Details

analyze381.0ms (0.5%)

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)

sample2.8s (3.9%)

Results

2.7s	8256×	body	256	valid
5.0ms	19×	body	256	invalid

Bogosity

preprocess3.3s (4.6%)

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 (-.f64 (.f64 cosTheta_i cosTheta_O) (.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 (-.f64 (.f64 cosTheta_i cosTheta_O) (.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 (-.f64 (.f64 sinTheta_i cosTheta_O) (.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 (-.f64 (.f64 sinTheta_O cosTheta_O) (.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 (-.f64 (.f64 v cosTheta_O) (.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 (-.f64 (.f64 sinTheta_i cosTheta_i) (.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 (-.f64 (.f64 cosTheta_i sinTheta_O) (.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 (-.f64 (.f64 cosTheta_i v) (.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 (-.f64 (.f64 cosTheta_i cosTheta_O) (.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 (-.f64 (.f64 cosTheta_i cosTheta_O) (.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 (-.f64 (.f64 cosTheta_i cosTheta_O) (.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)

simplify1.5s (2.1%)

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

eval2.0ms (0%)

Compiler: Compiled 49 to 35 computations (28.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(exp.f64 (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1) v)) (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 24 to 18 computations (25% saved)

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 103 to 45 computations (56.3% saved)

series193.0ms (0.3%)

Counts

4 → 163

Calls

45 calls:

Time	Variable		Point	Expression
40.0ms	v	@	0	(log.f64 (/.f64 1/2 v))
28.0ms	v	@	-inf	(log.f64 (/.f64 1/2 v))
10.0ms	v	@	inf	(log.f64 (/.f64 1/2 v))
5.0ms	cosTheta_O	@	0	(+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1) v)) (log.f64 (/.f64 1/2 v)))
3.0ms	sinTheta_O	@	0	(+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1) v)) (log.f64 (/.f64 1/2 v)))

Compiler

Compiled 12810 to 5565 computations (56.6% saved)

rewrite1.8s (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
74×	`egg-rr`
49×	`egg-rr`
15×	`egg-rr`

Counts

4 → 215

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_O sinTheta_i) 2)) (.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i)) (cbrt.f64 (.f64 sinTheta_O sinTheta_i))))) (-.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i)) (cbrt.f64 (.f64 sinTheta_O sinTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i))) (cbrt.f64 (pow.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 2)) (cbrt.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 cosTheta_O cosTheta_i) 0) (.f64 sinTheta_O sinTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 sinTheta_O (neg.f64 sinTheta_i)) (.f64 (neg.f64 cosTheta_O) cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O (neg.f64 sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 cosTheta_i cosTheta_O (.f64 sinTheta_O (neg.f64 sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i)) (cbrt.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2)) (.f64 sinTheta_O (neg.f64 sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O (neg.f64 sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 sinTheta_O sinTheta_i) (.f64 cosTheta_O cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O sinTheta_i)) 0) (/.f64 (-.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2) (pow.f64 (.f64 sinTheta_O sinTheta_i) 2)) (fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O sinTheta_i))) (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 sinTheta_O sinTheta_i) 0) (/.f64 (-.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 3) (pow.f64 (.f64 sinTheta_O sinTheta_i) 3)) (+.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2) (.f64 (.f64 sinTheta_O sinTheta_i) (fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O sinTheta_i))))) (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2) (.f64 (.f64 sinTheta_O sinTheta_i) (fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O sinTheta_i)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 3) (pow.f64 (.f64 sinTheta_O sinTheta_i) 3)) (+.f64 (pow.f64 (.f64 cosTheta_O cosTheta_i) 2) (.f64 (.f64 sinTheta_O sinTheta_i) (fma.f64 cosTheta_O cosTheta_i (.f64 sinTheta_O sinTheta_i))))) (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 6931/10000 (.f64 6931/10000 (.f64 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 10000/6931)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) v) (+.f64 (/.f64 -1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6931/10000 (+.f64 (.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (.f64 6931/10000 v))) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6931/10000 (+.f64 (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (.f64 6931/10000 v)) 6931/10000) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) v)) (/.f64 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (.f64 6931/10000 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (*.f64 6931/10000 v)) 6931/10000))))))

simplify6.0s (8.3%)

