (.f64 th th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 th th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a2 a2) 1) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 th th) (sqrt.f64 2)) (*.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (cbrt.f64 2)) (/.f64 (*.f64 th th) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 th a2) 2)) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 th a2) 2)) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 th a2) 1) (/.f64 (*.f64 th a2) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 th a2) (cbrt.f64 2)) (/.f64 (*.f64 th a2) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 th (*.f64 th a2)) 1) (/.f64 a2 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 th (*.f64 th a2)) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 th (*.f64 th a2)) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 th a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (*.f64 th a2) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 3) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))

simplify189.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

640×	`log-prod`
610×	`associate-r`
442×	`associate-l`
432×	`cancel-sign-sub-inv`
414×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	10843
1	1072	9761
2	4528	9677

Stop Event

1×	node limit

Counts

269 → 294

Calls

Call 1

Inputs
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 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 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(+.f64 0 (pow.f64 (*.f64 th a2) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 th a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 th a2) 2))) 1)
(pow.f64 (pow.f64 (*.f64 th a2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 th a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 3) 1/3)
(pow.f64 (*.f64 th a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 th a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 th a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (*.f64 a2 a2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (*.f64 th th) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 th a2) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 th a2) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 th a2) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 th a2) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(-.f64 (/.f64 (/.f64 (pow.f64 a2 4) 2) (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2))) (/.f64 (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 1 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 -1/2) (/.f64 (.f64 th a2) (pow.f64 2 1/4))) (/.f64 a2 (pow.f64 2 1/4))) (hypot.f64 (.f64 (sqrt.f64 -1/2) (/.f64 (*.f64 th a2) (pow.f64 2 1/4))) (/.f64 a2 (pow.f64 2 1/4))))
(.f64 (fma.f64 -1/8 (pow.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 a2 4) 2) (-.f64 (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (/.f64 (.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) 2)))))
(.f64 (-.f64 (/.f64 (pow.f64 a2 4) 2) (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2))) (/.f64 1 (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 a2 4) 2) (-.f64 (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (/.f64 (.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) 2))) (fma.f64 -1/8 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) (sqrt.f64 2)) (-.f64 (/.f64 (pow.f64 a2 4) 2) (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2) 2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3)) (+.f64 (/.f64 (pow.f64 a2 4) 2) (-.f64 (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2)) (/.f64 (.f64 (.f64 a2 a2) (.f64 (pow.f64 (*.f64 th a2) 2) -1/2)) 2))))
(/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3)) (fma.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2) (-.f64 (/.f64 (pow.f64 a2 4) 2) (/.f64 (.f64 (.f64 a2 a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2)) 2))))
(/.f64 (-.f64 (/.f64 (pow.f64 a2 4) 2) (.f64 1/4 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 2) 2))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 (pow.f64 (*.f64 th a2) 2) -1/2)) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 2) a2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2))) (.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 2)))
(/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 (.f64 th a2) 2) -1/2))) 2)
(/.f64 (+.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (pow.f64 (.f64 th a2) 2) -1/2))) (.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (fma.f64 (.f64 a2 (neg.f64 a2)) (sqrt.f64 2) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 (.f64 th a2) 2) -1/2))) (*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 2)))
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(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 th a2) 2) -1/2) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 a2 a2))) 2)
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(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 th a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (*.f64 th a2) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 th a2) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 3) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))

Outputs
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(.f64 (.f64 th th) (*.f64 a2 a2))
(pow.f64 (*.f64 a2 th) 2)
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (.f64 (.f64 a2 a2) (/.f64 (.f64 th th) (sqrt.f64 2))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (.f64 (.f64 a2 a2) (/.f64 (.f64 th th) (sqrt.f64 2))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))
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(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 th a2) 2) 3) (.f64 2 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) 1))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 2)))
(/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))

localize59.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.7%	(/.f64 (pow.f64 2 1/4) a2)
✓	99.3%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
✓	96.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))

Compiler

Compiled 52 to 42 computations (19.2% saved)

series63.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	a2	@	0	(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
6.0ms	a2	@	inf	(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
1.0ms	a2	@	-inf	(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
0.0ms	a2	@	inf	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
0.0ms	th	@	0	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`log-prod`
734×	`pow-prod-down`
660×	`pow-prod-up`
558×	`pow-exp`
494×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	291	57
2	3501	57

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(/.f64 (pow.f64 2 1/4) a2)

Outputs
(+.f64 0 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
(.f64 (pow.f64 2 1/4) (.f64 (/.f64 1 a2) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 1)
(.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4))
(.f64 (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3/2) (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)))
(.f64 (.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4)) (/.f64 1 a2))
(.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(/.f64 (pow.f64 2 1/4) (.f64 a2 (.f64 a2 (pow.f64 2 -1/4))))
(/.f64 (pow.f64 2 1/4) (.f64 (.f64 a2 (pow.f64 2 -1/4)) a2))
(/.f64 (/.f64 (pow.f64 2 1/4) a2) (*.f64 a2 (pow.f64 2 -1/4)))
(/.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(/.f64 (neg.f64 (pow.f64 2 1/4)) (.f64 (.f64 a2 (pow.f64 2 -1/4)) (neg.f64 a2)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 2 1/4)) 2) (pow.f64 (neg.f64 a2) 2))
(/.f64 (.f64 (pow.f64 2 1/4) (neg.f64 (pow.f64 2 1/4))) (.f64 a2 (neg.f64 a2)))
(/.f64 (.f64 (neg.f64 (pow.f64 2 1/4)) (pow.f64 2 1/4)) (.f64 (neg.f64 a2) a2))
(/.f64 (.f64 (neg.f64 (pow.f64 2 1/4)) 1) (.f64 (neg.f64 a2) (*.f64 a2 (pow.f64 2 -1/4))))
(/.f64 (*.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4)) a2)
(/.f64 (*.f64 (/.f64 (pow.f64 2 1/4) a2) (neg.f64 (pow.f64 2 1/4))) (neg.f64 a2))
(/.f64 (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) a2)) a2)
(/.f64 (*.f64 (neg.f64 (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) a2)) (neg.f64 a2))
(/.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (log1p.f64 1))) (pow.f64 (exp.f64 2) (log.f64 a2)))
(/.f64 (pow.f64 (exp.f64 2) (log.f64 (neg.f64 (pow.f64 2 1/4)))) (pow.f64 (exp.f64 2) (log.f64 (neg.f64 a2))))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) (exp.f64 2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3)
(pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 6)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 2/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 4)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) -1)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) -2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (+.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (+.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(pow.f64 (*.f64 (exp.f64 1) (exp.f64 1)) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (*.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (*.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.f64 0 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))) 1)
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1)
(.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) -2)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) (cos.f64 th))
(.f64 (.f64 a2 (pow.f64 2 -1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) -2) (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) 1) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) -1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(+.f64 0 (/.f64 (pow.f64 2 1/4) a2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 2 1/4) a2))) 1)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) 1)
(*.f64 1 (/.f64 (pow.f64 2 1/4) a2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (pow.f64 4 1/24) (/.f64 1 a2)))
(*.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (/.f64 1 a2)))
(*.f64 (neg.f64 (pow.f64 2 1/4)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (pow.f64 2 1/4))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(*.f64 (pow.f64 (cbrt.f64 a2) -2) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 -1/2) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 1) (/.f64 (pow.f64 4 1/24) a2))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)) (/.f64 (pow.f64 4 1/24) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/8) 1) (/.f64 (pow.f64 2 1/8) a2))
(*.f64 (/.f64 (pow.f64 2 1/8) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/8) (cbrt.f64 a2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 1)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1/2)
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 1/2))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3/2)
(pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (exp.f64 1) (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(pow.f64 (/.f64 (*.f64 a2 (pow.f64 2 -1/4)) 1) -1)
(neg.f64 (/.f64 (pow.f64 2 1/4) (neg.f64 a2)))
(sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(fabs.f64 (/.f64 (pow.f64 2 1/4) a2))
(log.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3))
(cbrt.f64 (/.f64 (pow.f64 8 1/4) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 2 1/4) a2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 2 -1/4))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2)))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1294×	`fma-def`
886×	`unswap-sqr`
564×	`log-prod`
548×	`sqr-pow`
422×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	6224
1	973	6070
2	3636	6042

