Details

analyze355.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3.1%	96.9%	0%	0%	0%	0
0%	0%	3.1%	96.9%	0%	0%	0%	1
0%	0%	3.1%	96.9%	0%	0%	0%	2
0%	0%	3.1%	96.9%	0%	0%	0%	3
0%	0%	3.1%	96.9%	0%	0%	0%	4
0%	0%	3.1%	96.9%	0%	0%	0%	5
0%	0%	1.6%	96.9%	0%	1.6%	0%	6
0%	0%	1.6%	96.9%	0%	1.6%	0%	7
0%	0%	1.6%	96.9%	0%	1.6%	0%	8
0%	0%	1.6%	96.9%	0%	1.6%	0%	9
0%	0%	1.6%	96.9%	0%	1.6%	0%	10
38.3%	0.6%	1%	96.9%	0%	1.6%	0%	11
38.3%	0.6%	1%	96.9%	0%	1.6%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample1.9s (7.3%)

Results

1.9s	8256×	body	256	valid
3.0ms	14×	body	256	invalid

Bogosity

preprocess248.0ms (0.9%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v) (/.f64 (.f64 cosTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 sinTheta_O cosTheta_O) v) (/.f64 (.f64 sinTheta_i cosTheta_i) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 v cosTheta_O) cosTheta_i) (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_i)) (/.f64 1 cosTheta_i)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 cosTheta_i)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i sinTheta_i) v) (/.f64 (.f64 cosTheta_O sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i cosTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i v) cosTheta_O) (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_O)) (/.f64 1 cosTheta_O)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 cosTheta_O)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_O sinTheta_i) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_i) (/.f64 (.f64 v sinTheta_O) sinTheta_i)) (/.f64 1 sinTheta_i)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 sinTheta_i)))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_O) (/.f64 (.f64 sinTheta_i v) sinTheta_O)) (/.f64 1 sinTheta_O)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 sinTheta_O)))))

Outputs
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v) (/.f64 (.f64 cosTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O sinTheta_i (neg.f64 (*.f64 cosTheta_i sinTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 sinTheta_O cosTheta_O) v) (/.f64 (.f64 sinTheta_i cosTheta_i) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O sinTheta_O (neg.f64 (*.f64 sinTheta_i cosTheta_i))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 v cosTheta_O) cosTheta_i) (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_i)) (/.f64 1 cosTheta_i)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 cosTheta_i)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O v (neg.f64 (*.f64 sinTheta_i sinTheta_O))) 1) cosTheta_i) 6931/10000) (log.f64 (/.f64 1/2 cosTheta_i))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i sinTheta_i) v) (/.f64 (.f64 cosTheta_O sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 sinTheta_i cosTheta_i (neg.f64 (*.f64 sinTheta_O cosTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i cosTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 sinTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i cosTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i v) cosTheta_O) (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_O)) (/.f64 1 cosTheta_O)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 cosTheta_O)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 v cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) 1) cosTheta_O) 6931/10000) (log.f64 (/.f64 1/2 cosTheta_O))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_O sinTheta_i) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) 1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_i) (/.f64 (.f64 v sinTheta_O) sinTheta_i)) (/.f64 1 sinTheta_i)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 sinTheta_i)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 v sinTheta_O))) 1) sinTheta_i) 6931/10000) (log.f64 (/.f64 1/2 sinTheta_i))))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_O) (/.f64 (.f64 sinTheta_i v) sinTheta_O)) (/.f64 1 sinTheta_O)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 sinTheta_O)))))
(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i v))) 1) sinTheta_O) 6931/10000) (log.f64 (/.f64 1/2 sinTheta_O))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify101.0ms (0.4%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))

Outputs

(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))

(exp.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_O sinTheta_i 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))

eval1.0ms (0%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
✓	0.0b	(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
✓	19.1b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
✓	19.2b	(/.f64 (*.f64 sinTheta_i sinTheta_O) v)

Compiler

Compiled 138 to 57 computations (58.7% saved)

series164.0ms (0.6%)

Counts

4 → 114

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	cosTheta_i	@	0	(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
2.0ms	sinTheta_i	@	inf	(-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
1.0ms	cosTheta_i	@	0	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
1.0ms	sinTheta_O	@	0	(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
1.0ms	v	@	-inf	(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))

Compiler

Compiled 13730 to 6960 computations (49.3% saved)

rewrite293.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

96×	`egg-rr`
92×	`egg-rr`
62×	`egg-rr`
49×	`egg-rr`

Counts

4 → 299

Calls

Call 1

Inputs
(/.f64 (*.f64 sinTheta_i sinTheta_O) v)
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 sinTheta_O 0) (/.f64 sinTheta_i (/.f64 v sinTheta_O)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 sinTheta_i 0) (/.f64 sinTheta_O (/.f64 v sinTheta_i)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) 0) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 sinTheta_i sinTheta_O) 0) (/.f64 1 (/.f64 v (.f64 sinTheta_i sinTheta_O))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) (/.f64 v (cbrt.f64 (.f64 sinTheta_i sinTheta_O)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_i)) sinTheta_O) 0) (/.f64 (cbrt.f64 sinTheta_i) (/.f64 (/.f64 v sinTheta_O) (cbrt.f64 (.f64 sinTheta_i sinTheta_i)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cbrt.f64 (.f64 sinTheta_O sinTheta_O)) sinTheta_i) 0) (/.f64 (cbrt.f64 sinTheta_O) (/.f64 v (.f64 (cbrt.f64 (.f64 sinTheta_O sinTheta_O)) sinTheta_i))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 sinTheta_O sinTheta_O)) 0) (/.f64 (.f64 sinTheta_i (cbrt.f64 sinTheta_O)) (/.f64 v (cbrt.f64 (.f64 sinTheta_O sinTheta_O)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_i)) 0) (/.f64 (.f64 sinTheta_O (cbrt.f64 sinTheta_i)) (/.f64 v (cbrt.f64 (.f64 sinTheta_i sinTheta_i)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) -1)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 v)) (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 sinTheta_i sinTheta_O) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 sinTheta_i v) sinTheta_O)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 v) (.f64 sinTheta_i sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 v)) (cbrt.f64 (/.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 sinTheta_O (/.f64 sinTheta_i v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 sinTheta_i (/.f64 sinTheta_O v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 sinTheta_i (cbrt.f64 v)) (/.f64 sinTheta_O (cbrt.f64 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 v)) (/.f64 (.f64 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cosTheta_O (.f64 sinTheta_i sinTheta_O)) v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v) 3))))))

simplify860.0ms (3.2%)

Algorithm

1×

egglog

Counts

413 → 395

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (pow.f64 (/.f64 cosTheta_O v) 3)))) (+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))))))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))
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(+.f64 (.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) cosTheta_O) (+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (.f64 (pow.f64 cosTheta_O 3) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))))) (+.f64 (.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) cosTheta_O) (+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))))))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
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(+.f64 0 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v))
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(.f64 1 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v))
(.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v) 1)
(.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v) -1)
(.f64 (/.f64 -1 v) (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)))
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(.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (/.f64 1 (*.f64 v v))))
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(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (-.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
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(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
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(/.f64 (.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O)))) (/.f64 -1 v)) (neg.f64 v))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 v)) (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) 1) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 v)) (cbrt.f64 v))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 (.f64 v v)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 v v))) 2))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 v)) (.f64 (cbrt.f64 (.f64 v v)) v))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 (.f64 v v))) (.f64 (cbrt.f64 v) v))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (.f64 v (cbrt.f64 v))) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 (neg.f64 v))) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) 1) (neg.f64 v))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 v)) (neg.f64 (cbrt.f64 (.f64 v v))))
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 1)
(/.f64 (neg.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) v)) (neg.f64 v))
(/.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v))) (neg.f64 (cbrt.f64 (.f64 v v))))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) v) v)
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (neg.f64 v)) (neg.f64 v))
(pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)) 3)
(pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 1)
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(neg.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v) 0))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 3))

Outputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))))
(*.f64 (+.f64 cosTheta_i 1) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v))))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))))))))
(+.f64 (.f64 (+.f64 cosTheta_i 1) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (*.f64 cosTheta_i cosTheta_i)) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v))))))
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(fma.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v))) (pow.f64 (/.f64 cosTheta_O v) 3))) (+.f64 (.f64 (+.f64 cosTheta_i 1) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (*.f64 cosTheta_i cosTheta_i)) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 (fma.f64 sinTheta_i sinTheta_O 1) v)))
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(+.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 v v)) (neg.f64 (/.f64 (.f64 v (.f64 sinTheta_i sinTheta_O)) (.f64 v v))))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(-.f64 0 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(-.f64 (+.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(-.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(-.f64 (/.f64 (neg.f64 (neg.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 v v)) (/.f64 (.f64 v (.f64 sinTheta_i sinTheta_O)) (.f64 v v)))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(-.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 v v)) (/.f64 (.f64 v (.f64 sinTheta_i sinTheta_O)) (.f64 v v)))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2)))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v) 2)) (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (/.f64 1 v))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (/.f64 1 v) (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 -1 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v))
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(.f64 1 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v) 1)
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v) -1)
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(.f64 (/.f64 -1 v) (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) v))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2) 2)))))
(.f64 (cbrt.f64 (/.f64 1 v)) (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (.f64 v v))) (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 (*.f64 v v)))))
(.f64 (cbrt.f64 (/.f64 1 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 (*.f64 v v))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 v v))) (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 v v))) (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 v))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2)))
(neg.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2))))
(neg.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 2))))
(.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (/.f64 1 (.f64 v v)))
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 v v))) (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 v))
(.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (/.f64 -1 v))
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (-.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))))
(.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2))) (cbrt.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) (.f64 sinTheta_i sinTheta_O)) (.f64 v v)))) (-.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))))
(.f64 (/.f64 1 (.f64 v v)) (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))))
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(.f64 (.f64 (/.f64 1 v) (cbrt.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))))) (pow.f64 (cbrt.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) 2))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(.f64 (.f64 v (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O))) (/.f64 (/.f64 -1 v) v))
(.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O)))) v) (/.f64 1 v))
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (.f64 v v)))
(/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) (neg.f64 v))
(/.f64 (.f64 v (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O))) (neg.f64 (*.f64 v v)))
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(/.f64 (.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O)))) (/.f64 -1 v)) (neg.f64 v))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 v)) (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) 1) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 v)) (cbrt.f64 v))
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 (.f64 v v)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 v v))) 2))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 v)) (.f64 (cbrt.f64 (.f64 v v)) v))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (cbrt.f64 (.f64 v v))) (.f64 (cbrt.f64 v) v))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (.f64 v (cbrt.f64 v))) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (.f64 (cbrt.f64 v) v)) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 (neg.f64 v))) (cbrt.f64 (.f64 v v)))
(/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (.f64 (cbrt.f64 (*.f64 v v)) (cbrt.f64 (neg.f64 v))))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) 1) (neg.f64 v))
(/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) (neg.f64 v))
(/.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 v)) (neg.f64 (cbrt.f64 (.f64 v v))))
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 1)
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(/.f64 (neg.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) v)) (neg.f64 v))
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(/.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v))) (neg.f64 (cbrt.f64 (.f64 v v))))
(/.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v)) (cbrt.f64 (.f64 v v)))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) v) v)
(/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (*.f64 v v))
(/.f64 (/.f64 (.f64 v (fma.f64 cosTheta_O cosTheta_i (neg.f64 (.f64 sinTheta_i sinTheta_O)))) (neg.f64 v)) (neg.f64 v))
(pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 3) 1/3)
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)) 3)
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 1)
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(neg.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v) 0))
(neg.f64 (/.f64 (fma.f64 (neg.f64 cosTheta_i) cosTheta_O (*.f64 sinTheta_i sinTheta_O)) v))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v) 3))
(/.f64 (fma.f64 cosTheta_O cosTheta_i (neg.f64 (*.f64 sinTheta_i sinTheta_O))) v)

eval671.0ms (2.5%)