Algorithm

1×

egglog

Counts

378 → 304

Calls

Call 1

Inputs
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 6931/10000 (+.f64 (/.f64 1 v) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))
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(-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) v)))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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(-.f64 (+.f64 6931/10000 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (+.f64 (/.f64 1 v) (/.f64 (.f64 sinTheta_i sinTheta_O) 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 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
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6931/10000
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6931/10000
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(+.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v))
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(+.f64 6931/10000 (.f64 6931/10000 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 10000/6931)))
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Outputs
(.f64 -1 (.f64 sinTheta_i sinTheta_O))
(neg.f64 (*.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(*.f64 cosTheta_O cosTheta_i)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
(-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_i sinTheta_O))
(*.f64 cosTheta_i cosTheta_O)
(*.f64 cosTheta_O cosTheta_i)
(+.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) (*.f64 cosTheta_i cosTheta_O))
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(if (!=.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 2) (-.f64 48038761/100000000 (.f64 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 6931/10000))) 0) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) (log.f64 (/.f64 1/2 v))) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) 2) (.f64 6931/10000 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000)))) 0) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))) (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 0) (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 3)) (+.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 2) (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v))))) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 3) (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3)) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (fma.f64 sinTheta_i sinTheta_O 1) (.f64 cosTheta_O cosTheta_i)) v)) (log.f64 (/.f64 1/2 v)))))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 3) (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 2) (-.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 3) (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3)) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (fma.f64 sinTheta_i sinTheta_O 1) (.f64 cosTheta_O cosTheta_i)) v)) (log.f64 (/.f64 1/2 v)))))) (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 6931/10000 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v)))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 6931/10000)
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (.f64 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 10000/6931) 6931/10000))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (.f64 6931/10000 (.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) (log.f64 (/.f64 1/2 v))) 10000/6931)))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) v) (+.f64 (/.f64 -1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.f64 (.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (*.f64 6931/10000 v))) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.f64 (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (*.f64 6931/10000 v)) 6931/10000) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (.f64 sinTheta_O sinTheta_i)) v)) (/.f64 -1 v))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (.f64 6931/10000 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (*.f64 6931/10000 v))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (.f64 (/.f64 (-.f64 (.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) (*.f64 6931/10000 v)) 6931/10000))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_O cosTheta_i) (fma.f64 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f64 (/.f64 1/2 v)))

eval304.0ms (0.4%)

Compiler: Compiled 12987 to 7448 computations (42.7% saved)

prune101.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	4	305

Error

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.3b	(exp.f64 (+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) (log.f64 (/.f64 1/2 v))))
▶	57.8b	(exp.f64 (+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))))
▶	0b	(exp.f64 (+.f64 (+.f64 6931/10000 (/.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) v)) (log.f64 (/.f64 1/2 v))))
▶	62.6b	(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 65 to 52 computations (20% saved)

localize27.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1/2 v))
✓	0.3b	(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
✓	5.7b	(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series19.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

Compiler

Compiled 1170 to 1015 computations (13.2% saved)

rewrite2.2s (3%)

Algorithm

1×	batch-egg-rewrite

Rules

83×	`egg-rr`
70×	`egg-rr`

Counts

2 → 153

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 6931/10000) (exp.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3) (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3)) (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 6931/10000) (fabs.f64 (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 6931/10000) (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000)) (exp.f64 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 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Outputs

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simplify4.2s (5.9%)

Algorithm

1×

egglog

Counts

161 → 176

Calls

Call 1

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

Outputs
(exp.f64 (+.f64 (*.f64 -1 (log.f64 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (+.f64 6931/10000 (log.f64 1/2))))
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 v)))
(fabs.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(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))))) (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (exp.f64 6931/10000) (exp.f64 (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 6931/10000))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3) (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3)) (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (exp.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2/3))))
(*.f64 (exp.f64 6931/10000) (fabs.f64 (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2/3)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (exp.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2/3))))
(*.f64 (exp.f64 6931/10000) (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 1 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(*.f64 (pow.f64 (exp.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000)) (exp.f64 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)))) 1)
(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))))) (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) -1/2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) -1))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1)) -6931/10000))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (pow.f64 (E.f64) (-.f64 -6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2) -1/2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (exp.f64 (-.f64 -6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 1 (/.f64 1 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 1)
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(sqrt.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (pow.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) 48038761/100000000) -1))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 6931/10000)) (*.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1) (cbrt.f64 48038761/100000000)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2))) (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1)) 6931/10000)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (E.f64) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 6931/10000) (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (sqrt.f64 6931/10000)) (+.f64 (sqrt.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 6931/10000))))
(exp.f64 (+.f64 6931/10000 (*.f64 (/.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 6931/10000)) (sqrt.f64 6931/10000))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 3)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2) 1/2)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 3) (*.f64 2 1/6))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))) 4)
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(pow.f64 (E.f64) (.f64 2 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1/2)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 6931/10000) (*.f64 2 (/.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1) 2)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (*.f64 2 (/.f64 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2)) 1))
(pow.f64 (E.f64) (/.f64 (*.f64 2 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 3) (/.f64 2/3 2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 6931/10000) (/.f64 (*.f64 2 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1)) 2))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2)) 1))
(pow.f64 (exp.f64 6931/10000) (+.f64 1 (/.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (-.f64 -332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (/.f64 1 (-.f64 -48038761/100000000 (*.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v))))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 48038761/100000000)) (cbrt.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 10000/6931)))) (+.f64 (cbrt.f64 6931/10000) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (*.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (cbrt.f64 48038761/100000000) (cbrt.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 10000/6931)))) (+.f64 (cbrt.f64 6931/10000) (cbrt.f64 (log.f64 (/.f64 1/2 v))))))
(pow.f64 (exp.f64 (+.f64 (cbrt.f64 48038761/100000000) (*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (-.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 6931/10000))))) (+.f64 (cbrt.f64 6931/10000) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (*.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1) (cbrt.f64 48038761/100000000))) (cbrt.f64 6931/10000))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (+.f64 (sqrt.f64 6931/10000) (/.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 6931/10000)))) (sqrt.f64 6931/10000))
(exp.f64 (+.f64 6931/10000 (*.f64 (/.f64 (log.f64 (/.f64 1/2 v)) (sqrt.f64 6931/10000)) (sqrt.f64 6931/10000))))
(pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 1)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 3) 1/3)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (exp.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) 48038761/100000000) -1)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))) 2)
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
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(if (!=.f64 (pow.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 2) 0) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(if (!=.f64 (pow.f64 (exp.f64 2) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 0) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
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(if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
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(exp.f64 (.f64 (/.f64 (.f64 3 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) 3) 1))
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(.f64 (+.f64 (cbrt.f64 48038761/100000000) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (-.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 6931/10000)))) (+.f64 (cbrt.f64 6931/10000) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
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(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (cbrt.f64 48038761/100000000) (cbrt.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 10000/6931)))) (+.f64 (cbrt.f64 6931/10000) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(*.f64 6931/10000 (+.f64 1 (/.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000)))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(*.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) 10000/6931 1) 6931/10000)
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
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(if (!=.f64 (-.f64 2307722558415121/10000000000000000 (.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v))) (-.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v)))))) 0) (.f64 (/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (+.f64 110860132438012536505081/1000000000000000000000000 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v))) 3))) (-.f64 2307722558415121/10000000000000000 (.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v))) (-.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 v)) -6931/10000) (log.f64 (/.f64 1/2 v))))))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 2307722558415121/10000000000000000 (.f64 (.f64 (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))) (fma.f64 (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v)) -48038761/100000000))) 0) (.f64 (/.f64 (-.f64 -332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (-.f64 -110860132438012536505081/1000000000000000000000000 (pow.f64 (.f64 (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))) 3))) (+.f64 2307722558415121/10000000000000000 (.f64 (.f64 (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v))) (fma.f64 (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) (log.f64 (/.f64 1/2 v)) -48038761/100000000)))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
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(if (!=.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 0) (/.f64 1 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) -1)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 2) 48038761/100000000) (-.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
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(if (!=.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 0) (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) (+.f64 1 (/.f64 6931/10000 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931)))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (*.f64 (+.f64 1 (/.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 0) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 48038761/100000000 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) (-.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000))) 0) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) 0) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 2) (-.f64 48038761/100000000 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000))) 0) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 -6931/10000 (log.f64 (/.f64 1/2 v))) 48038761/100000000) 0) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) 6931/10000)
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 6931/10000) 10000/6931) 6931/10000)
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))
(+.f64 (-.f64 6931/10000 0) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))