Stop Event

1×	node limit

Counts

208 → 245

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(+.f64 0 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
(.f64 (pow.f64 2 1/4) (.f64 (/.f64 1 a2) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 1)
(.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4))
(.f64 (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3/2) (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)))
(.f64 (.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4)) (/.f64 1 a2))
(.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(/.f64 (pow.f64 2 1/4) (.f64 a2 (.f64 a2 (pow.f64 2 -1/4))))
(/.f64 (pow.f64 2 1/4) (.f64 (.f64 a2 (pow.f64 2 -1/4)) a2))
(/.f64 (/.f64 (pow.f64 2 1/4) a2) (*.f64 a2 (pow.f64 2 -1/4)))
(/.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(/.f64 (neg.f64 (pow.f64 2 1/4)) (.f64 (.f64 a2 (pow.f64 2 -1/4)) (neg.f64 a2)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 2 1/4)) 2) (pow.f64 (neg.f64 a2) 2))
(/.f64 (.f64 (pow.f64 2 1/4) (neg.f64 (pow.f64 2 1/4))) (.f64 a2 (neg.f64 a2)))
(/.f64 (.f64 (neg.f64 (pow.f64 2 1/4)) (pow.f64 2 1/4)) (.f64 (neg.f64 a2) a2))
(/.f64 (.f64 (neg.f64 (pow.f64 2 1/4)) 1) (.f64 (neg.f64 a2) (*.f64 a2 (pow.f64 2 -1/4))))
(/.f64 (*.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4)) a2)
(/.f64 (*.f64 (/.f64 (pow.f64 2 1/4) a2) (neg.f64 (pow.f64 2 1/4))) (neg.f64 a2))
(/.f64 (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) a2)) a2)
(/.f64 (*.f64 (neg.f64 (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) a2)) (neg.f64 a2))
(/.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (log1p.f64 1))) (pow.f64 (exp.f64 2) (log.f64 a2)))
(/.f64 (pow.f64 (exp.f64 2) (log.f64 (neg.f64 (pow.f64 2 1/4)))) (pow.f64 (exp.f64 2) (log.f64 (neg.f64 a2))))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) (exp.f64 2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3)
(pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 6)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 2/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 4)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) -1)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) -2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (+.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (+.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(pow.f64 (*.f64 (exp.f64 1) (exp.f64 1)) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (*.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (*.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.f64 0 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))) 1)
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1)
(.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) -2)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) (cos.f64 th))
(.f64 (.f64 a2 (pow.f64 2 -1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) -2) (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) 1) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)) -3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) -1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(+.f64 0 (/.f64 (pow.f64 2 1/4) a2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 2 1/4) a2))) 1)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) 1)
(*.f64 1 (/.f64 (pow.f64 2 1/4) a2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (pow.f64 4 1/24) (/.f64 1 a2)))
(*.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (/.f64 1 a2)))
(*.f64 (neg.f64 (pow.f64 2 1/4)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (pow.f64 2 1/4))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(*.f64 (pow.f64 (cbrt.f64 a2) -2) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 -1/2) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 1) (/.f64 (pow.f64 4 1/24) a2))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)) (/.f64 (pow.f64 4 1/24) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/8) 1) (/.f64 (pow.f64 2 1/8) a2))
(*.f64 (/.f64 (pow.f64 2 1/8) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/8) (cbrt.f64 a2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 1)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1/2)
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 1/2))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3/2)
(pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(pow.f64 (exp.f64 1) (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(pow.f64 (/.f64 (*.f64 a2 (pow.f64 2 -1/4)) 1) -1)
(neg.f64 (/.f64 (pow.f64 2 1/4) (neg.f64 a2)))
(sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(fabs.f64 (/.f64 (pow.f64 2 1/4) a2))
(log.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3))
(cbrt.f64 (/.f64 (pow.f64 8 1/4) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 2 1/4) a2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 2 -1/4))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2)))