Compiler: Compiled 14732 to 7341 computations (50.2% saved)

prune131.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	391	4	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	392	4	396

Error

0.0b

Counts

396 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
▶	0.0b	(.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) (exp.f64 6931/10000))
▶	0.0b	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
▶	44.3b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))

Compiler

Compiled 102 to 79 computations (22.5% saved)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
✓	0.3b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)
✓	5.7b	(exp.f64 (log.f64 (/.f64 1/2 v)))
✓	43.6b	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))

Compiler

Compiled 156 to 91 computations (41.7% saved)

series268.0ms (1%)

Counts

4 → 130

Calls

36 calls:

Time	Variable		Point	Expression
27.0ms	v	@	0	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
14.0ms	cosTheta_i	@	inf	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
10.0ms	v	@	-inf	(exp.f64 (log.f64 (/.f64 1/2 v)))
10.0ms	cosTheta_O	@	inf	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
9.0ms	sinTheta_O	@	inf	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))

Compiler

Compiled 22870 to 15690 computations (31.4% saved)

rewrite161.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

62×	`egg-rr`
48×	`egg-rr`
44×	`egg-rr`
44×	`egg-rr`

Counts

4 → 198

Calls

Call 1

Inputs
(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
(exp.f64 (log.f64 (/.f64 1/2 v)))
(.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (.f64 2 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3))))))

simplify576.0ms (2.2%)

Algorithm

1×

egglog

Counts

328 → 290

Calls

Call 1

Inputs
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(.f64 (.f64 (cbrt.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000))) 2) 2))
(.f64 (cbrt.f64 9) (.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (cbrt.f64 3)))
(.f64 (.f64 3 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (/.f64 1 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (/.f64 3 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000) 1)
(/.f64 (/.f64 (.f64 3 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))) (pow.f64 (cbrt.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))) 2))
(/.f64 (.f64 3 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (.f64 3 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (neg.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2)) 3)) (cbrt.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) 3) (neg.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (/.f64 (.f64 3 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) 1) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (/.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))) 3))
(/.f64 (+.f64 (pow.f64 20793/10000 3) (pow.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v) 3)) (+.f64 (.f64 20793/10000 20793/10000) (-.f64 (.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v) (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)) (.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v) 3) (pow.f64 20793/10000 3)) (+.f64 (.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v) (/.f64 (.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)) (-.f64 (.f64 20793/10000 20793/10000) (.f64 (/.f64 (*.f64 3 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v) 20793/10000))))
(/.f64 (neg.f64 (.f64 3 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (neg.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(pow.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000) 1)
(pow.f64 (pow.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000)) 3)
(neg.f64 (neg.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000)))
(cbrt.f64 (pow.f64 (fma.f64 3 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 20793/10000) 3))
(if (!=.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 0) (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 -1 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2)) (*.f64 -1 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2) -1) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2) -1))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2))
(.f64 (.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (exp.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) 3) (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) 3))
(*.f64 -1 (pow.f64 (neg.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(*.f64 1 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1)
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))) -1)
(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) 1) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))
(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) -1))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)) 1/3)
(pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 3))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3)) 2))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 3/2)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2) 2)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 2 3))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 3))) (sqrt.f64 3))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 3))) (cbrt.f64 9))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 3))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (*.f64 2 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3))

Outputs
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2)))))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)))))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2)))))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)))))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2)))))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)))))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2)))))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)))))
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(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) 1) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(.f64 (.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) -1))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) -1))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9))
(pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 3))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3)) 2))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 3/2)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3/2) 2)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (*.f64 2 3/2))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 2 3))
(pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 6)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 3))) (sqrt.f64 3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 3)) (sqrt.f64 3)))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 3))) (cbrt.f64 9))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 3)) (cbrt.f64 9)))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 3))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (*.f64 2 (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(exp.f64 (+.f64 (*.f64 2 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3))
(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9))

localize65.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
✓	0.0b	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
✓	0.3b	(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
	19.1b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 80 to 47 computations (41.3% saved)

series114.0ms (0.4%)

Counts

3 → 61

Calls

21 calls:

Time	Variable		Point	Expression
35.0ms	v	@	-inf	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	v	@	inf	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	cosTheta_i	@	0	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	cosTheta_O	@	0	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	cosTheta_i	@	inf	(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))

Compiler

Compiled 7540 to 5215 computations (30.8% saved)

rewrite171.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

106×	`egg-rr`
67×	`egg-rr`
51×	`egg-rr`

Counts

3 → 224

Calls

Call 1

Inputs
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))

Inputs

(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))

(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))

(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 6931/10000) (sqrt.f64 6931/10000) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 6931/10000) (cbrt.f64 48038761/100000000) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 48038761/100000000) (cbrt.f64 6931/10000) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 6931/10000 (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 1/2 v)) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6931/10000 1 (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v))) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 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Outputs

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simplify595.0ms (2.2%)

Algorithm

1×

egglog

Counts

285 → 297

Calls

Call 1

Inputs
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))
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(pow.f64 (pow.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))) 3)
(pow.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 1)
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Outputs
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))
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(*.f64 (+.f64 cosTheta_i 1) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))
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(/.f64 (+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (.f64 (cbrt.f64 (.f64 v v)) (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))))) (.f64 (cbrt.f64 (.f64 v v)) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))))
(/.f64 (fma.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (neg.f64 (.f64 (cbrt.f64 (.f64 v v)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))))) (neg.f64 (.f64 (cbrt.f64 (*.f64 v v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) v) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (.f64 cosTheta_i cosTheta_O))) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) v))
(/.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) v (.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) v)
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (neg.f64 v)) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (neg.f64 (.f64 cosTheta_i cosTheta_O)))) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (neg.f64 v)))
(/.f64 (/.f64 (fma.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (neg.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (neg.f64 v)))) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (neg.f64 v))
(/.f64 (+.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (cbrt.f64 (.f64 v v))) (.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)))) (.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) (cbrt.f64 (.f64 v v))))
(/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (cbrt.f64 (.f64 v v)) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (.f64 (cbrt.f64 (*.f64 v v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (cbrt.f64 (.f64 v v))) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)))) (.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (cbrt.f64 (.f64 v v))))
(/.f64 (fma.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (neg.f64 (.f64 (cbrt.f64 (.f64 v v)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))))) (neg.f64 (.f64 (cbrt.f64 (*.f64 v v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))))
(/.f64 (.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) 1) (.f64 (*.f64 v (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) 1))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) v)
(/.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) 1) (.f64 (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))) 1))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(/.f64 (.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) 1) (.f64 (*.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) v) 1))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) v)
(/.f64 (.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (neg.f64 v) (.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) 1) (.f64 (*.f64 (neg.f64 v) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) 1))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (neg.f64 v) (.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (neg.f64 v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))
(/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (.f64 1 (.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) v)))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) v)
(/.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3))) (neg.f64 (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000)))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(/.f64 (neg.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)))) (*.f64 (neg.f64 v) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) v)
(/.f64 (neg.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (neg.f64 v) (.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)))) (neg.f64 (*.f64 (neg.f64 v) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))))
(/.f64 (/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (neg.f64 v) (.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (neg.f64 v)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))
(/.f64 (.f64 1 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3))) (+.f64 48038761/100000000 (.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(/.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) 1) (+.f64 48038761/100000000 (.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3)) (+.f64 48038761/100000000 (*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(pow.f64 (pow.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))) 3)
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(pow.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 1)
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(neg.f64 (neg.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))

localize71.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
✓	0.0b	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))

New

Error

Program

✓

0.0b

(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))

✓

0.0b

(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))

Compiler

Compiled 105 to 55 computations (47.6% saved)

series100.0ms (0.4%)

Counts

2 → 109

Calls

30 calls:

Time	Variable		Point	Expression
17.0ms	sinTheta_O	@	inf	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
1.0ms	v	@	inf	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
1.0ms	v	@	-inf	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
1.0ms	sinTheta_i	@	0	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
1.0ms	cosTheta_i	@	0	(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))

Compiler

Compiled 15090 to 8220 computations (45.5% saved)

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`egg-rr`
38×	`egg-rr`

Counts

2 → 84

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))

Inputs

(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))

(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))

Outputs
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Outputs

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(fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))) (+.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3))))))

simplify1.4s (5.1%)

Algorithm

1×

egglog

Counts

193 → 141

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) v) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (pow.f64 (/.f64 cosTheta_O v) 3) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(+.f64 (.f64 cosTheta_O (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_i))
(+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 sinTheta_i 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_O v)) 2)))) (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_i)))
(+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 sinTheta_i 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_O v)) 2)))) (+.f64 (.f64 1/6 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 (.f64 -1 (/.f64 sinTheta_O v)) 3) (pow.f64 sinTheta_i 3)))) (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_i))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(+.f64 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_O) (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))
(+.f64 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_O) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 sinTheta_O 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_i v)) 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) sinTheta_O) (+.f64 (.f64 1/6 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 (.f64 -1 (/.f64 sinTheta_i v)) 3) (pow.f64 sinTheta_O 3)))) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (.f64 (pow.f64 sinTheta_O 2) (pow.f64 (*.f64 -1 (/.f64 sinTheta_i v)) 2)))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (.f64 -1 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))
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(/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O)) 1) v)
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(-.f64 (+.f64 (.f64 -1 (log.f64 v)) (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 (log.f64 1/2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (/.f64 1 v))
(-.f64 (+.f64 (.f64 -1 (log.f64 v)) (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 (log.f64 1/2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (/.f64 1 v))
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(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) 2) 1/2)
(neg.f64 (neg.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) 2))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3)))
(fabs.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3) 1/3))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(fma.f64 1 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (log.f64 (/.f64 1/2 v)))
(fma.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (/.f64 1 v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(fma.f64 -1 (neg.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(fma.f64 (log.f64 (/.f64 1/2 v)) 1 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(fma.f64 (cbrt.f64 (/.f64 1 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (cbrt.f64 (*.f64 v v))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) 2)) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (-.f64 (+.f64 1 (.f64 sinTheta_i sinTheta_O)) (.f64 cosTheta_i cosTheta_O)) (/.f64 -1 v) (log.f64 (/.f64 1/2 v)))
(fma.f64 -1 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (neg.f64 v)) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 1 (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 1 v) (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (log.f64 (/.f64 1/2 v)))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3)) (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 0) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3)) (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 0) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3)) (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 0) (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) -1)) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))
(-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (neg.f64 v)))
(*.f64 -1 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(*.f64 1 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(*.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) -1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (cbrt.f64 (/.f64 (.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (/.f64 (.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))) (+.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(neg.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3))