localize70.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 71 to 43 computations (39.4% saved)

series53.0ms (0.1%)

Counts

2 → 63

Calls

18 calls:

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

Compiler

Compiled 4330 to 2295 computations (47% saved)

rewrite2.2s (3%)

Algorithm

1×	batch-egg-rewrite

Rules

86×	`egg-rr`
76×	`egg-rr`

Counts

2 → 162

Calls

Call 1

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

Outputs
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Outputs

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simplify4.6s (6.4%)

Algorithm

1×

egglog

Counts

225 → 222

Calls

Call 1

Inputs
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(/.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) v)
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(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
6931/10000
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 1 v))
6931/10000
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(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 v))
(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (/.f64 1 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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Outputs
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6931/10000
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6931/10000
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) (-.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3) (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3)) (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) (-.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))) (+.f64 (+.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 (log.f64 (/.f64 1/2 v)) (-.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3)) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 (log.f64 (/.f64 1/2 v)) (-.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 0) (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3)) (+.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (-.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))))) (+.f64 (+.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 0) (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3)) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 (log.f64 (/.f64 1/2 v)) (-.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3) (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3)) (+.f64 (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 2) (-.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))) (.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))))) (+.f64 (+.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 3) (pow.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 3)) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 2) (*.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 (log.f64 (/.f64 1/2 v)) (-.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))))) (+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 6931/10000 (/.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) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (+.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v)))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.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) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 6931/10000)
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 10000/6931) 6931/10000))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (*.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1) (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (*.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) 1))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (.f64 6931/10000 (.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) (log.f64 (/.f64 1/2 v))) 10000/6931)))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.f64 (/.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O -1) 6931/10000) (.f64 6931/10000 v)) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 6931/10000 (+.f64 (.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) (.f64 6931/10000 v))) (log.f64 (/.f64 1/2 v))))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (+.f64 (/.f64 -1 v) (+.f64 6931/10000 (log.f64 (/.f64 1/2 v)))))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (/.f64 -1 v))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (/.f64 (.f64 (fma.f64 cosTheta_i cosTheta_O -1) 6931/10000) (.f64 6931/10000 v)))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 v))) (.f64 6931/10000 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) (.f64 6931/10000 v))))
(+.f64 (+.f64 (/.f64 (fma.f64 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f64 (/.f64 1/2 v)))

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1/2 v))
✓	0.0b	(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))
✓	4.4b	(exp.f64 (+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))))
✓	18.0b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 45 to 22 computations (51.1% saved)

series57.0ms (0.1%)

Counts

3 → 63

Calls

27 calls:

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

Compiler

Compiled 5240 to 3075 computations (41.3% saved)

rewrite1.7s (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

82×	`egg-rr`
52×	`egg-rr`
51×	`egg-rr`

Counts

3 → 185

Calls

Call 1

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

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

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

simplify6.2s (8.6%)

Algorithm

1×

egglog

Counts

248 → 234

Calls

Call 1

Inputs
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)) v)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)) v)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))) (.f64 1/12 (/.f64 (*.f64 (pow.f64 cosTheta_i 3) (pow.f64 (/.f64 cosTheta_O v) 3)) v)))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 cosTheta_O 2) (pow.f64 (/.f64 cosTheta_i v) 2)) v))))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))) (+.f64 (.f64 1/12 (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (pow.f64 cosTheta_O 3)) v)) (.f64 1/4 (/.f64 (*.f64 (pow.f64 cosTheta_O 2) (pow.f64 (/.f64 cosTheta_i v) 2)) v)))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(+.f64 (/.f64 (.f64 cosTheta_i (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) cosTheta_O)) v) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))
(+.f64 (/.f64 (.f64 cosTheta_i (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) cosTheta_O)) v) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (.f64 1/2 (.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (pow.f64 (/.f64 1 v) 2))))))
(+.f64 (/.f64 (.f64 cosTheta_i (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) cosTheta_O)) v) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 3) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (pow.f64 (.f64 cosTheta_i cosTheta_O) 3)))) (.f64 1/2 (.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (pow.f64 (/.f64 1 v) 2)))))))
(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))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(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))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (log.f64 1/2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (log.f64 1/2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (log.f64 1/2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (log.f64 1/2) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (log.f64 1/2) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (log.f64 1/2) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(*.f64 (/.f64 cosTheta_O (cbrt.f64 v)) (/.f64 cosTheta_i (cbrt.f64 (pow.f64 v 2))))
(*.f64 (/.f64 cosTheta_i (cbrt.f64 v)) (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))))
(*.f64 (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))) (/.f64 cosTheta_i (cbrt.f64 v)))
(*.f64 (/.f64 cosTheta_i (cbrt.f64 (pow.f64 v 2))) (/.f64 cosTheta_O (cbrt.f64 v)))
(*.f64 (/.f64 cosTheta_i v) cosTheta_O)
(.f64 (cbrt.f64 (pow.f64 v -1)) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2))))
(*.f64 cosTheta_O (/.f64 cosTheta_i v))
(.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 cosTheta_i cosTheta_O) 2)) v))
(*.f64 cosTheta_i (/.f64 cosTheta_O v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (/.f64 1 (cbrt.f64 (pow.f64 v 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2)) v) (cbrt.f64 (*.f64 cosTheta_i cosTheta_O)))
(*.f64 (/.f64 cosTheta_O v) cosTheta_i)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 (pow.f64 v -1)))
(.f64 (pow.f64 v -1) (.f64 cosTheta_i cosTheta_O))
(.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v -1))
(.f64 (.f64 cosTheta_i (neg.f64 cosTheta_O)) (/.f64 -1 v))
(.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))
(.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 -1 (/.f64 (.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1)
(-.f64 (/.f64 0 (neg.f64 v)) (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(-.f64 (/.f64 (/.f64 0 (neg.f64 v)) 1) (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(-.f64 3 (+.f64 3 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v)))
(-.f64 (/.f64 0 v) (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(-.f64 1 (+.f64 1 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v)))
(-.f64 0 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (pow.f64 (cbrt.f64 (cbrt.f64 v)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 v 2)) 2)))
(/.f64 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) (cbrt.f64 v)) (neg.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 v))) (neg.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 cosTheta_i (neg.f64 cosTheta_O))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (neg.f64 (cbrt.f64 v)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)))) (neg.f64 (cbrt.f64 v)))
(/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) (neg.f64 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(/.f64 (*.f64 cosTheta_O (/.f64 cosTheta_i (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (cbrt.f64 v))
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 v))
(/.f64 (*.f64 cosTheta_i (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (*.f64 cosTheta_i cosTheta_O))) (cbrt.f64 v))
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 v -1)) (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (*.f64 (/.f64 cosTheta_i (cbrt.f64 v)) cosTheta_O) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (pow.f64 (*.f64 cosTheta_i cosTheta_O) 2))) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (*.f64 (/.f64 cosTheta_O (cbrt.f64 v)) cosTheta_i) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
(pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 3))
(neg.f64 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(neg.f64 (-.f64 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v) 0))
(neg.f64 (-.f64 (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v) (/.f64 0 (neg.f64 v))))
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(fma.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v -1) (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 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 (pow.f64 v -1) (*.f64 cosTheta_i cosTheta_O) (log.f64 (/.f64 1/2 v)))
(fma.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) (/.f64 -1 v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (log.f64 (/.f64 1/2 v)) 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1 (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))) 3)
(pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 1)
(cbrt.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 3))
(neg.f64 (neg.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))))
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(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (.f64 (log.f64 (/.f64 1/2 v)) (+.f64 1 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 1 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) -1)) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i (neg.f64 cosTheta_O)) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 0) (log.f64 (/.f64 1/2 v)))
(+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))