Outputs
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 -1/2 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 th th))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 a2 a2) (.f64 th th)) -1/2)))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 (.f64 a2 a2) th) th) -1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (fma.f64 -1/2 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 th th)) (.f64 (.f64 1/24 (sqrt.f64 1/2)) (.f64 (*.f64 a2 a2) (pow.f64 th 4)))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) (sqrt.f64 1/2))) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (*.f64 (pow.f64 th 4) 1/24))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (.f64 (pow.f64 th 4) 1/24) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 (*.f64 a2 a2) th) th) -1/2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (fma.f64 -1/2 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 th th)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (pow.f64 th 6))) (.f64 (.f64 1/24 (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (pow.f64 th 4))))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) (sqrt.f64 1/2))) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (pow.f64 th 4)))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 (.f64 a2 (pow.f64 th 6))) -1/720)))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 (.f64 a2 (pow.f64 th 6))) -1/720) (fma.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (.f64 (pow.f64 th 4) 1/24) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 (.f64 a2 a2) th) th) -1/2)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(*.f64 (pow.f64 2 1/4) (/.f64 1 a2))
(/.f64 (pow.f64 2 1/4) a2)
(+.f64 0 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
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(/.f64 1 (*.f64 a2 (pow.f64 2 -1/4)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (.f64 1/2 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (.f64 1/2 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 1/2 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (.f64 1/2 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(/.f64 (pow.f64 2 1/4) a2)
(pow.f64 (exp.f64 1) (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(pow.f64 (E.f64) (.f64 1/2 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(pow.f64 (/.f64 (*.f64 a2 (pow.f64 2 -1/4)) 1) -1)
(/.f64 1 (*.f64 a2 (pow.f64 2 -1/4)))
(neg.f64 (/.f64 (pow.f64 2 1/4) (neg.f64 a2)))
(/.f64 (pow.f64 2 1/4) a2)
(sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(fabs.f64 (/.f64 (pow.f64 2 1/4) a2))
(/.f64 (pow.f64 2 1/4) a2)
(log.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))
(/.f64 (pow.f64 2 1/4) a2)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2))))
(/.f64 (pow.f64 2 1/4) a2)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3))
(/.f64 (pow.f64 2 1/4) a2)
(cbrt.f64 (/.f64 (pow.f64 8 1/4) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 2 1/4) a2)))
(/.f64 (pow.f64 2 1/4) a2)
(exp.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))
(/.f64 (pow.f64 2 1/4) a2)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 1/2))
(sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) 3))
(pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 3)
(/.f64 (pow.f64 (pow.f64 4 1/24) 3) a2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3)) 1/3))
(/.f64 (pow.f64 2 1/4) a2)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2))) 2))
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 2)
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 2 -1/4))) -1))
(/.f64 1 (*.f64 a2 (pow.f64 2 -1/4)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 2 1/4) a2)))
(/.f64 (pow.f64 2 1/4) a2)

eval622.0ms (3.9%)

Compiler: Compiled 22301 to 14450 computations (35.2% saved)

prune611.0ms (3.8%)

Pruning

92 alts after pruning (89 fresh and 3 done)

	Pruned	Kept	Total
New	984	60	1044
Fresh	15	29	44
Picked	1	0	1
Done	2	3	5
Total	1002	92	1094

Accurracy

58.5%

Counts

1094 → 92

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.6%	(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) (sqrt.f64 1/2))) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (*.f64 (pow.f64 th 4) 1/24))))
	9.1%	(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
	17.6%	(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
	32.0%	(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	17.7%	(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	57.0%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	28.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th)))))
	15.4%	(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	14.0%	(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	13.1%	(/.f64 (+.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))))) (exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	14.5%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	14.6%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
	15.3%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)))) 2)
	18.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	17.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	14.5%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3))
	22.0%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 2/3))
	31.1%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 6))
	31.8%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
	30.2%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 4))
	27.2%	(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)))
	28.5%	(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
	15.4%	(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)))
	29.5%	(/.f64 (cos.f64 th) (pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	16.1%	(/.f64 (cos.f64 th) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (E.f64)))
✓	31.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	31.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
▶	29.2%	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
	5.9%	(/.f64 (cos.f64 th) (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))))))
	30.8%	(/.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	27.3%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
	28.5%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1/2))) 2)))
	15.4%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
	5.2%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))) 2)))
	29.6%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)))
	18.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	17.6%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	17.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
▶	16.5%	(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	12.5%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	14.8%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) 1/3)))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (/.f64 (*.f64 th a2) (pow.f64 2 1/4)) 2)))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 th a2) 2))) (sqrt.f64 2))))
	15.0%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))))))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 th (.f64 (.f64 (.f64 th a2) a2) (pow.f64 2 -1/2)))))
	15.0%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))))))
	15.6%	(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
	4.5%	(*.f64 (pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3) a1)
	17.7%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
	31.4%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
	31.8%	(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
	15.6%	(.f64 (/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (sqrt.f64 2)) (.f64 a2 a2))
	14.6%	(.f64 (/.f64 (+.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))))) (sqrt.f64 2)) (*.f64 a2 a2))
	31.3%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	31.2%	(.f64 (/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (sqrt.f64 2)) (*.f64 a2 a2))
▶	32.0%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	18.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	31.3%	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
✓	17.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	18.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	13.0%	(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
	15.6%	(.f64 (+.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 a2 a2))
	16.2%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	17.6%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	17.6%	(.f64 (.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4))) a1)
	31.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	17.6%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
	32.0%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	17.7%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	18.9%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	6.3%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
	30.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	32.0%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
▶	31.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	5.5%	(*.f64 (log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	10.2%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	0.6%	(*.f64 (exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	31.3%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	13.8%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3)) a1)
	32.0%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
▶	18.8%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
	14.3%	(.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
	2.9%	(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
	3.7%	(.f64 -1/2 (.f64 (.f64 a2 a2) (/.f64 (.f64 th th) (sqrt.f64 2))))
	8.9%	(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 2))
	11.5%	(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
	4.5%	(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
	27.9%	(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	20.4%	(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	22.3%	(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) 3))
	22.5%	(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	16.8%	(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

Compiler

Compiled 3043 to 2483 computations (18.4% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.9%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	99.8%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓	99.3%	(/.f64 (sqrt.f64 2) a2)

Compiler

Compiled 29 to 19 computations (34.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`log-prod`
756×	`prod-exp`
690×	`pow-prod-down`
524×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	230	55
2	2981	55

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (sqrt.f64 2) a2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (.f64 2 (pow.f64 a2 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (/.f64 1 a2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a2) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a2))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (*.f64 2 (pow.f64 a2 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 3)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a2))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (neg.f64 (log.f64 a2))))
(exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (neg.f64 (log.f64 a2))))
(exp.f64 (+.f64 (neg.f64 (log.f64 a2)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 a2)) (*.f64 (log1p.f64 1) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 0 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))) 1)
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 a2 (cos.f64 th))))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (neg.f64 (*.f64 a2 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (*.f64 (neg.f64 a2) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 a2))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 a2 (cos.f64 th))) -1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 2))
(exp.f64 (+.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(+.f64 0 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(.f64 1 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -2)) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (neg.f64 a2) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(.f64 (pow.f64 2 -1/2) (.f64 a2 a2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -2) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1/2) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) (pow.f64 a2 3/2))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) 1) a2)
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(pow.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1) -1)
(neg.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) (*.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