Outputs
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(*.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2)
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) v) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))
(fma.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 v))) (/.f64 1/2 v)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v)))
(+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))
(.f64 (+.f64 cosTheta_i 1) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 cosTheta_i cosTheta_i)) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v)))) (.f64 (+.f64 cosTheta_i 1) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (pow.f64 (/.f64 cosTheta_O v) 3) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (pow.f64 cosTheta_i 2) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))) (+.f64 (.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))))
(fma.f64 (.f64 1/6 (pow.f64 cosTheta_i 3)) (.f64 (pow.f64 (/.f64 cosTheta_O v) 3) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v)))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 cosTheta_i cosTheta_i)) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v)))) (.f64 (+.f64 cosTheta_i 1) (exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (/.f64 -1 v))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
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(if (!=.f64 (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (log.f64 (/.f64 1/2 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
(if (!=.f64 (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 0) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3)) (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(if (!=.f64 (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (-.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
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(if (!=.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)) 0) (/.f64 2 (/.f64 2 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v)))
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(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (neg.f64 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 -1 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 1 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) -1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 2)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (cbrt.f64 (/.f64 (.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
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(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (/.f64 (.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1))) v)))) (+.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) 3)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3) 1/3)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(neg.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v)) 3))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 (fma.f64 sinTheta_i sinTheta_O 1))) v))

localize74.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)

✓

0.0b

(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))

✓

0.0b

(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 102 to 52 computations (49% saved)

series147.0ms (0.6%)

Counts

3 → 169

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	cosTheta_i	@	inf	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	cosTheta_i	@	0	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	v	@	-inf	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	cosTheta_O	@	0	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	sinTheta_i	@	0	(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 21390 to 11690 computations (45.3% saved)

rewrite173.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

81×	`egg-rr`
58×	`egg-rr`
27×	`egg-rr`

Counts

3 → 166

Calls

Call 1

Inputs

(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))

(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))

(+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)

Outputs

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sinTheta_O) -1)) (neg.f64 v)) -6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))))

simplify726.0ms (2.7%)

Algorithm

1×

egglog

Counts

335 → 257

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
(+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i))
(+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)))) (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i)))
(+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (+.f64 (.f64 1/6 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (pow.f64 cosTheta_i 3) (pow.f64 (/.f64 cosTheta_O v) 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)))) (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i))))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 3) 36911618591269576715823706172806771/1000000000000000000000000000000000000) (.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 2) 110860132438012536505081/1000000000000000000000000) (pow.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (/.f64 6931/10000 v)) 3))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) 1) (.f64 (neg.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 3) 36911618591269576715823706172806771/1000000000000000000000000000000000000) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 2) 110860132438012536505081/1000000000000000000000000) (pow.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (/.f64 6931/10000 v)) 3)) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (neg.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) 1) (neg.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3) 1/3)
(pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 1)
(neg.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (neg.f64 v)) -6931/10000))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))

Outputs
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
(+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i))
(+.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i))
(+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)))) (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i)))
(+.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (fma.f64 1/2 (.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 cosTheta_i cosTheta_i))) (.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v))) cosTheta_i)))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (/.f64 1 v)))
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(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))))
(exp.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 3) 36911618591269576715823706172806771/1000000000000000000000000000000000000) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 2) 110860132438012536505081/1000000000000000000000000) (pow.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (/.f64 6931/10000 v)) 3)) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 3) 36911618591269576715823706172806771/1000000000000000000000000000000000000) (.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 2) 110860132438012536505081/1000000000000000000000000) (pow.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (/.f64 6931/10000 v)) 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (neg.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2) (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) 1) (neg.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000) (+.f64 48038761/100000000 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 2) (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 3) 332956652491/1000000000000))) (cbrt.f64 (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) -6931/10000)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)) 3)
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3) 1/3)
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)
(pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 1)
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)
(neg.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) (neg.f64 v)) -6931/10000))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000)

eval1.1s (4%)

Compiler: Compiled 41880 to 27594 computations (34.1% saved)

prune304.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1080	9	1089
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1084	9	1093

Error

0.0b

Counts

1093 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (E.f64) (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
▶	5.5b	(/.f64 (/.f64 (exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
▶	0.0b	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
▶	0.0b	(.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (exp.f64 6931/10000))
▶	0.4b	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
	0.0b	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
▶	44.3b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
	33.5b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (+.f64 (.f64 3 (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))) (log.f64 (/.f64 1/2 v))))))
	59.0b	(cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))

Compiler

Compiled 444 to 352 computations (20.7% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
✓	0.0b	(-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))
✓	0.0b	(exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))))
✓	0.0b	(fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))

Compiler

Compiled 79 to 48 computations (39.2% saved)

series157.0ms (0.6%)

Counts

4 → 83

Calls

36 calls:

Time	Variable		Point	Expression
15.0ms	v	@	inf	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
3.0ms	v	@	-inf	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
2.0ms	v	@	-inf	(exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))))
2.0ms	cosTheta_i	@	0	(fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))
2.0ms	cosTheta_i	@	0	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))

Compiler

Compiled 13040 to 9445 computations (27.6% saved)

rewrite281.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

156×	`egg-rr`
78×	`egg-rr`
66×	`egg-rr`
35×	`egg-rr`

Counts

4 → 335

Calls

Call 1

Inputs
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))
(exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))))
(-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 1/2 v)) 1 (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 1 (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v)) (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2)) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 cosTheta_i v) cosTheta_O (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 cosTheta_O) (.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_O)) (/.f64 cosTheta_i v)) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 cosTheta_O (cbrt.f64 (/.f64 cosTheta_i v))) (cbrt.f64 (pow.f64 (/.f64 cosTheta_i v) 2)) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (log.f64 (/.f64 1/2 v)))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) (.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) (.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_O cosTheta_i) v))))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_O 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simplify1.2s (4.5%)

Algorithm

1×

egglog

Counts

418 → 527

Calls

Call 1

Inputs
(log.f64 (/.f64 1/2 v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
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(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))
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Outputs
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(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
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(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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(log.f64 (/.f64 1/2 v))
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(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))) (pow.f64 (cbrt.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))) 2)
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (-.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))) 6931/10000)) -1)
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 1)
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 6931/10000)) (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (.f64 (/.f64 (neg.f64 (exp.f64 6931/10000)) (exp.f64 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 1))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (.f64 -1 (exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (.f64 (exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) -1))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (/.f64 -1 (exp.f64 (-.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))) 6931/10000))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(cbrt.f64 (exp.f64 (.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))) 3)))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))) 0))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 0 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (.f64 (-.f64 (-.f64 (/.f64 (-.f64 1 (.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))) 6931/10000) -1))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (.f64 (.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))) 3) 1/3))
(exp.f64 (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
	19.1b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series23.0ms (0.1%)

Counts

1 → 14

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
1.0ms	cosTheta_i	@	0	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
1.0ms	cosTheta_O	@	0	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
1.0ms	cosTheta_i	@	inf	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
1.0ms	cosTheta_O	@	inf	(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))

Compiler

Compiled 1680 to 1295 computations (22.9% saved)

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

63× egg-rr

Counts

1 → 63

Calls

Call 1

Inputs
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 0) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 2) 0) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 2))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (*.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 (neg.f64 (exp.f64 (/.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (*.f64 (exp.f64 (/.f64 -1 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (neg.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))) (cbrt.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))) (cbrt.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (sqrt.f64 (exp.f64 (/.f64 1 v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (/.f64 (*.f64 (*.f64 cosTheta_i cosTheta_O) v) (*.f64 v v))) (exp.f64 (/.f64 v (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 1) (*.f64 (neg.f64 (exp.f64 (/.f64 1 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (*.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 cosTheta_i cosTheta_O -1)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 1 v)) (fma.f64 cosTheta_i cosTheta_O -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 v (fma.f64 cosTheta_i cosTheta_O -1))) (/.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (neg.f64 (exp.f64 (/.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v) 1/3))))))

simplify526.0ms (2%)

Algorithm

1×

egglog

Counts

77 → 88

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (/.f64 1 v)))
(+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 cosTheta_i (exp.f64 (neg.f64 (/.f64 1 v)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_i 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 (/.f64 cosTheta_O v) 3)))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 cosTheta_i (exp.f64 (neg.f64 (/.f64 1 v)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (*.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_i 2)))))))
(exp.f64 (neg.f64 (/.f64 1 v)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (neg.f64 (/.f64 1 v)))))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) cosTheta_O)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (neg.f64 (/.f64 1 v)))))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_O 3)))) (*.f64 (exp.f64 (neg.f64 (/.f64 1 v))) cosTheta_O))))
1
(+.f64 1 (/.f64 1 v))
(+.f64 1 (+.f64 (/.f64 1 v) (.f64 1/2 (.f64 (pow.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) 2) (pow.f64 (/.f64 1 v) 2)))))
(+.f64 1 (+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (-.f64 (.f64 cosTheta_i cosTheta_O) 1) 3))) (.f64 1/2 (.f64 (pow.f64 (-.f64 (.f64 cosTheta_i cosTheta_O) 1) 2) (pow.f64 (/.f64 1 v) 2))))))
1
(-.f64 1 (/.f64 1 v))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 v) 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 2)))) (/.f64 1 v))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 3))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 v) 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 2))))) (/.f64 1 v))
(if (!=.f64 -1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 0) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 2) 0) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 2))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(.f64 (.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1) -1)
(.f64 -1 (.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(.f64 (.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (*.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))
(.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 (neg.f64 (exp.f64 (/.f64 1 v)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(*.f64 1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 -1 v)))
(.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (*.f64 (exp.f64 (/.f64 -1 v)) 1))
(/.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (sqrt.f64 (exp.f64 (/.f64 1 v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2))
(/.f64 -1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))
(/.f64 (exp.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 v v))) (exp.f64 (/.f64 v (.f64 v v))))
(/.f64 (.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 1) (*.f64 (neg.f64 (exp.f64 (/.f64 1 v))) 1))
(/.f64 -1 (neg.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 1 v)))
(/.f64 1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(/.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(/.f64 1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))
(/.f64 1 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 3)
(pow.f64 (E.f64) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 2)
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (*.f64 2 1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(pow.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(pow.f64 (exp.f64 (fma.f64 cosTheta_i cosTheta_O -1)) (/.f64 1 v))
(pow.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1)
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (/.f64 2 2))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2) 1/2)
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2)))
(pow.f64 (exp.f64 (/.f64 1 v)) (fma.f64 cosTheta_i cosTheta_O -1))
(pow.f64 (exp.f64 (.f64 v (fma.f64 cosTheta_i cosTheta_O -1))) (/.f64 1 (.f64 v v)))
(neg.f64 (*.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))
(neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (neg.f64 (exp.f64 (/.f64 1 v)))))
(neg.f64 (/.f64 -1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))
(cbrt.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)))
(fabs.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(exp.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 0))
(exp.f64 (.f64 (/.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v) 1/3))