Outputs
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))))
(.f64 1/2 (+.f64 (pow.f64 v -1) (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)) v)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 1/2) v))
(+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2)) v)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))) (.f64 1/12 (/.f64 (*.f64 (pow.f64 cosTheta_i 3) (pow.f64 (/.f64 cosTheta_O v) 3)) v)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2)) (/.f64 (.f64 1/12 (.f64 (pow.f64 cosTheta_i 3) (pow.f64 (/.f64 cosTheta_O v) 3))) v)) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)) 1/2) v))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(/.f64 1/2 v)
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(.f64 1/2 (+.f64 (pow.f64 v -1) (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 v 2))))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(exp.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(*.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2)
(+.f64 (/.f64 (.f64 cosTheta_i (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) cosTheta_O)) v) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))
(+.f64 (/.f64 (.f64 cosTheta_i (.f64 (.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2) cosTheta_O)) v) (.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2))
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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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(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
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(*.f64 (cbrt.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 2)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (-.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (-.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))) (+.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (-.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (-.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v))))) (+.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(-.f64 (/.f64 0 (neg.f64 v)) (neg.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
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(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (neg.f64 (log.f64 (/.f64 1/2 v))))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
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(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (pow.f64 v -1)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 cosTheta_i (cbrt.f64 v)) (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_O (/.f64 cosTheta_i v) (log.f64 (/.f64 1/2 v)))
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(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (/.f64 (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2)) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 cosTheta_i (cbrt.f64 v)) (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 cosTheta_O (cbrt.f64 v)) (/.f64 cosTheta_i (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 cosTheta_i (cbrt.f64 v)) (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 (*.f64 cosTheta_i cosTheta_O) (pow.f64 v -1) (log.f64 (/.f64 1/2 v)))
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(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 (pow.f64 v -1) (*.f64 cosTheta_i cosTheta_O) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (*.f64 cosTheta_i (neg.f64 cosTheta_O)) (/.f64 -1 v) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (log.f64 (/.f64 1/2 v)) 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1 (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(pow.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(pow.f64 (cbrt.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))) 3)
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 1)
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(cbrt.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 3))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(neg.f64 (neg.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (+.f64 1 (/.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (.f64 (log.f64 (/.f64 1/2 v)) (+.f64 1 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v))))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 1 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) -1)) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) 0) (pow.f64 (pow.f64 (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))) -1) -1) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i (neg.f64 cosTheta_O)) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (neg.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3))) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (pow.f64 (log.f64 (/.f64 1/2 v)) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2))) (fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v))))
(+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(+.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 0) (log.f64 (/.f64 1/2 v)))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))
(+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(fma.f64 cosTheta_i (/.f64 cosTheta_O v) (log.f64 (/.f64 1/2 v)))

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1/2 v))
✓	0.0b	(+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) (log.f64 (/.f64 1/2 v)))
✓	4.4b	(exp.f64 (+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) (log.f64 (/.f64 1/2 v))))
✓	20.6b	(/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v))

Compiler

Compiled 50 to 23 computations (54% saved)

series55.0ms (0.1%)

Counts

3 → 99

Calls

27 calls:

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

Compiler

Compiled 7140 to 4075 computations (42.9% saved)

rewrite1.7s (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
66×	`egg-rr`
56×	`egg-rr`

Counts

3 → 199

Calls

Call 1

Inputs

(/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v))

(exp.f64 (+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) (log.f64 (/.f64 1/2 v))))

(+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) (log.f64 (/.f64 1/2 v)))

Outputs

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

simplify5.7s (8%)