926×	`distribute-lft-in`
876×	`distribute-rgt-in`
644×	`log-prod`
378×	`sqr-pow`
366×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	4243
1	864	4079
2	2975	4073

Stop Event

1×	node limit

Counts

177 → 191

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (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 0 (/.f64 (sqrt.f64 2) a2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (.f64 2 (pow.f64 a2 -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 a2 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (/.f64 1 a2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a2) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a2))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (*.f64 2 (pow.f64 a2 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 3)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a2))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (neg.f64 (log.f64 a2))))
(exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (neg.f64 (log.f64 a2))))
(exp.f64 (+.f64 (neg.f64 (log.f64 a2)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 a2)) (*.f64 (log1p.f64 1) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 0 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))) 1)
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 a2 (cos.f64 th))))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (neg.f64 (*.f64 a2 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (*.f64 (neg.f64 a2) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) a2))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 a2))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 a2 (cos.f64 th))) -1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 2))
(exp.f64 (+.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(+.f64 0 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(.f64 1 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -2)) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (neg.f64 a2) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(.f64 (pow.f64 2 -1/2) (.f64 a2 a2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -2) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1/2) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) (pow.f64 a2 3/2))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) 1) a2)
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(pow.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1) -1)
(neg.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) (*.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Outputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 th th))) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 th th))) (sqrt.f64 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 th) (.f64 a2 th))) (sqrt.f64 2)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 th th))) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (*.f64 th th))) (sqrt.f64 2))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 th) (.f64 a2 th))) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 -1/720 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 6))))) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 th th)) (.f64 -1/720 (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (pow.f64 th 6))))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)) (.f64 -1/720 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 6))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
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(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) 3))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))) 1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) 1) 1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 3))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))))) 1/3))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))) 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (log.f64 (cos.f64 th)) 1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (log.f64 (cos.f64 th))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 0 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 1 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -2)) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 2)))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (neg.f64 a2) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (pow.f64 2 -1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (pow.f64 2 -1/2))
(.f64 a2 (.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -2) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1/2) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1/2) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (.f64 (cbrt.f64 a2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (*.f64 2 (pow.f64 a2 -2)))))
(.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) (pow.f64 a2 3/2))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (.f64 2 (pow.f64 a2 -2)))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (*.f64 2 (pow.f64 a2 -2))))
(/.f64 (/.f64 a2 (cbrt.f64 (*.f64 2 (pow.f64 a2 -2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) 1) a2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2) 1/2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)) 1/3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1) -1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(neg.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1) 1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 3))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1/3))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) -1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (+.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) (*.f64 (log.f64 a2) 1)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))

localize40.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
✓	99.4%	(*.f64 a2 (sqrt.f64 1/2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(*.f64 a2 (sqrt.f64 1/2))
0.0ms	a2	@	inf	(*.f64 a2 (sqrt.f64 1/2))
0.0ms	a2	@	-inf	(*.f64 a2 (sqrt.f64 1/2))
0.0ms	a2	@	inf	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
0.0ms	a2	@	0	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`pow1`
1260×	`add-exp-log`
1260×	`log1p-expm1-u`
1260×	`expm1-log1p-u`
1230×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	158	28
2	1766	28

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 a2 (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a2))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 1)
(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 1/2 1/4)) 2)
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-rgt-in`
1248×	`fma-def`
1248×	`distribute-lft-in`
854×	`log-prod`
830×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	644
1	143	644
2	582	644
3	2367	644

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(-.f64 (+.f64 1 (*.f64 a2 (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a2))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 1)
(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 1/2 1/4)) 2)
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))

Outputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(-.f64 (+.f64 1 (*.f64 a2 (sqrt.f64 1/2))) 1)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(*.f64 (sqrt.f64 1/2) a2)
(sqrt.f64 (.f64 1/2 (.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) a2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a2))
(*.f64 (sqrt.f64 1/2) a2)
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(*.f64 (sqrt.f64 1/2) a2)
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) a2)
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) a2)
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) a2)
(-.f64 (+.f64 1 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 1)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 1)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 3)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 3) 1/3)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) 3))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.8%	(.f64 (cos.f64 th) (.f64 a1 a1))
✓	99.7%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	0	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
0.0ms	a1	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
0.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
0.0ms	th	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
218×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	219	44
2	2535	44

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1408×	`log-prod`
1164×	`associate-*r/`
1062×	`unswap-sqr`
928×	`associate-*l/`
826×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1978
1	296	1970
2	1137	1896
3	3877	1860

Stop Event

1×	node limit

Counts

76 → 72

Calls

Call 1

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

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

localize59.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(/.f64 (pow.f64 2 1/4) a2)
✓	99.3%	(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	96.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))

Compiler

Compiled 49 to 43 computations (12.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

a2

inf

(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))

0.0ms

a2

(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))

0.0ms

a2

-inf

(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`log-prod`
600×	`pow-prod-down`
564×	`prod-exp`
562×	`pow-prod-up`
482×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	268	19
2	3050	19

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))

Outputs
(+.f64 0 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 1)
(*.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(.f64 -1 (/.f64 1 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) -1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(pow.f64 (exp.f64 2) (log.f64 (*.f64 a2 (pow.f64 2 -1/4))))
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -1))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (E.f64) (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -6)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4) -1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -2/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) -4)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (neg.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (+.f64 1 (fma.f64 (sqrt.f64 2) (pow.f64 a2 -2) -1)) -1)
(pow.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 2 1/4) a2) 1)) -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1) 1))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`unswap-sqr`
1410×	`associate-*r/`
942×	`fma-def`
686×	`distribute-lft-in`
678×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	4294968964
1	347	1720
2	836	1720
3	2880	1624

Stop Event

1×	node limit

Counts

62 → 67

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 0 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 1)
(*.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(.f64 -1 (/.f64 1 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) -1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(pow.f64 (exp.f64 2) (log.f64 (*.f64 a2 (pow.f64 2 -1/4))))
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -1))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (E.f64) (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -6)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4) -1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -2/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) -4)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (neg.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (+.f64 1 (fma.f64 (sqrt.f64 2) (pow.f64 a2 -2) -1)) -1)
(pow.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 2 1/4) a2) 1)) -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1) 1))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))

Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(+.f64 0 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))) 1)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(*.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4)))
(.f64 -1 (/.f64 1 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 (pow.f64 2 -1/2) a2))
(.f64 (.f64 a2 a2) (pow.f64 2 -1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) -1)
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2) 1)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (exp.f64 2) (log.f64 (*.f64 a2 (pow.f64 2 -1/4))))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -1))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (E.f64) (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -6)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 4) -1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/6) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/6))
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -2/3)
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6)) (*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6) (pow.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -1/6) 3))
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4) 1/2)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) -4)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 (pow.f64 2 -1/2) a2))
(.f64 (.f64 a2 a2) (pow.f64 2 -1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 -2 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 -2 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (neg.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))) (neg.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(pow.f64 (+.f64 1 (fma.f64 (sqrt.f64 2) (pow.f64 a2 -2) -1)) -1)
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(pow.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 2 1/4) a2) 1)) -2)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) -1)
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -4))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2))))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1))
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) -1) 1))
(/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2))))
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 1) 1))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2)) 3))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6)) 1/3))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)

localize38.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.4%	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓	99.1%	(cbrt.f64 a2)
✓	98.5%	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
✓	86.2%	(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 5/6)

Compiler

Compiled 74 to 48 computations (35.1% saved)

series96.0ms (0.6%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	th	@	inf	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
22.0ms	a2	@	0	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
13.0ms	a2	@	0	(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 5/6)
9.0ms	a2	@	inf	(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 5/6)
3.0ms	a2	@	-inf	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`log-prod`
684×	`expm1-udef`
678×	`log1p-udef`
396×	`add-sqr-sqrt`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	83
1	407	75
2	5151	75

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 5/6)
(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(cbrt.f64 a2)

Outputs
(+.f64 0 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) 1)
(*.f64 1 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6)) (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/12) (pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/12))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (pow.f64 a2 -2) 5/6))
(*.f64 (pow.f64 1 5/6) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/6) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4)))) 5/6))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 5/6) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 5/6))
(sqrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6))
(log.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(exp.f64 (log.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) 1)
(*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (neg.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (cos.f64 th))
(*.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (pow.f64 4 1/24)) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) 1) (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)))
(.f64 (/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (pow.f64 4 1/24))) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (neg.f64 (pow.f64 4 1/24))) (neg.f64 (cbrt.f64 a2)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2)
(pow.f64 (/.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (cos.f64 th) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (neg.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(+.f64 0 (cbrt.f64 a2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a2))) (cbrt.f64 (exp.f64 (cbrt.f64 a2))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a2)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 a2))) 1)
(*.f64 (cbrt.f64 a2) 1)
(*.f64 1 (cbrt.f64 a2))
(*.f64 (cbrt.f64 (cbrt.f64 a2)) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (cbrt.f64 (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 1/6) (pow.f64 a2 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 a2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a2) 2) 1/3) (cbrt.f64 (cbrt.f64 a2)))
(*.f64 (pow.f64 (sqrt.f64 a2) 1/3) (pow.f64 (sqrt.f64 a2) 1/3))
(pow.f64 a2 1/3)
(pow.f64 (cbrt.f64 a2) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 a2)) 3)
(pow.f64 (pow.f64 a2 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 a2) 2))
(log.f64 (exp.f64 (cbrt.f64 a2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a2))))
(expm1.f64 (log1p.f64 (cbrt.f64 a2)))
(exp.f64 (log.f64 (cbrt.f64 a2)))
(exp.f64 (*.f64 (log.f64 a2) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 a2)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 a2)))

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`unswap-sqr`
718×	`associate-/r/`
564×	`log-prod`
502×	`associate-r`
486×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	5948
1	695	5780
2	2985	5514

Stop Event

1×	node limit

Counts

128 → 146

Calls

Call 1

Inputs
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (pow.f64 a2 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 2) (pow.f64 a2 2))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 2) (pow.f64 a2 2))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 6) (pow.f64 a2 2))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 2) (pow.f64 a2 2))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (pow.f64 th 4) (pow.f64 a2 2))))))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) 1/6) (.f64 (pow.f64 1/4 1/24) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 0 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) 1)
(*.f64 1 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6)) (cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/12) (pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/12))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (pow.f64 a2 -2) 5/6))
(*.f64 (pow.f64 1 5/6) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) 5/6) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (pow.f64 a2 4)))) 5/6))
(*.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 5/6) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 5/6))
(sqrt.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/6))
(log.f64 (exp.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(exp.f64 (log.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))) 1)
(*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (neg.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (cos.f64 th))
(*.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (pow.f64 4 1/24)) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) 1) (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)))
(.f64 (/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (pow.f64 4 1/24))) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)) (neg.f64 (pow.f64 4 1/24))) (neg.f64 (cbrt.f64 a2)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 2)
(pow.f64 (/.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (cos.f64 th) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)))) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (neg.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))))
(+.f64 0 (cbrt.f64 a2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a2))) (cbrt.f64 (exp.f64 (cbrt.f64 a2))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a2)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 a2))) 1)
(*.f64 (cbrt.f64 a2) 1)
(*.f64 1 (cbrt.f64 a2))
(*.f64 (cbrt.f64 (cbrt.f64 a2)) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (cbrt.f64 (cbrt.f64 a2)))
(*.f64 (pow.f64 a2 1/6) (pow.f64 a2 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 a2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a2) 2) 1/3) (cbrt.f64 (cbrt.f64 a2)))
(*.f64 (pow.f64 (sqrt.f64 a2) 1/3) (pow.f64 (sqrt.f64 a2) 1/3))
(pow.f64 a2 1/3)
(pow.f64 (cbrt.f64 a2) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 a2)) 3)
(pow.f64 (pow.f64 a2 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 a2) 2))
(log.f64 (exp.f64 (cbrt.f64 a2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a2))))
(expm1.f64 (log1p.f64 (cbrt.f64 a2)))
(exp.f64 (log.f64 (cbrt.f64 a2)))
(exp.f64 (*.f64 (log.f64 a2) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 a2)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 a2)))

Outputs
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -2 (log.f64 a2)))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -2 (log.f64 a2))))
(pow.f64 (exp.f64 5/6) (fma.f64 -2 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 -5/3) (log.f64 a2)))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 2 (log.f64 (/.f64 -1 a2)))))
(pow.f64 (exp.f64 5/6) (fma.f64 2 (log.f64 (/.f64 -1 a2)) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 5/3) (log.f64 (/.f64 -1 a2))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 2 (log.f64 (/.f64 -1 a2)))))
(pow.f64 (exp.f64 5/6) (fma.f64 2 (log.f64 (/.f64 -1 a2)) (log.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 5/6) (pow.f64 (exp.f64 5/3) (log.f64 (/.f64 -1 a2))))
(exp.f64 (.f64 5/6 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 2 (log.f64 (/.f64 -1 a2))))))
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(cbrt.f64 a2)

eval418.0ms (2.6%)

Compiler: Compiled 14343 to 10305 computations (28.2% saved)

prune340.0ms (2.1%)