Outputs
(exp.f64 (neg.f64 (/.f64 1 v)))
(exp.f64 (/.f64 -1 v))
(+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 cosTheta_i (exp.f64 (neg.f64 (/.f64 1 v)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_i 2))))))
(+.f64 (.f64 (exp.f64 (/.f64 -1 v)) (+.f64 1 cosTheta_i)) (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (exp.f64 (/.f64 -1 v)) (.f64 cosTheta_i cosTheta_i))) 2))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 (/.f64 cosTheta_O v) 3)))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 cosTheta_i (exp.f64 (neg.f64 (/.f64 1 v)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (*.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_i 2)))))))
(fma.f64 1/6 (pow.f64 (.f64 cosTheta_i (.f64 (/.f64 cosTheta_O v) (cbrt.f64 (exp.f64 (/.f64 -1 v))))) 3) (+.f64 (.f64 (exp.f64 (/.f64 -1 v)) (+.f64 1 cosTheta_i)) (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (.f64 (exp.f64 (/.f64 -1 v)) (.f64 cosTheta_i cosTheta_i))) 2)))
(exp.f64 (neg.f64 (/.f64 1 v)))
(exp.f64 (/.f64 -1 v))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (neg.f64 (/.f64 1 v)))))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) cosTheta_O)))
(fma.f64 1/2 (.f64 (.f64 (.f64 cosTheta_O cosTheta_O) (pow.f64 (/.f64 cosTheta_i v) 2)) (exp.f64 (/.f64 -1 v))) (.f64 (exp.f64 (/.f64 -1 v)) (+.f64 1 cosTheta_O)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (pow.f64 (/.f64 cosTheta_i v) 2) (exp.f64 (neg.f64 (/.f64 1 v)))))) (+.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (.f64 (exp.f64 (neg.f64 (/.f64 1 v))) (pow.f64 cosTheta_O 3)))) (*.f64 (exp.f64 (neg.f64 (/.f64 1 v))) cosTheta_O))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (.f64 cosTheta_O cosTheta_O) (pow.f64 (/.f64 cosTheta_i v) 2)) (exp.f64 (/.f64 -1 v))) (.f64 (exp.f64 (/.f64 -1 v)) (+.f64 1 cosTheta_O))) (.f64 1/6 (pow.f64 (.f64 (*.f64 cosTheta_O (cbrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 cosTheta_i v)) 3)))
1
(+.f64 1 (/.f64 1 v))
(/.f64 (+.f64 v 1) v)
(+.f64 1 (+.f64 (/.f64 1 v) (.f64 1/2 (.f64 (pow.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) 2) (pow.f64 (/.f64 1 v) 2)))))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) 1) (/.f64 1 v))
(+.f64 1 (+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (-.f64 (.f64 cosTheta_i cosTheta_O) 1) 3))) (.f64 1/2 (.f64 (pow.f64 (-.f64 (.f64 cosTheta_i cosTheta_O) 1) 2) (pow.f64 (/.f64 1 v) 2))))))
(+.f64 (/.f64 (+.f64 v 1) v) (fma.f64 1/6 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3) (*.f64 1/2 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2))))
1
(-.f64 1 (/.f64 1 v))
(/.f64 (+.f64 v -1) v)
(-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 v) 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 2)))) (/.f64 1 v))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) 1) (/.f64 -1 v))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 3))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 v) 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 cosTheta_i cosTheta_O))) 2))))) (/.f64 1 v))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3) (*.f64 1/2 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2))) (/.f64 (+.f64 v -1) v))
(if (!=.f64 -1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 1 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 0) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (sqrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 2) 0) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (exp.f64 (/.f64 1 v)) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) 2))) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1) -1)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 -1 (.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (*.f64 -1 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 (neg.f64 (exp.f64 (/.f64 1 v)))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (*.f64 (exp.f64 (/.f64 -1 v)) 1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (neg.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (neg.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (sqrt.f64 (exp.f64 (/.f64 -1 v))))
(/.f64 (.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (sqrt.f64 (exp.f64 (/.f64 -1 v))))
(/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (sqrt.f64 (exp.f64 (/.f64 1 v)))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 -1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (exp.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 v v))) (exp.f64 (/.f64 v (.f64 v v))))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
(/.f64 (.f64 (neg.f64 (exp.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) 1) (*.f64 (neg.f64 (exp.f64 (/.f64 1 v))) 1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 -1 (neg.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (exp.f64 (/.f64 1 v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 1 (/.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(/.f64 1 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 3)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (E.f64) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)) 1/3)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 2)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (*.f64 2 1/2))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (fma.f64 cosTheta_i cosTheta_O -1)) (/.f64 1 v))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) -1)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (/.f64 2 2))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2) 1/2)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (/.f64 1 v)) (fma.f64 cosTheta_i cosTheta_O -1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (exp.f64 (.f64 v (fma.f64 cosTheta_i cosTheta_O -1))) (/.f64 1 (.f64 v v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(neg.f64 (*.f64 -1 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) -1))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (neg.f64 (exp.f64 (/.f64 1 v)))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(neg.f64 (/.f64 -1 (exp.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(cbrt.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(fabs.f64 (exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(exp.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 0))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(exp.f64 (.f64 (/.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O -1) 3) v) 1/3))
(exp.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
✓	0.0b	(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
✓	0.0b	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
	19.1b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 88 to 49 computations (44.3% saved)

series96.0ms (0.4%)

Counts

3 → 38

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	v	@	inf	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	cosTheta_i	@	0	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	cosTheta_O	@	0	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
0.0ms	cosTheta_i	@	inf	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))

Compiler

Compiled 4770 to 3315 computations (30.5% saved)

rewrite148.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
72×	`egg-rr`
41×	`egg-rr`

Counts

3 → 205

Calls

Call 1

Inputs

(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))

(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))

(-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))

Outputs

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simplify526.0ms (2%)

Algorithm

1×

egglog

Counts

243 → 273

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) v) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))
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Outputs
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(if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))) (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 2)) (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 -1 v) 3)) (+.f64 (/.f64 1 (*.f64 v v)) (-.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 2) (/.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (neg.f64 v))))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(if (!=.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 -1 v) 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 v v)) (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 2)) (/.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (neg.f64 v)))) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(+.f64 (/.f64 -1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(+.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))
(+.f64 (-.f64 0 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 1)) v) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 1))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)))
(+.f64 (/.f64 -1 v) (*.f64 (neg.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))) -1))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(+.f64 0 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
(-.f64 0 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(-.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 1 v))
(-.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
(-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v))))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O (neg.f64 1)) v) (log.f64 (/.f64 1/2 v)))
(-.f64 (/.f64 -1 v) (neg.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(*.f64 -1 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) -1)
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)))
(neg.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) 2)) (+.f64 (cbrt.f64 (/.f64 1 (.f64 v v))) (cbrt.f64 (/.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))) v)))) (-.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (/.f64 1 v))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 1 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(*.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))))
(neg.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 2))))
(/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 3) 1/3)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 3)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 1)
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(neg.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(neg.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 0))
(-.f64 (log.f64 (/.f64 1/2 v)) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 3))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
	5.7b	(exp.f64 (log.f64 (/.f64 1/2 v)))
	19.1b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
✓	43.6b	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))

Compiler

Compiled 132 to 81 computations (38.6% saved)

series91.0ms (0.3%)

Counts

2 → 66

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	cosTheta_i	@	0	(.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
1.0ms	v	@	inf	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))
1.0ms	v	@	-inf	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))
1.0ms	cosTheta_i	@	0	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))
1.0ms	cosTheta_O	@	0	(.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))

Compiler

Compiled 10750 to 8285 computations (22.9% saved)

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

67×	`egg-rr`
49×	`egg-rr`

Counts

2 → 116

Calls

Call 1

Inputs

(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (*.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))))

(*.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))

Outputs

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1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 -6931/10000 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (+.f64 -6931/10000 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 3))))))

simplify329.0ms (1.2%)

Algorithm

1×

egglog

Counts

182 → 186

Calls

Call 1

Inputs
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 20793/10000) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))))
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(neg.f64 (.f64 (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) -1))
(cbrt.f64 (pow.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 3))

Outputs
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) (fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000))))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) (fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000))))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 v)) (log.f64 1/2))) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) (fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000))))
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(.f64 (exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 1/2)) (fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000))))
(.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) 2) (.f64 (exp.f64 20793/10000) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))))
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(/.f64 (.f64 3 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3)) (neg.f64 v) (fma.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000))) (.f64 (fma.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000) (neg.f64 v)))
(/.f64 (.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3)) v (neg.f64 (fma.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000))) 3) (.f64 (fma.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000) v))
(/.f64 (.f64 3 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3)) v (neg.f64 (fma.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000)))) (.f64 (fma.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 48038761/100000000) v))
(/.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 1)
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(/.f64 (+.f64 (pow.f64 20793/10000 3) (pow.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v) 3)) (+.f64 (.f64 20793/10000 20793/10000) (-.f64 (.f64 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v) (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) (.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)))))
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(/.f64 (.f64 3 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 3))) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) (-.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f64 (.f64 3 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 3))) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) (+.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) -6931/10000))))
(/.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 3)) 3) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) (-.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f64 (.f64 3 (+.f64 332956652491/1000000000000 (pow.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 3))) (+.f64 48038761/100000000 (.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) (+.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) -6931/10000))))
(pow.f64 (pow.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 3) 1/3)
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(pow.f64 (cbrt.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))) 3)
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(pow.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 1)
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(neg.f64 (*.f64 (+.f64 -6931/10000 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v))) 3))
(*.f64 -3 (-.f64 -6931/10000 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)))
(neg.f64 (.f64 -1 (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))))
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(neg.f64 (.f64 (.f64 (+.f64 -6931/10000 (neg.f64 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v))) 3) 1))
(*.f64 -3 (-.f64 -6931/10000 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)))
(neg.f64 (.f64 (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) -1))
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)
(cbrt.f64 (pow.f64 (+.f64 20793/10000 (/.f64 (*.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v)) 3))
(fma.f64 3 (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v) 20793/10000)

localize132.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (E.f64) (/.f64 1/2 v))
✓	0.0b	(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
✓	0.2b	(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
✓	4.9b	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 97 to 58 computations (40.2% saved)

series137.0ms (0.5%)

Counts

4 → 109

Calls

30 calls:

Time	Variable		Point	Expression
16.0ms	cosTheta_O	@	0	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	v	@	-inf	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	v	@	inf	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	cosTheta_i	@	0	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))
1.0ms	cosTheta_O	@	inf	(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 7670 to 4845 computations (36.8% saved)

rewrite169.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

48×	`egg-rr`
41×	`egg-rr`
38×	`egg-rr`
27×	`egg-rr`

Counts

4 → 154

Calls

Call 1

Inputs
(exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(pow.f64 (E.f64) (/.f64 1/2 v))

Outputs
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simplify418.0ms (1.6%)