Algorithm

1×

egglog

Counts

298 → 259

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(/.f64 1/2 v)
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (*.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/4 (/.f64 (.f64 (pow.f64 sinTheta_i 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_O v)) 2)) v))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 sinTheta_i 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_O v)) 2)) v)) (.f64 1/12 (/.f64 (.f64 (pow.f64 (*.f64 -1 (/.f64 sinTheta_O v)) 3) (pow.f64 sinTheta_i 3)) v)))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(/.f64 1/2 v)
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (*.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 1/4 (/.f64 (.f64 (pow.f64 sinTheta_O 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_i v)) 2)) v))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v 2))) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 sinTheta_O 2) (pow.f64 (.f64 -1 (/.f64 sinTheta_i v)) 2)) v)) (.f64 1/12 (/.f64 (.f64 (pow.f64 (*.f64 -1 (/.f64 sinTheta_i v)) 3) (pow.f64 sinTheta_O 3)) v)))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i (*.f64 sinTheta_O (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))))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i (.f64 sinTheta_O (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))) v)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 v) 2) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (pow.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) 2)))) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i (.f64 sinTheta_O (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))) v)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 3) (.f64 (pow.f64 (.f64 -1 (.f64 sinTheta_i sinTheta_O)) 3) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 v) 2) (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))) (pow.f64 (.f64 -1 (*.f64 sinTheta_i sinTheta_O)) 2)))) (exp.f64 (+.f64 (log.f64 (/.f64 1 v)) (log.f64 1/2))))))
(log.f64 (/.f64 1/2 v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(log.f64 (/.f64 1/2 v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 (/.f64 1/2 v)))
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 v)) (+.f64 (.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (log.f64 1/2)))
(*.f64 (/.f64 sinTheta_i (neg.f64 (cbrt.f64 v))) (/.f64 sinTheta_O (cbrt.f64 (pow.f64 v 2))))
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(pow.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 v)))))) (+.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))) 2)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))))
(neg.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) -1))
(neg.f64 (neg.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))))) 3))
(if (!=.f64 (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 0) (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) (exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (.f64 (.f64 3 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/3))
(exp.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(exp.f64 (+.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 0))
(exp.f64 (+.f64 (.f64 (.f64 3 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/3) 0))
(exp.f64 (+.f64 0 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))))
(exp.f64 (+.f64 0 (.f64 (.f64 3 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/3)))
(exp.f64 (+.f64 (.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1/2) (.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1/2)))
(exp.f64 (.f64 (.f64 (*.f64 3 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/3) 1))
(exp.f64 (.f64 (.f64 2 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1/2) 2))
(exp.f64 (.f64 (.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1/3) 3))
(exp.f64 (-.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 0))
(exp.f64 (-.f64 (.f64 (.f64 3 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 1/3) 0))
(*.f64 (cbrt.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (+.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 v))))) (+.f64 (cbrt.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (-.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))) (+.f64 (cbrt.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 2)) (cbrt.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))))
(*.f64 1 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(.f64 -1 (-.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))))
(*.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1)
(-.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) (neg.f64 (log.f64 (/.f64 1/2 v))))
(-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(-.f64 (/.f64 0 v) (-.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))))
(-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 0 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(-.f64 (+.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(-.f64 0 (-.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))))
(/.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1)
(/.f64 (-.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) -1)
(fma.f64 -1 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 -1 (cbrt.f64 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (neg.f64 sinTheta_i) (/.f64 sinTheta_O v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 sinTheta_O (neg.f64 (cbrt.f64 v))) (/.f64 sinTheta_i (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 sinTheta_i (neg.f64 (cbrt.f64 v))) (/.f64 sinTheta_O (cbrt.f64 (pow.f64 v 2))) (log.f64 (/.f64 1/2 v)))
(fma.f64 (*.f64 sinTheta_i sinTheta_O) (/.f64 -1 v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (cbrt.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v)) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) (neg.f64 v)) (log.f64 (/.f64 1/2 v)))
(fma.f64 sinTheta_i (/.f64 (neg.f64 sinTheta_O) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) (pow.f64 v -1) (log.f64 (/.f64 1/2 v)))
(fma.f64 sinTheta_O (/.f64 (neg.f64 sinTheta_i) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 (/.f64 -1 v) (*.f64 sinTheta_i sinTheta_O) (log.f64 (/.f64 1/2 v)))
(fma.f64 (cbrt.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O))) (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) (log.f64 (/.f64 1/2 v)))
(fma.f64 1 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))
(fma.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 1 (log.f64 (/.f64 1/2 v)))
(fma.f64 (log.f64 (/.f64 1/2 v)) 1 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v))) (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))
(pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 1)
(pow.f64 (pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v)))) 3)
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 3))
(neg.f64 (-.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))) 3))
(if (!=.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 0) (.f64 (.f64 sinTheta_i sinTheta_O) (/.f64 (+.f64 -1 (/.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))) v)) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (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 (.f64 sinTheta_i sinTheta_O) v) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (-.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v)))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2) (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2)) (+.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v)))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (log.f64 (/.f64 1/2 v)) 0) (.f64 (log.f64 (/.f64 1/2 v)) (-.f64 1 (/.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) 0) (pow.f64 (pow.f64 (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))) -1) -1) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 1/2 v))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 3) (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3)) (fma.f64 (log.f64 (/.f64 1/2 v)) (+.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) (log.f64 (/.f64 1/2 v))) (pow.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 2))) (fma.f64 (neg.f64 sinTheta_O) (/.f64 sinTheta_i v) (log.f64 (/.f64 1/2 v))))
(+.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) (log.f64 (/.f64 1/2 v)))
(+.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))
(+.f64 (-.f64 (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v) 0) (log.f64 (/.f64 1/2 v)))
(+.f64 (-.f64 (log.f64 (/.f64 1/2 v)) 0) (/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) v))

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

eval442.0ms (0.6%)

Compiler: Compiled 24144 to 15726 computations (34.9% saved)

prune406.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	949	6	955
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	953	6	959

Error

Counts

959 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.6b	(/.f64 1/2 v)
▶	62.6b	(*.f64 (exp.f64 (neg.f64 (log.f64 v))) 1/2)
▶	57.4b	(exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
	57.3b	(exp.f64 (-.f64 (log.f64 (/.f64 1/2 v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))
▶	0b	(exp.f64 (+.f64 (/.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) v) (log.f64 (/.f64 1/2 v))))
▶	62.6b	(exp.f64 (log.f64 (/.f64 1/2 v)))

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize36.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 57 to 33 computations (42.1% saved)

series22.0ms (0%)

Counts

1 → 31

Calls

9 calls:

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

Compiler

Compiled 2340 to 1245 computations (46.8% saved)

rewrite1.7s (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

67× egg-rr

Counts

1 → 67

Calls

Call 1

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

Outputs

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

simplify2.6s (3.6%)