Pruning

123 alts after pruning (117 fresh and 6 done)

	Pruned	Kept	Total
New	751	57	808
Fresh	24	60	84
Picked	1	0	1
Done	1	6	7
Total	777	123	900

Accurracy

58.5%

Counts

900 → 123

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.6%	(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) (sqrt.f64 1/2))) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (*.f64 (pow.f64 th 4) 1/24))))
	9.2%	(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/3)
	13.6%	(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -2/3)
	9.1%	(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
	18.6%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 3)
	18.8%	(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
	17.5%	(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) -4)
	17.6%	(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
	11.0%	(pow.f64 (+.f64 1 (fma.f64 (sqrt.f64 2) (pow.f64 a2 -2) -1)) -1)
	11.3%	(pow.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 2 1/4) a2) 1)) -2)
	18.8%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
	16.2%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
	17.2%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
	18.6%	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -6)
	31.0%	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
	16.8%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 3)
	18.7%	(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 3)
	16.6%	(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
	17.7%	(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	18.7%	(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
✓	57.0%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	28.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th)))))
	15.4%	(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	14.0%	(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	13.1%	(/.f64 (+.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))))) (exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	14.5%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
	15.3%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)))) 2)
	18.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	17.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	31.1%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 6))
	31.8%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
	28.5%	(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
✓	31.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	31.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	9.6%	(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (log.f64 (exp.f64 (cbrt.f64 a2))))))
	16.8%	(/.f64 (cos.f64 th) (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
	29.1%	(/.f64 (cos.f64 th) (.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
	5.9%	(/.f64 (cos.f64 th) (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))))))
	30.8%	(/.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	29.6%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)))
	18.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	17.6%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	18.7%	(/.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
	17.2%	(/.f64 1 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
	17.6%	(/.f64 1 (pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	18.5%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3))
	16.4%	(/.f64 1 (/.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (log1p.f64 1))) (pow.f64 (exp.f64 2) (log.f64 a2))))
	9.9%	(/.f64 1 (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (E.f64)))
	18.7%	(/.f64 1 (/.f64 (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) a2)) a2))
	18.7%	(/.f64 1 (/.f64 (.f64 (pow.f64 2 1/4) (neg.f64 (pow.f64 2 1/4))) (.f64 a2 (neg.f64 a2))))
	17.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	17.4%	(/.f64 1 (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
	18.7%	(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
	18.3%	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
	16.1%	(/.f64 1 (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
	17.3%	(/.f64 1 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1/2))) 2)))
	4.5%	(/.f64 1 (exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))) 2)))
	13.3%	(-.f64 (+.f64 1 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 1)
	12.5%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	14.8%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) 1/3)))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (/.f64 (*.f64 th a2) (pow.f64 2 1/4)) 2)))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 th a2) 2))) (sqrt.f64 2))))
	15.0%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))))))
	15.3%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 th (.f64 (.f64 (.f64 th a2) a2) (pow.f64 2 -1/2)))))
	15.0%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))))))
	15.6%	(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
	4.5%	(*.f64 (pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3) a1)
	17.7%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
	15.6%	(.f64 (/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (sqrt.f64 2)) (.f64 a2 a2))
	14.6%	(.f64 (/.f64 (+.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))))) (sqrt.f64 2)) (*.f64 a2 a2))
	31.3%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	16.2%	(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 1 (.f64 -1/2 (*.f64 th th))))
✓	32.0%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	18.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	28.8%	(.f64 (/.f64 a2 (exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (neg.f64 (log.f64 a2))))) (cos.f64 th))
	31.3%	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
✓	17.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	18.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	13.0%	(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
	15.6%	(.f64 (+.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 a2 a2))
	17.6%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	31.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	17.6%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
	32.0%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	31.3%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
	17.7%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	18.9%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	6.3%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
	14.0%	(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (+.f64 (.f64 a1 a1) (.f64 (.f64 1/24 (.f64 a1 a1)) (pow.f64 th 4)))))
	31.0%	(.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a1 a1))) 3))
	30.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	14.6%	(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a1 a1)))
	14.0%	(.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (+.f64 (.f64 1/24 (pow.f64 th 4)) 1))))
	30.4%	(.f64 (sqrt.f64 1/2) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (.f64 a1 a1)))
	32.0%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
✓	31.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	17.7%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	25.2%	(.f64 (sqrt.f64 1/2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))))
	22.1%	(.f64 (sqrt.f64 1/2) (exp.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))))
	5.5%	(*.f64 (log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	10.2%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	29.6%	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1/3)) (cos.f64 th))
	0.6%	(*.f64 (exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	18.6%	(.f64 a2 (pow.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2))) 3))
	32.0%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	13.5%	(.f64 a2 (-.f64 (+.f64 1 (.f64 a2 (sqrt.f64 1/2))) 1))
✓	18.8%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
	18.6%	(.f64 a2 (sqrt.f64 (.f64 1/2 (*.f64 a2 a2))))
	5.7%	(*.f64 a2 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a2)))
	18.1%	(.f64 a2 (expm1.f64 (log1p.f64 (.f64 a2 (sqrt.f64 1/2)))))
	14.4%	(.f64 a2 (cbrt.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)))
	14.3%	(.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
	2.9%	(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
	3.7%	(.f64 -1/2 (.f64 (.f64 a2 a2) (/.f64 (.f64 th th) (sqrt.f64 2))))
	8.9%	(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 2))
	13.6%	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 2))
	11.5%	(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
	4.5%	(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
	18.3%	(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
	9.1%	(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6)) 1/3))
	17.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2)) 3))
	17.9%	(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
	16.8%	(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

Compiler

Compiled 1982 to 1636 computations (17.5% saved)

regimes907.0ms (5.6%)