Algorithm

1×

egglog

Counts

263 → 224

Calls

Call 1

Inputs
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (+.f64 (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O) (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (/.f64 cosTheta_i v) 2))))))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (+.f64 (.f64 1/6 (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (pow.f64 cosTheta_O 3)))) (+.f64 (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O) (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (/.f64 cosTheta_i v) 2)))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_i))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
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(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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Outputs
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (+.f64 (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O) (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (/.f64 cosTheta_i v) 2))))))
(+.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (fma.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) cosTheta_O (.f64 1/2 (.f64 (.f64 cosTheta_O cosTheta_O) (.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (/.f64 cosTheta_i v) 2))))))
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(fma.f64 (cbrt.f64 cosTheta_O) (.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_O)) (/.f64 cosTheta_i v)) 6931/10000)
(fma.f64 1 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) 6931/10000)
(+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 (*.f64 cosTheta_O cosTheta_i) (/.f64 1 v) 6931/10000)
(+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (*.f64 cosTheta_O cosTheta_i) 6931/10000) v)) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) 6931/10000) v)) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 6931/10000 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (neg.f64 6931/10000)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (neg.f64 6931/10000))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) -6931/10000)) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (-.f64 6931/10000 (/.f64 (.f64 cosTheta_O cosTheta_i) v)) 0) (/.f64 (-.f64 48038761/100000000 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2)) (-.f64 6931/10000 (/.f64 (*.f64 cosTheta_O cosTheta_i) v))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (-.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 0) (/.f64 (-.f64 48038761/100000000 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (-.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (+.f64 48038761/100000000 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) (/.f64 (.f64 (*.f64 cosTheta_O cosTheta_i) 6931/10000) v))) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) 6931/10000) v)) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(if (!=.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 0) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(+.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) 6931/10000)
(+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 6931/10000 (/.f64 (*.f64 cosTheta_O cosTheta_i) v))
(+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(*.f64 1 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(*.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 1)
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))) 2))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))) 2) 2) (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000))) 2) 2)) (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (*.f64 cosTheta_O cosTheta_i) 6931/10000) v))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(*.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)) (cbrt.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 2)))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 2)) (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(/.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 1)
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000) (+.f64 48038761/100000000 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) 6931/10000) v))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000) 1) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) 6931/10000) v)) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) 6931/10000) v))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) 6931/10000) v)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 3) 332956652491/1000000000000) 1) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2) 48038761/100000000) (/.f64 (.f64 (*.f64 cosTheta_O cosTheta_i) 6931/10000) v)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 332956652491/1000000000000) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 6931/10000) v)))
(pow.f64 (cbrt.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)) 3)
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 1)
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(pow.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 3) 1/3)
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(cbrt.f64 (pow.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) 3))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000)
(if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 1/2 v)) (exp.f64 (/.f64 1/2 v)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 2)))
(exp.f64 (/.f64 1/2 v))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (exp.f64 (/.f64 1/2 v))))
(exp.f64 (/.f64 1/2 v))
(*.f64 1 (exp.f64 (/.f64 1/2 v)))
(exp.f64 (/.f64 1/2 v))
(*.f64 (exp.f64 (/.f64 1/2 v)) 1)
(exp.f64 (/.f64 1/2 v))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2))
(exp.f64 (/.f64 1/2 v))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 2))))
(exp.f64 (/.f64 1/2 v))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2) 2) (cbrt.f64 (exp.f64 (/.f64 1/2 v)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v)))) 2) 2)) (cbrt.f64 (exp.f64 (/.f64 1/2 v))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 v))) (sqrt.f64 (exp.f64 (/.f64 1/2 v))))
(exp.f64 (/.f64 1/2 v))
(/.f64 (exp.f64 (/.f64 1/2 v)) 1)
(exp.f64 (/.f64 1/2 v))
(/.f64 1 (exp.f64 (/.f64 -1/2 v)))
(exp.f64 (neg.f64 (/.f64 -1/2 v)))
(/.f64 1 (pow.f64 (E.f64) (/.f64 -1/2 v)))
(pow.f64 (pow.f64 (E.f64) (/.f64 -1/2 v)) -1)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 v))) 3)
(exp.f64 (/.f64 1/2 v))
(pow.f64 (exp.f64 (/.f64 1/2 v)) 1)
(exp.f64 (/.f64 1/2 v))
(pow.f64 (E.f64) (/.f64 1/2 v))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 3) 1/3)
(exp.f64 (/.f64 1/2 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1/4 (*.f64 v v)))) (cbrt.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 v))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 v v))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1 v))) (cbrt.f64 (/.f64 1/8 (*.f64 v v))))
(pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) v))
(pow.f64 (exp.f64 -1/2) (/.f64 -1 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 1/4 (*.f64 v v))))
(pow.f64 (exp.f64 (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/4) v))
(pow.f64 (exp.f64 1/2) (/.f64 1 v))
(exp.f64 (/.f64 1/2 v))
(pow.f64 (exp.f64 (/.f64 1 v)) 1/2)
(exp.f64 (/.f64 1/2 v))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 v)) 3))
(exp.f64 (/.f64 1/2 v))
(exp.f64 (/.f64 1/2 v))

eval1.1s (4.2%)

Compiler: Compiled 56108 to 37894 computations (32.5% saved)

prune1.1s (4.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1689	9	1698
Fresh	2	2	4
Picked	1	0	1
Done	4	0	4
Total	1696	11	1707

Error

Counts

1707 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
	0.0b	(/.f64 (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
	41.0b	(/.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
▶	0.0b	(/.f64 (exp.f64 6931/10000) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2))
	0.0b	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
	0.4b	(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
▶	0.4b	(exp.f64 (/.f64 -1 v))
▶	0.0b	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
	33.5b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))))))
▶	59.0b	(cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))
	62.0b	1

Compiler

Compiled 448 to 366 computations (18.3% saved)

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))
✓	0.0b	(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)
✓	0.0b	(-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))
✓	0.0b	(exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 110 to 71 computations (35.5% saved)

series249.0ms (0.9%)

Counts

4 → 78

Calls

36 calls:

Time	Variable		Point	Expression
9.0ms	v	@	inf	(sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))
2.0ms	cosTheta_O	@	0	(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)
2.0ms	cosTheta_i	@	0	(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)
2.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)
2.0ms	v	@	inf	(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)

Compiler

Compiled 24880 to 18635 computations (25.1% saved)

rewrite237.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`egg-rr`
118×	`egg-rr`
113×	`egg-rr`
86×	`egg-rr`

Counts

4 → 435

Calls

Call 1

Inputs
(exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))
(-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2)
(sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v)))))

Outputs
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simplify2.0s (7.6%)

Algorithm

1×

egglog

Counts

513 → 450

Calls

Call 1

Inputs
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Outputs
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(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2))
(exp.f64 (+.f64 0 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2))
(exp.f64 (+.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2) 0))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2))
(exp.f64 (*.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2) 1))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (fma.f64 cosTheta_O cosTheta_i -1) v)) -2))

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 -1 v))

Compiler

Compiled 14 to 11 computations (21.4% saved)

series6.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(exp.f64 (/.f64 -1 v))
1.0ms	v	@	inf	(exp.f64 (/.f64 -1 v))
0.0ms	v	@	0	(exp.f64 (/.f64 -1 v))

Compiler

Compiled 430 to 370 computations (14% saved)

rewrite168.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

156× egg-rr

Counts

1 → 156

Calls

Call 1

Inputs
(exp.f64 (/.f64 -1 v))

Outputs

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simplify255.0ms (1%)