Algorithm

1×

egglog

Counts

98 → 92

Calls

Call 1

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

localize4.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
	18.0b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series10.0ms (0%)

Counts

1 → 16

Calls

9 calls:

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

Compiler

Compiled 1280 to 760 computations (40.6% saved)

rewrite1.6s (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

124× egg-rr

Counts

1 → 124

Calls

Call 1

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

Outputs

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simplify3.0s (4.2%)

Algorithm

1×

egglog

Counts

140 → 190

Calls

Call 1

Inputs
1
(+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 cosTheta_i 3) (pow.f64 (/.f64 cosTheta_O v) 3))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 cosTheta_O v) 2) (pow.f64 cosTheta_i 2))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
1
(+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (pow.f64 (/.f64 cosTheta_i v) 2))) (+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 cosTheta_O 2) (pow.f64 (/.f64 cosTheta_i v) 2))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 cosTheta_i v) 3) (pow.f64 cosTheta_O 3))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
1
(+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(+.f64 1 (+.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 1/2 (.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2) (pow.f64 (/.f64 1 v) 2)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (.f64 cosTheta_i cosTheta_O) 3))) (+.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 1/2 (.f64 (pow.f64 (*.f64 cosTheta_i cosTheta_O) 2) (pow.f64 (/.f64 1 v) 2))))))
1
(+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
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Outputs
1
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(pow.f64 (exp.f64 (.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 2)))
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(pow.f64 (exp.f64 (cbrt.f64 cosTheta_O)) (/.f64 (.f64 (cbrt.f64 cosTheta_i) (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2))) v))
(pow.f64 (exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v -1)))
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(pow.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 2) (/.f64 (.f64 cosTheta_i cosTheta_O) v))))
(pow.f64 (pow.f64 (exp.f64 cosTheta_i) (cbrt.f64 cosTheta_O)) (/.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) v))
(pow.f64 (pow.f64 (exp.f64 cosTheta_i) (cbrt.f64 cosTheta_O)) (/.f64 (cbrt.f64 (*.f64 cosTheta_O cosTheta_O)) v))
(pow.f64 (pow.f64 (exp.f64 cosTheta_O) (cbrt.f64 cosTheta_i)) (/.f64 (cbrt.f64 (pow.f64 cosTheta_i 2)) v))
(pow.f64 (pow.f64 (exp.f64 cosTheta_O) (cbrt.f64 cosTheta_i)) (/.f64 (cbrt.f64 (*.f64 cosTheta_i cosTheta_i)) v))
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(pow.f64 (exp.f64 (.f64 (pow.f64 v -1) (cbrt.f64 cosTheta_O))) (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i))
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(if (!=.f64 (pow.f64 (exp.f64 cosTheta_i) cosTheta_O) 0) (pow.f64 (exp.f64 cosTheta_i) (/.f64 cosTheta_O v)) (pow.f64 (exp.f64 cosTheta_i) (/.f64 cosTheta_O v)))
(if (!=.f64 (pow.f64 (exp.f64 cosTheta_i) cosTheta_O) 0) (pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v)) (pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v)))
(exp.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 3) v) 3))
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(exp.f64 (+.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (+.f64 0 (/.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 3) v) 3)))
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(exp.f64 (+.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 0))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 3) v) 3) 0))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (.f64 (.f64 (/.f64 cosTheta_O v) (+.f64 cosTheta_i cosTheta_i)) 1/2))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (.f64 (/.f64 (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) 3) v) 3) 1))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) 3))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (-.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 0))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))
(exp.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) 3) v) 3) 0))
(pow.f64 (exp.f64 cosTheta_O) (/.f64 cosTheta_i v))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1/2 v))
✓	5.6b	(exp.f64 (log.f64 (/.f64 1/2 v)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 210 to 150 computations (28.6% saved)

rewrite1.5s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

72× egg-rr

Counts

1 → 72

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 1/2 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 4)) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3) (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3/2) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3/2)) (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 4)) (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (fabs.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3) (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))) (fabs.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) (fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3)) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2/3) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (cbrt.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 2 (/.f64 (log.f64 (/.f64 1/2 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) (*.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))) (/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) (/.f64 2/3 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 1/2 v))))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (log.f64 (/.f64 1/2 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 0) (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 2) 0) (exp.f64 (log.f64 (/.f64 1/2 v))) (exp.f64 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (exp.f64 (log.f64 (/.f64 1/2 v)))) (*.f64 1/2 (exp.f64 (log.f64 (/.f64 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1/2) (*.f64 (exp.f64 (log.f64 (/.f64 1/2 v))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 0 (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 0 (log.f64 (/.f64 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/2 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 1/2 v)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 1/2 v)) 3) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 v)) 0))))))

simplify2.6s (3.6%)

Algorithm

1×

egglog

Counts

84 → 79

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(exp.f64 (neg.f64 (log.f64 v)))

Compiler

Compiled 22 to 11 computations (50% saved)

series49.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	v	@	-inf	(exp.f64 (neg.f64 (log.f64 v)))
10.0ms	v	@	0	(exp.f64 (neg.f64 (log.f64 v)))
9.0ms	v	@	inf	(exp.f64 (neg.f64 (log.f64 v)))