Counts

181 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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 (.f64 (pow.f64 2 -1/2) a1) a1)
(.f64 a2 (sqrt.f64 (.f64 1/2 (*.f64 a2 a2))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (-.f64 (+.f64 1 (.f64 a2 (sqrt.f64 1/2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 1 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 -1/2 (.f64 (.f64 a2 a2) (/.f64 (.f64 th th) (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 1 (.f64 -1/2 (*.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th)))))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 -2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 1 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 2 1/4) a2) 1)) -2)
(.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) a2)) a2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 1 (/.f64 (.f64 (pow.f64 2 1/4) (neg.f64 (pow.f64 2 1/4))) (.f64 a2 (neg.f64 a2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)))) 2)
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (+.f64 (.f64 1/24 (pow.f64 th 4)) 1))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 th (.f64 (.f64 (.f64 th a2) a2) (pow.f64 2 -1/2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))))
(.f64 a2 (expm1.f64 (log1p.f64 (.f64 a2 (sqrt.f64 1/2)))))
(*.f64 (exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
(*.f64 (log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -6)
(pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) -4)
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(.f64 a2 (cbrt.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)))
(.f64 a2 (pow.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2))) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3)) a1)
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) -2/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) -1/3)
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3) a1)
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(/.f64 1 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(.f64 (cos.f64 th) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (/.f64 (*.f64 th a2) (pow.f64 2 1/4)) 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (.f64 a2 th) (.f64 a2 th))))
(.f64 (/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (+.f64 (.f64 a1 a1) (.f64 (.f64 1/24 (.f64 a1 a1)) (pow.f64 th 4)))))
(*.f64 a2 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a2)))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) -2))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2) 3)
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) -6)) 1/3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.f64 (sqrt.f64 1/2) (exp.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(.f64 (sqrt.f64 1/2) (expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/8) (sqrt.f64 a2)) 4))
(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2)) 6))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) -2))
(pow.f64 (+.f64 1 (fma.f64 (sqrt.f64 2) (pow.f64 a2 -2) -1)) -1)
(.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a1 a1))) 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
(/.f64 1 (pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 3) 2/3))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1)))
(.f64 (/.f64 a2 (exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (neg.f64 (log.f64 a2))))) (cos.f64 th))
(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1/3)) (cos.f64 th))
(.f64 (.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4))) a1)
(/.f64 1 (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(+.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 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (.f64 -1/2 (pow.f64 th 2))))) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 1/4) a2)) -2)) 3))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 2) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) 3))
(.f64 (sqrt.f64 1/2) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (.f64 a1 a1)))
(.f64 (/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (*.f64 (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 th a2) 2))) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) 3) 1/3)))
(/.f64 (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th)))) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(.f64 (+.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 a2 a2))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (log1p.f64 1))) (pow.f64 (exp.f64 2) (log.f64 a2))))
(/.f64 1 (exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))) 2)))
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 th a2) 2) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 2))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))))))
(/.f64 (+.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))))) (exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2)))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) (sqrt.f64 1/2))) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (*.f64 (pow.f64 th 4) 1/24))))
(/.f64 (cos.f64 th) (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))))))
(/.f64 1 (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (E.f64)))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 2 1/4) a2)))))) 2)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12))) 2))
(/.f64 (cos.f64 th) (.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) 5/6) (/.f64 (pow.f64 4 1/24) (log.f64 (exp.f64 (cbrt.f64 a2))))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (/.f64 (cbrt.f64 a2) (pow.f64 4 1/24)) (pow.f64 (/.f64 2 (pow.f64 a2 4)) 5/12)))) 3)
(/.f64 (cos.f64 th) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (E.f64)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) -2))
(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)))
(/.f64 1 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(/.f64 (cos.f64 th) (.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3)) 5/6) (/.f64 (pow.f64 4 1/24) (cbrt.f64 a2))))
(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))))
(/.f64 (cos.f64 th) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
(/.f64 1 (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
(/.f64 1 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1/2))) 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))))))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2))))) 2)))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) 1/2))) 2)))

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

Calls

8 calls:

166.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
106.0ms	th
102.0ms	(*.f64 a2 a2)
101.0ms	a1
98.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
57.1%	1	`a1`
57.1%	1	`a2`
57.1%	1	`th`
57.1%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
57.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
57.1%	1	`(cos.f64 th)`
57.1%	1	`(*.f64 a1 a1)`
57.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 2477 to 1701 computations (31.3% saved)

regimes212.0ms (1.3%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	(cos.f64 th)
30.0ms	a2
30.0ms	a1
30.0ms	th
25.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
57.0%	1	`a1`
57.0%	1	`a2`
57.0%	1	`th`
57.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
57.0%	1	`(cos.f64 th)`
57.0%	1	`(*.f64 a1 a1)`
57.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 665 to 406 computations (38.9% saved)

regimes203.0ms (1.3%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

7 calls:

33.0ms	a1
31.0ms	a2
29.0ms	th
25.0ms	(cos.f64 th)
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
57.0%	1	`a1`
57.0%	1	`a2`
57.0%	1	`th`
57.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
57.0%	1	`(cos.f64 th)`
57.0%	1	`(*.f64 a1 a1)`
57.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 652 to 402 computations (38.3% saved)

regimes958.0ms (5.9%)

Counts

62 → 2

Calls

Call 1

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

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

Calls

7 calls:

230.0ms	th
223.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
212.0ms	(cos.f64 th)
135.0ms	(*.f64 a1 a1)
55.0ms	a1

Results

Accuracy	Segments	Branch
49.8%	2	`a1`
50.6%	2	`a2`
47.6%	5	`th`
48.9%	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
48.9%	7	`(cos.f64 th)`
49.2%	4	`(*.f64 a1 a1)`
46.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 626 to 387 computations (38.2% saved)

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

10.0ms	27×	body	1024	valid
10.0ms	55×	body	256	valid
7.0ms	23×	body	512	valid
7.0ms	15×	body	1024	infinite
3.0ms	19×	body	256	infinite
1.0ms	5×	body	512	infinite

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes496.0ms (3.1%)

Counts

46 → 2

Calls

Call 1

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

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

Calls

6 calls:

150.0ms	(cos.f64 th)
109.0ms	th
99.0ms	(*.f64 a1 a1)
51.0ms	a1
45.0ms	a2

Results

Accuracy	Segments	Branch
49.8%	2	`a1`
50.6%	2	`a2`
47.6%	5	`th`
48.8%	7	`(cos.f64 th)`
49.2%	4	`(*.f64 a1 a1)`
46.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 459 to 282 computations (38.6% saved)

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

14.0ms	32×	body	1024	valid
10.0ms	61×	body	256	valid
6.0ms	17×	body	512	valid
4.0ms	19×	body	256	infinite
3.0ms	7×	body	1024	infinite
2.0ms	8×	body	512	infinite

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes351.0ms (2.2%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

6 calls:

100.0ms	(cos.f64 th)
89.0ms	th
50.0ms	(*.f64 a1 a1)
38.0ms	a1
38.0ms	a2

Results

Accuracy	Segments	Branch
49.8%	2	`a1`
50.6%	2	`a2`
47.6%	5	`th`
48.8%	7	`(cos.f64 th)`
49.2%	4	`(*.f64 a1 a1)`
46.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 414 to 261 computations (37% saved)

bsearch42.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

17.0ms	40×	body	1024	valid
10.0ms	64×	body	256	valid
6.0ms	17×	body	512	valid
3.0ms	7×	body	1024	infinite
3.0ms	12×	body	256	infinite
1.0ms	4×	body	512	infinite