Algorithm

1×

egglog

Counts

164 → 199

Calls

Call 1

Inputs
1
(-.f64 1 (/.f64 1 v))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 1 v) 2))) (/.f64 1 v))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 1 v) 2)))) (/.f64 1 v))
1
(-.f64 1 (/.f64 1 v))
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(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 v) 2)) (.f64 1/6 (pow.f64 (/.f64 -1 v) 3)))) (/.f64 1 v))
(fma.f64 1 0 (exp.f64 (/.f64 -1 v)))
(fma.f64 0 1 (exp.f64 (/.f64 -1 v)))
(fma.f64 0 0 (exp.f64 (/.f64 -1 v)))
(fma.f64 0 -1 (exp.f64 (/.f64 -1 v)))
(fma.f64 0 3 (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (exp.f64 (/.f64 -1 v)) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 1 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (exp.f64 -1) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 -1 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
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(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v)))) (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -1 v))))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v)))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (cbrt.f64 (.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3) (exp.f64 (/.f64 -1 v)))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v)))) (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -2 v))))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 (exp.f64 (/.f64 -2 v))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (cbrt.f64 (exp.f64 (/.f64 -1 v))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (exp.f64 (/.f64 -3 v))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)))
(*.f64 -1 (neg.f64 (exp.f64 (/.f64 -1 v))))
(*.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) -1)
(*.f64 1 (exp.f64 (/.f64 -1 v)))
(*.f64 (exp.f64 (/.f64 -1 v)) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -1 v))))))
(.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -2 v))))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3) (exp.f64 (/.f64 -1 v)))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)) (cbrt.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (exp.f64 (/.f64 -3 v))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v))))))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))))
(.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))))
(.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(*.f64 (/.f64 (exp.f64 (/.f64 -1 v)) 2) 2)
(*.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))))
(*.f64 (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))) (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))) (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (*.f64 (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))) (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))))) (fabs.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3) (exp.f64 (/.f64 -1 v))))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (cbrt.f64 (exp.f64 (/.f64 -1 v))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v))))) (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -1 v)))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))))) (fabs.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -2 v)))))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (exp.f64 (/.f64 -3 v)))))) (fabs.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (fabs.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v))))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (fabs.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (fabs.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v))))))
(*.f64 (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -2 v)))) (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (cbrt.f64 (neg.f64 (.f64 (exp.f64 (/.f64 -2 v)) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))))
(.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (cbrt.f64 (neg.f64 (.f64 (exp.f64 (/.f64 -2 v)) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))))
(/.f64 -1 (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(/.f64 1 (*.f64 -1 (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 1 (fabs.f64 (exp.f64 (/.f64 1 v))))
(/.f64 1 (fabs.f64 (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 (exp.f64 (/.f64 0 v)) (exp.f64 (/.f64 1 v)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (exp.f64 (/.f64 1 v)))) (exp.f64 (/.f64 1 v))) (.f64 (exp.f64 (/.f64 1 v)) (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 (-.f64 (*.f64 0 (exp.f64 (/.f64 1 v))) (neg.f64 (exp.f64 (/.f64 1 v)))) (pow.f64 (exp.f64 (/.f64 -1 v)) -2))
(/.f64 (-.f64 0 (*.f64 (exp.f64 (/.f64 1 v)) (neg.f64 (exp.f64 (/.f64 -1 v))))) (exp.f64 (/.f64 1 v)))
(/.f64 (-.f64 0 (*.f64 (exp.f64 (/.f64 1 v)) (exp.f64 (/.f64 -1 v)))) (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (-.f64 (*.f64 0 (neg.f64 (exp.f64 (/.f64 1 v)))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (-.f64 (*.f64 0 (exp.f64 (/.f64 1 v))) -1) (exp.f64 (/.f64 1 v)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (exp.f64 (/.f64 1 v)))) -1) (.f64 -1 (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 (-.f64 (*.f64 0 (exp.f64 (/.f64 1 v))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (exp.f64 (/.f64 1 v)))) 2) (.f64 2 (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 (-.f64 (.f64 0 (exp.f64 (/.f64 1 v))) -2) (.f64 2 (exp.f64 (/.f64 1 v))))
(/.f64 (-.f64 0 (*.f64 2 (neg.f64 (exp.f64 (/.f64 -1 v))))) 2)
(/.f64 (-.f64 0 (*.f64 2 (exp.f64 (/.f64 -1 v)))) -2)
(/.f64 (-.f64 (.f64 0 (neg.f64 (exp.f64 (/.f64 1 v)))) 3) (.f64 3 (neg.f64 (exp.f64 (/.f64 1 v)))))
(/.f64 (-.f64 (.f64 0 (exp.f64 (/.f64 1 v))) -3) (.f64 3 (exp.f64 (/.f64 1 v))))
(/.f64 (-.f64 0 (*.f64 3 (exp.f64 (/.f64 -1 v)))) -3)
(/.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) -1)
(/.f64 (exp.f64 (/.f64 -1 v)) 1)
(/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 -1 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (pow.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(/.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (/.f64 -1 (cbrt.f64 (exp.f64 (/.f64 -1 v)))))
(/.f64 2 (/.f64 (exp.f64 (/.f64 1 v)) 1/2))
(/.f64 (-.f64 0 (*.f64 3 (neg.f64 (exp.f64 (/.f64 -1 v))))) 3)
(/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) 3)
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (cbrt.f64 (/.f64 1 (*.f64 v v))))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1 (*.f64 v v)))) (cbrt.f64 (/.f64 -1 v)))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1 v))) (cbrt.f64 (/.f64 -1 (*.f64 v v))))
(pow.f64 (exp.f64 (/.f64 -2 v)) 1/2)
(pow.f64 (exp.f64 -1) (/.f64 1 v))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) 2)
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 2)
(pow.f64 (exp.f64 (/.f64 1 v)) -1)
(pow.f64 (exp.f64 (/.f64 -1 v)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (.f64 2 (cbrt.f64 (/.f64 (/.f64 1 (.f64 v v)) 8))))
(pow.f64 (exp.f64 (/.f64 -3 v)) (*.f64 2 1/6))
(pow.f64 (E.f64) (*.f64 2 (/.f64 (/.f64 -1 v) 2)))
(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 4)
(pow.f64 (exp.f64 -1) (*.f64 2 (/.f64 (/.f64 -1 v) -2)))
(pow.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 -1 (.f64 v v)) (cbrt.f64 v))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (cbrt.f64 (/.f64 -1 v)) v))) (cbrt.f64 (/.f64 (/.f64 1 v) (cbrt.f64 (*.f64 v v)))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 -1 v) (cbrt.f64 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 1 v) (cbrt.f64 v))))
(pow.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 v)))) (cbrt.f64 (/.f64 (/.f64 1 v) (.f64 v (cbrt.f64 (.f64 v v))))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 -1 (.f64 v v)) (cbrt.f64 v)))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 v v)))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 (*.f64 v v)))) (cbrt.f64 (/.f64 1 v)))
(pow.f64 (exp.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 v) (cbrt.f64 v)) v)))
(pow.f64 (exp.f64 (/.f64 -3 v)) (/.f64 2/3 2))
(pow.f64 (E.f64) (/.f64 (/.f64 -2 v) 2))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (/.f64 (/.f64 2 (cbrt.f64 (*.f64 v v))) 2))
(neg.f64 (neg.f64 (exp.f64 (/.f64 -1 v))))
(sqrt.f64 (exp.f64 (/.f64 -2 v)))
(cbrt.f64 (exp.f64 (/.f64 -3 v)))
(fabs.f64 (exp.f64 (/.f64 -1 v)))
(fabs.f64 (neg.f64 (exp.f64 (/.f64 -1 v))))
(exp.f64 (/.f64 -1 v))
(exp.f64 (+.f64 (/.f64 (/.f64 -1 v) 2) (/.f64 (/.f64 -1 v) 2)))
(exp.f64 (+.f64 (/.f64 -1 v) 0))
(exp.f64 (-.f64 (/.f64 -1 v) 0))
(exp.f64 (*.f64 (/.f64 -2 v) 1/2))
(exp.f64 (*.f64 (/.f64 (/.f64 1 v) -3) 3))

Outputs
1
(-.f64 1 (/.f64 1 v))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 1 v) 2))) (/.f64 1 v))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 1 v) 2)))) (/.f64 1 v))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 1 v) 3) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 1 v) 2)))) (/.f64 1 v))
1
(-.f64 1 (/.f64 1 v))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 -1 v) 2))) (/.f64 1 v))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 v) 2)) (.f64 1/6 (pow.f64 (/.f64 -1 v) 3)))) (/.f64 1 v))
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 -1 v) 2) (*.f64 1/6 (pow.f64 (/.f64 -1 v) 3)))) (/.f64 1 v))
(fma.f64 1 0 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(fma.f64 0 1 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(fma.f64 0 0 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(fma.f64 0 -1 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(fma.f64 0 3 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(if (!=.f64 (exp.f64 (/.f64 -1 v)) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 1 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (E.f64) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (exp.f64 -1) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 -1 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) 0) (/.f64 (cbrt.f64 (neg.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 -1 (cbrt.f64 (exp.f64 (/.f64 -2 v))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (/.f64 -1 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) 0) (exp.f64 (/.f64 -1 v)) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) 0) (/.f64 (cbrt.f64 (*.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -1 v))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) 0) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (/.f64 1 (cbrt.f64 (exp.f64 (/.f64 -2 v))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -2 v))))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 1 (cbrt.f64 (.f64 (exp.f64 (/.f64 -2 v)) (cbrt.f64 (exp.f64 (/.f64 -2 v))))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 1 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 -1 (sqrt.f64 (exp.f64 (/.f64 -1 v))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3) (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3) (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v)))) (/.f64 1 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 1 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 1 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -3 v)))))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 (exp.f64 (/.f64 -2 v)) (exp.f64 (/.f64 -3 v))))) (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)))) (exp.f64 (/.f64 -1 v)))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2 v) (/.f64 -3 v))))) (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 v)) 2/3)))) (exp.f64 (/.f64 -1 v)))
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(exp.f64 (neg.f64 (/.f64 1 v)))
(/.f64 (-.f64 0 (*.f64 3 (neg.f64 (exp.f64 (/.f64 -1 v))))) 3)
(.f64 (neg.f64 (.f64 3 (exp.f64 (/.f64 -1 v)))) -1/3)
(/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 (exp.f64 (/.f64 1 v))))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) 3)
(exp.f64 (/.f64 -1 v))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (cbrt.f64 (/.f64 1 (*.f64 v v))))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 -3 v)))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1 (*.f64 v v)))) (cbrt.f64 (/.f64 -1 v)))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 1 v))) (cbrt.f64 (/.f64 -1 (*.f64 v v))))
(pow.f64 (exp.f64 (/.f64 -2 v)) 1/2)
(exp.f64 (/.f64 -1 v))
(pow.f64 (exp.f64 -1) (/.f64 1 v))
(exp.f64 (/.f64 -1 v))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) 2)
(exp.f64 (/.f64 -1 v))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 2)
(exp.f64 (/.f64 -1 v))
(pow.f64 (exp.f64 (/.f64 1 v)) -1)
(exp.f64 (neg.f64 (/.f64 1 v)))
(pow.f64 (exp.f64 (/.f64 -1 v)) 1)
(exp.f64 (/.f64 -1 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (.f64 2 (cbrt.f64 (/.f64 (/.f64 1 (.f64 v v)) 8))))
(pow.f64 (exp.f64 (/.f64 -3 v)) (*.f64 2 1/6))
(cbrt.f64 (exp.f64 (/.f64 -3 v)))
(pow.f64 (E.f64) (*.f64 2 (/.f64 (/.f64 -1 v) 2)))
(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) 4)
(exp.f64 (/.f64 -1 v))
(pow.f64 (exp.f64 -1) (*.f64 2 (/.f64 (/.f64 -1 v) -2)))
(pow.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 -1 (.f64 v v)) (cbrt.f64 v))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (cbrt.f64 (/.f64 -1 v)) v))) (cbrt.f64 (/.f64 (/.f64 1 v) (cbrt.f64 (*.f64 v v)))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 -1 v) (cbrt.f64 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 1 v) (cbrt.f64 v))))
(pow.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 v)))) (cbrt.f64 (/.f64 (/.f64 1 v) (.f64 v (cbrt.f64 (.f64 v v))))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 -1 (.f64 v v)) (cbrt.f64 v)))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 v v)))))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 (*.f64 v v)))) (cbrt.f64 (/.f64 1 v)))
(pow.f64 (exp.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 v) (cbrt.f64 v)) v)))
(pow.f64 (exp.f64 (/.f64 -3 v)) (/.f64 2/3 2))
(cbrt.f64 (exp.f64 (/.f64 -3 v)))
(pow.f64 (E.f64) (/.f64 (/.f64 -2 v) 2))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 -1 v))) (/.f64 (/.f64 2 (cbrt.f64 (*.f64 v v))) 2))
(neg.f64 (neg.f64 (exp.f64 (/.f64 -1 v))))
(exp.f64 (/.f64 -1 v))
(sqrt.f64 (exp.f64 (/.f64 -2 v)))
(exp.f64 (/.f64 -1 v))
(cbrt.f64 (exp.f64 (/.f64 -3 v)))
(fabs.f64 (exp.f64 (/.f64 -1 v)))
(fabs.f64 (neg.f64 (exp.f64 (/.f64 -1 v))))
(fabs.f64 (exp.f64 (/.f64 -1 v)))
(exp.f64 (/.f64 -1 v))
(exp.f64 (+.f64 (/.f64 (/.f64 -1 v) 2) (/.f64 (/.f64 -1 v) 2)))
(exp.f64 (*.f64 2 (/.f64 (/.f64 -1 v) 2)))
(exp.f64 (+.f64 (/.f64 -1 v) 0))
(exp.f64 (/.f64 -1 v))
(exp.f64 (-.f64 (/.f64 -1 v) 0))
(exp.f64 (/.f64 -1 v))
(exp.f64 (*.f64 (/.f64 -2 v) 1/2))
(exp.f64 (/.f64 -1 v))
(exp.f64 (*.f64 (/.f64 (/.f64 1 v) -3) 3))
(pow.f64 (exp.f64 (/.f64 (/.f64 1 v) -3)) 3)

localize34.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
✓	0.0b	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
	0.3b	(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series33.0ms (0.1%)

Counts

2 → 5

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
1.0ms	v	@	inf	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
0.0ms	v	@	0	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
0.0ms	v	@	0	(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
0.0ms	v	@	inf	(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))

Compiler

Compiled 2140 to 1865 computations (12.9% saved)

rewrite219.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

111×	`egg-rr`
85×	`egg-rr`

Counts

2 → 196

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))

Outputs

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simplify527.0ms (2%)

Algorithm

1×

egglog

Counts

201 → 236

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v)))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v)) (.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 v) 3) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))))))))
(/.f64 -1 v)
(if (!=.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 0) (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (exp.f64 (/.f64 1 v)) (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) 0) (/.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (exp.f64 (/.f64 1 v)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 6931/10000) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 1 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 -1 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
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(.f64 (.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) -1) -1)
(.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (exp.f64 (/.f64 -1 v))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) (exp.f64 (/.f64 -1 v))))
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(.f64 -1 (.f64 -1 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
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(.f64 (exp.f64 6931/10000) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))) 1))
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(*.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 1 (neg.f64 (exp.f64 (/.f64 1 v)))))
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(*.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1) (/.f64 (exp.f64 6931/10000) (exp.f64 (/.f64 1 v))))
(*.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (exp.f64 6931/10000) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
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(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(*.f64 (/.f64 1 (pow.f64 (E.f64) (/.f64 1/2 v))) (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))))
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(neg.f64 (-.f64 (/.f64 1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(neg.f64 (-.f64 (-.f64 (/.f64 1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 0))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)) 3))

Outputs
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v)))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v)))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (fma.f64 1/2 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2)) (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v)) (.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 v) 3) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (+.f64 (fma.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) (pow.f64 (/.f64 1 v) 2)) (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2)))) v))) (.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 v) 3) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))))))
(/.f64 -1 v)
(if (!=.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 0) (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (exp.f64 (/.f64 1 v)) (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) 0) (/.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (exp.f64 (/.f64 1 v)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 6931/10000) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 1 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 -1 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(if (!=.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 0) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 (.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) -1) -1)
(neg.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (exp.f64 (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) (exp.f64 (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (.f64 (exp.f64 6931/10000) (exp.f64 (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 -1 (.f64 -1 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(neg.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) 2) (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) 2)) (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(.f64 (exp.f64 6931/10000) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))) 1))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 (.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) -1) (*.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) -1))
(neg.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(.f64 (.f64 -1 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))))
(neg.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(*.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 1 (neg.f64 (exp.f64 (/.f64 1 v)))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v))) (/.f64 (exp.f64 6931/10000) (pow.f64 (E.f64) (/.f64 1/2 v))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (E.f64) (/.f64 1/2 v)) (pow.f64 (E.f64) (/.f64 1/2 v))))
(*.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1) (/.f64 (exp.f64 6931/10000) (exp.f64 (/.f64 1 v))))
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 (-.f64 6931/10000 (/.f64 1 v))))
(*.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (exp.f64 6931/10000) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 (-.f64 6931/10000 (/.f64 1 v))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 1) (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (exp.f64 (/.f64 1 v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (/.f64 1 (pow.f64 (E.f64) (/.f64 1/2 v))) (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (E.f64) (/.f64 1/2 v)) (pow.f64 (E.f64) (/.f64 1/2 v))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (pow.f64 (E.f64) (/.f64 1/2 v))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) (pow.f64 (E.f64) (/.f64 1/2 v))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (E.f64) (/.f64 1/2 v)) (pow.f64 (E.f64) (/.f64 1/2 v))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) (exp.f64 (/.f64 1 v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2)) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2))
(*.f64 (/.f64 (exp.f64 6931/10000) (pow.f64 (E.f64) (/.f64 1/2 v))) (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (*.f64 (pow.f64 (E.f64) (/.f64 1/2 v)) (pow.f64 (E.f64) (/.f64 1/2 v))))
(*.f64 (/.f64 (exp.f64 6931/10000) (cbrt.f64 (exp.f64 (/.f64 1 v)))) (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 v))) 2)))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 2)))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 6931/10000) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 (+.f64 6931/10000 (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 2)) (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 1 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 1)
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (exp.f64 (/.f64 -1 v)))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))) (exp.f64 6931/10000))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) 2))
(.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) 2) 2)))
(.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (exp.f64 (/.f64 -1 v)) 1))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(*.f64 (/.f64 (exp.f64 6931/10000) 1) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v))))
(exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))
(/.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (neg.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)))) (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))) (pow.f64 (E.f64) (/.f64 1/2 v)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) (pow.f64 (E.f64) (/.f64 1/2 v)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 2)) (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (cbrt.f64 (.f64 (exp.f64 (.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)) 2)) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (exp.f64 (/.f64 1 v))))
(/.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 1) (neg.f64 (exp.f64 (/.f64 1 v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (sqrt.f64 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))))) (pow.f64 (E.f64) (/.f64 1/2 v)))
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(/.f64 (+.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v)) (.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) v))
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(/.f64 (+.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000)) (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v)) (neg.f64 (.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) (neg.f64 v))))
(/.f64 (fma.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) v (neg.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000))) (*.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) (neg.f64 (neg.f64 v))))
(/.f64 (.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 3)) 1) (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 6931/10000))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 3)) (+.f64 48038761/100000000 (*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 -1 v)) 6931/10000))))
(pow.f64 (pow.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)) 3) 1/3)
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))) 3)
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(pow.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)) 1)
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))
(neg.f64 (-.f64 (/.f64 1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
(neg.f64 (-.f64 (-.f64 (/.f64 1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 0))
(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v)) 3))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 -1 v))

localize54.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))

✓

0.0b

(-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v))))

✓

0.0b

(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))

Compiler

Compiled 76 to 46 computations (39.5% saved)

series83.0ms (0.3%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))
1.0ms	cosTheta_i	@	0	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
1.0ms	v	@	-inf	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
1.0ms	v	@	inf	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
1.0ms	cosTheta_i	@	inf	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))

Compiler

Compiled 10200 to 6735 computations (34% saved)

rewrite249.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

110×	`egg-rr`
85×	`egg-rr`
35×	`egg-rr`

Counts

3 → 230

Calls

Call 1

Inputs

(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))

(-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v))))

(-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 3))))))

simplify854.0ms (3.2%)

Algorithm

1×

egglog

Counts

322 → 332

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))) (*.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(*.f64 1 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(*.f64 -1 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))
(*.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) -1)
(.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) 2)))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
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(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) 3)
(pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(neg.f64 (-.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(neg.f64 (-.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 0))
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(cbrt.f64 (pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 3))

Outputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(+.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))) (*.f64 cosTheta_i (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))))
(*.f64 (+.f64 cosTheta_i 1) (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v))))
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(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
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(+.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)) (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 1 v) (+.f64 (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (neg.f64 (log.f64 (/.f64 1/2 v)))))
(-.f64 (+.f64 (/.f64 1 v) (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 1 v) (-.f64 (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (+.f64 (/.f64 1 v) (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (log.f64 (/.f64 1/2 v)))
(+.f64 0 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 1 v))) (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) -1) (neg.f64 (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) -1))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (neg.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 1 v))) (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 1 v) (neg.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))))
(-.f64 (/.f64 1 v) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(-.f64 (/.f64 1 v) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(-.f64 0 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) 0) (log.f64 (/.f64 1/2 v)))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(-.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(-.f64 (-.f64 0 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 1 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(.f64 (.f64 -1 -1) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(*.f64 (neg.f64 -1) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(*.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(*.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(.f64 (+.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) 2) (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))) (-.f64 (cbrt.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(*.f64 1 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(*.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) -1)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) 2)))
(.f64 (cbrt.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) 2)))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(.f64 (.f64 -1 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(.f64 (.f64 -1 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) 2)) (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2)))
(neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 2))))
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(pow.f64 (cbrt.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))) 3)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 1)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(neg.f64 (-.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(-.f64 (/.f64 1 v) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(neg.f64 (-.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 0))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(neg.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))
(cbrt.f64 (pow.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))) 3))
(-.f64 (neg.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v)))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (/.f64 1/2 v)) 9)
✓	0.5b	(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))
✓	13.9b	(cbrt.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
✓	43.6b	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))

Compiler

Compiled 168 to 102 computations (39.3% saved)

series147.0ms (0.6%)

Counts

4 → 81

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
3.0ms	cosTheta_i	@	inf	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
2.0ms	sinTheta_O	@	inf	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
2.0ms	cosTheta_O	@	inf	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
2.0ms	sinTheta_i	@	inf	(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))

Compiler

Compiled 16690 to 12420 computations (25.6% saved)

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

51×	`egg-rr`
34×	`egg-rr`
33×	`egg-rr`
32×	`egg-rr`

Counts

4 → 150

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3)))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)

Outputs
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simplify426.0ms (1.6%)

Algorithm

1×

egglog

Counts

231 → 221

Calls

Call 1

Inputs
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(if (!=.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 0) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(*.f64 1 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3) (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)) -1)
(.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1))
(.f64 (.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)))
(.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))))
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 1) (exp.f64 (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)))
(/.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 1)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) -1))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 1)
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1/3)
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 2)
(neg.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)))
(neg.f64 (*.f64 1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))))
(neg.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) -1))
(cbrt.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3) 1))
(if (!=.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 0) (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))
(*.f64 1 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1)
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))
(*.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))) -1)
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 -1 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (*.f64 -1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1) (*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1))
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1) (*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1))
(*.f64 -1 (pow.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)) 3))
(.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3)) (exp.f64 (log.f64 (/.f64 1/2 v))))
(/.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) -1))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 2)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) 2)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2)))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 3)
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) (*.f64 2 1/2))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (*.f64 2 9/2))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 729 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2))) (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)))
(pow.f64 (exp.f64 -1) (neg.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(pow.f64 (exp.f64 3) (*.f64 3 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9))) (cbrt.f64 81))
(pow.f64 (exp.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) (/.f64 2 2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2) 1/2)
(neg.f64 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 3))
(fabs.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3) 3))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3) 1/3))
(if (!=.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 0) (/.f64 1 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) -1)) (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9))
(.f64 1 (.f64 (log.f64 (/.f64 1/2 v)) 9))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(.f64 (cbrt.f64 (.f64 729 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(.f64 -1 (neg.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (.f64 729 (log.f64 (/.f64 1/2 v)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9) (cbrt.f64 (log.f64 (/.f64 1/2 v))))
(.f64 (neg.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) -1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2) (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) 2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9)))
(.f64 -1 (.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 9))
(.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2)) (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(*.f64 9 (log.f64 (/.f64 1/2 v)))
(.f64 3 (.f64 3 (log.f64 (/.f64 1/2 v))))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3) 3)
(.f64 (.f64 3 (log.f64 (/.f64 1/2 v))) 3)
(.f64 3 (.f64 (log.f64 (/.f64 1/2 v)) 3))
(.f64 (cbrt.f64 81) (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)))
(.f64 (.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))) (cbrt.f64 9))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 81))) (pow.f64 (cbrt.f64 (cbrt.f64 81)) 2))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) 1) (cbrt.f64 81))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 9)) (cbrt.f64 9))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)) 3)
(neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3))