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes345.0ms (2.1%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

6 calls:

112.0ms	(cos.f64 th)
81.0ms	th
45.0ms	(*.f64 a1 a1)
35.0ms	a1
35.0ms	a2

Results

Accuracy	Segments	Branch
49.8%	2	`a1`
50.6%	2	`a2`
47.5%	5	`th`
48.8%	7	`(cos.f64 th)`
49.1%	4	`(*.f64 a1 a1)`
46.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 405 to 256 computations (36.8% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

13.0ms	77×	body	256	valid
9.0ms	23×	body	1024	valid
4.0ms	10×	body	1024	infinite
3.0ms	21×	body	256	infinite
3.0ms	10×	body	512	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes238.0ms (1.5%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

6 calls:

50.0ms	a2
49.0ms	th
47.0ms	a1
31.0ms	(*.f64 a2 a2)
28.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
40.5%	2	`a1`
41.0%	2	`a2`
42.6%	3	`th`
42.8%	2	`(cos.f64 th)`
39.5%	2	`(*.f64 a1 a1)`
39.4%	2	`(*.f64 a2 a2)`

Compiler

Compiled 387 to 248 computations (35.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9900551123136592	0.9949703526997342

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes87.0ms (0.5%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	a1
17.0ms	a2
17.0ms	th
12.0ms	(*.f64 a1 a1)
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
30.5%	1	`a1`
30.5%	1	`a2`
30.5%	1	`th`
30.5%	1	`(*.f64 a1 a1)`
30.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 373 to 238 computations (36.2% saved)

regimes95.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	a2
19.0ms	th
18.0ms	a1
16.0ms	(*.f64 a1 a1)
11.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
27.6%	2	`a1`
27.8%	2	`a2`
21.0%	2	`th`
25.8%	2	`(*.f64 a1 a1)`
26.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 138 to 90 computations (34.8% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

11.0ms	59×	body	256	valid
11.0ms	25×	body	1024	valid
6.0ms	22×	body	512	valid
4.0ms	26×	body	256	infinite
3.0ms	8×	body	1024	infinite
2.0ms	4×	body	512	infinite

Compiler

Compiled 226 to 173 computations (23.5% saved)

regimes68.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	a2
16.0ms	(*.f64 a1 a1)
12.0ms	a1
11.0ms	th
8.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
27.6%	2	`a1`
27.8%	2	`a2`
21.0%	2	`th`
25.8%	2	`(*.f64 a1 a1)`
26.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 88 to 59 computations (33% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

10.0ms	26×	body	1024	valid
9.0ms	58×	body	256	valid
6.0ms	34×	body	256	infinite
5.0ms	15×	body	512	valid
2.0ms	6×	body	1024	infinite
1.0ms	5×	body	512	infinite

Compiler

Compiled 208 to 164 computations (21.2% saved)

regimes38.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	a2
8.0ms	(*.f64 a1 a1)
7.0ms	th
7.0ms	a1
5.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
27.6%	2	`a1`
27.8%	2	`a2`
21.0%	2	`th`
25.8%	2	`(*.f64 a1 a1)`
26.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 45 to 32 computations (28.9% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

12.0ms	72×	body	256	valid
9.0ms	24×	body	1024	valid
5.0ms	26×	body	256	infinite
4.0ms	10×	body	512	valid
4.0ms	10×	body	1024	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 208 to 164 computations (21.2% saved)

regimes29.0ms (0.2%)

Accuracy

Total -14.4b remaining (-31.2%)

Threshold costs -14.4b (-31.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	a2
7.0ms	(*.f64 a1 a1)
6.0ms	a1
6.0ms	th

Results

Accuracy	Segments	Branch
27.6%	2	`a1`
27.7%	2	`a2`
21.0%	2	`th`
25.8%	2	`(*.f64 a1 a1)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.5027858573139197e-135	3.55833842990177e-127

Results

14.0ms	28×	body	1024	valid
10.0ms	61×	body	256	valid
5.0ms	13×	body	1024	infinite
4.0ms	13×	body	512	valid
4.0ms	24×	body	256	infinite
1.0ms	5×	body	512	infinite

Compiler

Compiled 208 to 164 computations (21.2% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	664
1	89	664

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(if (<=.f64 a2 4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) 1116892707587883/1125899906842624) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 6193549123826929/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (sqrt.f64 (.f64 1/2 (.f64 a2 a2)))))
(if (<=.f64 a2 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 390218568789499/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

Outputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 a2 4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(if (<=.f64 a2 8536031192270291/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) 1116892707587883/1125899906842624) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) 1116892707587883/1125899906842624) (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(if (<=.f64 a2 6193549123826929/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (sqrt.f64 (.f64 1/2 (.f64 a2 a2)))))
(if (<=.f64 a2 6193549123826929/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (sqrt.f64 (.f64 (.f64 a2 a2) 1/2))))
(if (<=.f64 a2 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 390218568789499/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 390218568789499/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(if (<=.f64 a2 1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

Compiler

Compiled 276 to 193 computations (30.1% saved)

soundness1.7s (10.8%)

Rules

1826×	`prod-diff`
1726×	`log-prod`
1598×	`fma-def`
1598×	`fma-def`
1476×	`fma-def`

Iterations

Useful iterations: 0 (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	14	50
1	300	48
2	4088	48
0	362	8061
1	978	7727
2	3833	6473
0	11	44
1	231	44
2	3041	44
0	407	6224
1	973	6070
2	3636	6042
0	267	5595
1	726	5135
2	2949	4803
0	111	1978
1	296	1970
2	1137	1896
3	3877	1860
0	407	6224
1	973	6070
2	3636	6042
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	297	5651
1	645	5489
2	2432	5185
0	131	2149
1	283	2107
2	738	2067
3	2778	1983
4	7163	1983
0	8	28
1	158	28
2	1766	28
0	279	3846
1	696	3736
2	2077	3730
3	6454	3730
0	267	5595
1	726	5135
2	2949	4803
0	297	5651
1	645	5489
2	2432	5185
0	11	44
1	231	44
2	3041	44
0	362	8061
1	978	7727
2	3833	6473

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

Compiler

Compiled 853 to 524 computations (38.6% saved)

end140.0ms (0.9%)

Remove: (sort a1 a2)
Compiler: Compiled 271 to 147 computations (45.8% saved)

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3