Outputs
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (*.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (*.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (*.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (exp.f64 (.f64 3 (+.f64 6931/10000 (+.f64 (/.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (pow.f64 (exp.f64 3) (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (.f64 cosTheta_i cosTheta_O)) v))) (*.f64 (pow.f64 v -3) (cbrt.f64 1/512)))
(.f64 (pow.f64 (/.f64 1 v) 3) (.f64 (cbrt.f64 1/512) (exp.f64 20793/10000)))
(+.f64 (.f64 (cbrt.f64 1/512) (.f64 (exp.f64 20793/10000) (pow.f64 (/.f64 1 v) 4))) (.f64 (pow.f64 (/.f64 1 v) 3) (.f64 (cbrt.f64 1/512) (exp.f64 20793/10000))))
(fma.f64 (cbrt.f64 1/512) (.f64 (exp.f64 20793/10000) (pow.f64 (/.f64 1 v) 4)) (.f64 (pow.f64 (/.f64 1 v) 3) (*.f64 (cbrt.f64 1/512) (exp.f64 20793/10000))))
(.f64 (pow.f64 (/.f64 -1 v) 3) (.f64 (cbrt.f64 -1/512) (exp.f64 20793/10000)))
(+.f64 (.f64 (pow.f64 (/.f64 -1 v) 3) (.f64 (cbrt.f64 -1/512) (exp.f64 20793/10000))) (.f64 (cbrt.f64 -1/512) (.f64 (pow.f64 (/.f64 -1 v) 4) (exp.f64 20793/10000))))
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(*.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))
(*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))) -1)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3))
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)))
(.f64 -1 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2)) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3)))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) (*.f64 -1 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) 2)
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1) (*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 1))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1) (*.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) -1))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2))) 2)
(*.f64 -1 (pow.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)) 3))
(neg.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3)) 3))
(.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))
(.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3)) (exp.f64 (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2/3))
(/.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) -1))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2)) 2)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (E.f64) (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 9/2) 2)
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2)))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) 3)
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) (*.f64 2 1/2))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (*.f64 2 9/2))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 729 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(exp.f64 (cbrt.f64 (.f64 (.f64 729 (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2))) (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 -1) (neg.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (exp.f64 3) (*.f64 3 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (/.f64 1/2 v)) 3))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9))) (cbrt.f64 81))
(pow.f64 (exp.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) (/.f64 2 2))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2) 1/2)
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))) 3))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(fabs.f64 (pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1/3) 3))
(pow.f64 (exp.f64 9) (log.f64 (/.f64 1/2 v)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) (*.f64 3 1/3)))
(if (!=.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 0) (/.f64 1 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) -1)) (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(if (!=.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 0) (pow.f64 (/.f64 1 (.f64 (log.f64 (/.f64 1/2 v)) 9)) -1) (*.f64 (log.f64 (/.f64 1/2 v)) 9))
(.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9) (cbrt.f64 (log.f64 (/.f64 1/2 v))))
(.f64 1 (.f64 (log.f64 (/.f64 1/2 v)) 9))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (cbrt.f64 (.f64 729 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(cbrt.f64 (.f64 (.f64 729 (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(.f64 -1 (neg.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (.f64 729 (log.f64 (/.f64 1/2 v)))))
(cbrt.f64 (.f64 (.f64 729 (log.f64 (/.f64 1/2 v))) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9) (cbrt.f64 (log.f64 (/.f64 1/2 v))))
(.f64 (neg.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) -1)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2) (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2)) (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) 2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 9) (cbrt.f64 (log.f64 (/.f64 1/2 v))))
(.f64 -1 (.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 9))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 2)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9) 2)) (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(*.f64 9 (log.f64 (/.f64 1/2 v)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(.f64 3 (.f64 3 (log.f64 (/.f64 1/2 v))))
(.f64 3 (.f64 (log.f64 (/.f64 1/2 v)) 3))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) 3) 3)
(.f64 3 (.f64 (log.f64 (/.f64 1/2 v)) 3))
(.f64 (.f64 3 (log.f64 (/.f64 1/2 v))) 3)
(.f64 3 (.f64 (log.f64 (/.f64 1/2 v)) 3))
(.f64 3 (.f64 (log.f64 (/.f64 1/2 v)) 3))
(.f64 (cbrt.f64 81) (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (cbrt.f64 81) (log.f64 (/.f64 1/2 v))) (cbrt.f64 9))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 81))) (pow.f64 (cbrt.f64 (cbrt.f64 81)) 2))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) 1) (cbrt.f64 81))
(.f64 (.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 81))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1/2 v)) (cbrt.f64 9)) (cbrt.f64 9)) (cbrt.f64 9))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2))
(.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9))) 2) 2)))
(/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 1)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3) 1/3)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)) 3)
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9)))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 9) 3))
(*.f64 (log.f64 (/.f64 1/2 v)) 9)

eval2.1s (8.1%)

Compiler: Compiled 54090 to 41584 computations (23.1% saved)

prune437.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1495	5	1500
Fresh	0	6	6
Picked	0	1	1
Done	2	2	4
Total	1497	14	1511

Error

Counts

1511 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
	0.4b	(pow.f64 (E.f64) (/.f64 -1 v))
	0.0b	(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
	0.0b	(/.f64 (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
	41.0b	(/.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
	0.0b	(/.f64 (exp.f64 6931/10000) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v))))) 2))
	0.0b	(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
	0.4b	(/.f64 1 (exp.f64 (/.f64 1 v)))
	0.4b	(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
✓	0.4b	(exp.f64 (/.f64 -1 v))
✓	0.0b	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
	33.5b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))))))
✓	59.0b	(cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))
	62.0b	1

Compiler

Compiled 251 to 211 computations (15.9% saved)

regimes102.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

Inputs
1
(exp.f64 (/.f64 -1 v))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (exp.f64 6931/10000))
(pow.f64 (E.f64) (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
(.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) (exp.f64 6931/10000))
(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(/.f64 (exp.f64 6931/10000) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v))))) 2))
(/.f64 (exp.f64 6931/10000) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_O cosTheta_i)) v) (log.f64 (/.f64 1/2 v))))) 2))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 3 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))))))
(/.f64 (/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 3) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))
(cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 1/2 v)) 9))) (exp.f64 (.f64 (+.f64 (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) 3))))
(/.f64 (/.f64 (exp.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v)))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 20793/10000 (/.f64 (.f64 3 (fma.f64 cosTheta_O cosTheta_i -1)) v))))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) (exp.f64 (+.f64 (.f64 3 (+.f64 6931/10000 (/.f64 (+.f64 (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1) (*.f64 cosTheta_i cosTheta_O)) v))) (log.f64 (/.f64 1/2 v))))))
(/.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 (fma.f64 cosTheta_O (/.f64 cosTheta_i v) 6931/10000) (log.f64 (/.f64 1/2 v))) 3))) (pow.f64 (E.f64) (/.f64 1/2 v))) (pow.f64 (E.f64) (/.f64 1/2 v)))

Outputs
(/.f64 (exp.f64 6931/10000) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v))))) 2))

Calls

9 calls:

14.0ms	sinTheta_O
13.0ms	sinTheta_i
12.0ms	cosTheta_i
12.0ms	cosTheta_O
10.0ms	(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v))))

Results

Error	Segments	Branch
0.0b	1	`cosTheta_i`
0.0b	1	`cosTheta_O`
0.0b	1	`sinTheta_i`
0.0b	1	`sinTheta_O`
0.0b	1	`v`
0.0b	1	`(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))`
0.0b	1	`(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v))))`
0.0b	1	`(*.f64 cosTheta_i cosTheta_O)`
0.0b	1	`(*.f64 sinTheta_i sinTheta_O)`

Compiler

Compiled 573 to 401 computations (30% saved)

regimes66.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
1
(exp.f64 (/.f64 -1 v))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))
(pow.f64 (E.f64) (-.f64 6931/10000 (-.f64 (/.f64 (-.f64 1 (*.f64 cosTheta_i cosTheta_O)) v) (log.f64 (/.f64 1/2 v)))))
(.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))) (exp.f64 6931/10000))
(pow.f64 (E.f64) (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v)))
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v))))))
(.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (+.f64 (.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v))) (exp.f64 6931/10000))
(pow.f64 (E.f64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 cosTheta_i cosTheta_O) (fma.f64 sinTheta_i (neg.f64 sinTheta_O) -1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))

Outputs
(/.f64 (exp.f64 6931/10000) (exp.f64 (-.f64 (/.f64 1 v) (log.f64 (/.f64 1/2 v)))))

Calls

9 calls:

9.0ms	sinTheta_i
8.0ms	sinTheta_O
8.0ms	cosTheta_O
8.0ms	cosTheta_i
7.0ms	(*.f64 sinTheta_i sinTheta_O)

Results

Error	Segments	Branch
0.0b	1	`cosTheta_i`
0.0b	1	`cosTheta_O`
0.0b	1	`sinTheta_i`
0.0b	1	`sinTheta_O`
0.0b	1	`v`
0.0b	1	`(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))`
0.0b	1	`(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v))))`
0.0b	1	`(*.f64 cosTheta_i cosTheta_O)`
0.0b	1	`(*.f64 sinTheta_i sinTheta_O)`

Compiler

Compiled 340 to 234 computations (31.2% saved)

regimes58.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
1
(exp.f64 (/.f64 -1 v))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))
(exp.f64 (-.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v)))
(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))

Outputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 1 v)))

Calls

9 calls:

12.0ms	sinTheta_O
10.0ms	(*.f64 cosTheta_i cosTheta_O)
6.0ms	cosTheta_i
5.0ms	cosTheta_O
5.0ms	sinTheta_i

Results

Error	Segments	Branch
0.0b	1	`cosTheta_i`
0.0b	1	`cosTheta_O`
0.0b	1	`sinTheta_i`
0.0b	1	`sinTheta_O`
0.0b	1	`v`
0.0b	1	`(exp.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v)))))`
0.0b	1	`(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 1 v)) 6931/10000) (log.f64 (/.f64 1 (*.f64 2 v))))`
0.0b	1	`(*.f64 cosTheta_i cosTheta_O)`
0.0b	1	`(*.f64 sinTheta_i sinTheta_O)`

Compiler

Compiled 207 to 148 computations (28.5% saved)

regimes27.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(exp.f64 (/.f64 -1 v))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))
(pow.f64 (E.f64) (/.f64 -1 v))
(pow.f64 (exp.f64 (/.f64 -3 v)) 1/3)

Outputs
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 cosTheta_i cosTheta_O) v) v) (*.f64 v v)))

Calls

6 calls:

5.0ms	cosTheta_O
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_i
3.0ms	(*.f64 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(*.f64 cosTheta_i cosTheta_O)`

Compiler

Compiled 87 to 65 computations (25.3% saved)

regimes22.0ms (0.1%)

Accuracy

Total -61.5b remaining (-14394.6%)

Threshold costs -61.5b (-14394.6%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(exp.f64 (/.f64 -1 v))
(/.f64 1 (exp.f64 (/.f64 1 v)))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (/.f64 1 v)))

Outputs
(exp.f64 (/.f64 -1 v))

Calls

6 calls:

4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
3.0ms	cosTheta_i
3.0ms	v

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(*.f64 cosTheta_i cosTheta_O)`

Compiler

Compiled 64 to 51 computations (20.3% saved)

simplify2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 85 to 72 computations (15.3% saved)

soundness0.0ms (0%)

Compiler: Compiled 10 to 10 computations (0% saved)

end49.0ms (0.2%)

Compiler: Compiled 60 to 47 computations (21.7% saved)