Compiler

Compiled 410 to 370 computations (9.8% saved)

rewrite1.7s (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

161× egg-rr

Counts

1 → 161

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 v)))

Outputs

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

simplify3.8s (5.3%)

Algorithm

1×

egglog

Counts

165 → 193

Calls

Call 1

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

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

eval214.0ms (0.3%)

Compiler: Compiled 12613 to 6725 computations (46.7% saved)

prune139.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	677	4	681
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	682	5	687

Error

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.0b	(/.f64 (+.f64 v (*.f64 cosTheta_i cosTheta_O)) v)
▶	62.0b	(+.f64 1 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
▶	0b	(exp.f64 (/.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) v))
✓	57.4b	(exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
	62.0b	1

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize11.0ms (0%)

Compiler: Compiled 32 to 16 computations (50% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	18.0b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 24 to 10 computations (58.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 v (*.f64 cosTheta_i cosTheta_O))
✓	0.0b	(/.f64 (+.f64 v (*.f64 cosTheta_i cosTheta_O)) v)

Compiler

Compiled 23 to 8 computations (65.2% saved)

series9.0ms (0%)

Counts

2 → 45

Calls

18 calls:

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

Compiler

Compiled 1215 to 330 computations (72.8% saved)

rewrite1.6s (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

125×	`egg-rr`
79×	`egg-rr`

Counts

2 → 204

Calls

Call 1

Inputs
(/.f64 (+.f64 v (*.f64 cosTheta_i cosTheta_O)) v)
(+.f64 v (*.f64 cosTheta_i cosTheta_O))

Outputs

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simplify4.5s (6.3%)

Algorithm

1×

egglog

Counts

249 → 247

Calls

Call 1

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

eval92.0ms (0.1%)

Compiler: Compiled 7325 to 2780 computations (62% saved)

prune63.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	343	4	347

Error

Counts

347 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
✓	0b	(exp.f64 (/.f64 (-.f64 (*.f64 cosTheta_i cosTheta_O) 1) v))
✓	57.4b	(exp.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
	62.0b	1

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes66.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

Calls

9 calls:

8.0ms	(+.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))))
8.0ms	sinTheta_O
7.0ms	cosTheta_O
7.0ms	cosTheta_i
7.0ms	v

Results

Error	Segments	Branch
0b	1	`cosTheta_i`
0b	1	`cosTheta_O`
0b	1	`sinTheta_i`
0b	1	`sinTheta_O`
0b	1	`v`
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)))))`
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))))`
0b	1	`(*.f64 cosTheta_i cosTheta_O)`
0b	1	`(*.f64 sinTheta_i sinTheta_O)`

Compiler

Compiled 271 to 177 computations (34.7% saved)

regimes50.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	cosTheta_i
12.0ms	(*.f64 cosTheta_i cosTheta_O)
8.0ms	cosTheta_O
4.0ms	v
4.0ms	sinTheta_i

Results

Error	Segments	Branch
34.1b	2	`cosTheta_i`
34.1b	2	`cosTheta_O`
35.3b	1	`sinTheta_i`
35.3b	1	`sinTheta_O`
35.3b	1	`v`
30.5b	2	`(*.f64 cosTheta_i cosTheta_O)`

Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch27.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-1.5940708654105694e-280	-2.670736425853147e-290

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 228 to 179 computations (21.5% saved)

regimes26.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	sinTheta_i
4.0ms	v
4.0ms	cosTheta_O
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Error	Segments	Branch
35.3b	1	`cosTheta_i`
35.3b	1	`cosTheta_O`
35.3b	1	`sinTheta_i`
35.3b	1	`sinTheta_O`
35.3b	1	`v`
35.3b	1	`(*.f64 cosTheta_i cosTheta_O)`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes16.0ms (0%)

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(/.f64 1/2 v)

Outputs
1

Calls

5 calls:

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

Results

Error	Segments	Branch
62.0b	1	`cosTheta_i`
62.0b	1	`cosTheta_O`
62.0b	1	`sinTheta_i`
62.0b	1	`sinTheta_O`
62.0b	1	`v`

Compiler

Compiled 39 to 33 computations (15.4% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 51 to 34 computations (33.3% saved)

soundness0.0ms (0%)

end23.0ms (0%)

Compiler: Compiled 36 to 16 computations (55.6% saved)

Details

analyze381.0ms (0.5%)

sample2.8s (3.9%)

preprocess3.3s (4.6%)

simplify1.5s (2.1%)

eval2.0ms (0%)

prune2.0ms (0%)

localize63.0ms (0.1%)

series193.0ms (0.3%)

rewrite1.8s (2.6%)

simplify6.0s (8.3%)

eval304.0ms (0.4%)

prune101.0ms (0.1%)

localize27.0ms (0%)

series19.0ms (0%)

rewrite2.2s (3%)

simplify4.2s (5.9%)

localize70.0ms (0.1%)

series53.0ms (0.1%)

rewrite2.2s (3%)

simplify4.6s (6.4%)

localize27.0ms (0%)

series57.0ms (0.1%)

rewrite1.7s (2.4%)

simplify6.2s (8.6%)

localize21.0ms (0%)

series55.0ms (0.1%)

rewrite1.7s (2.4%)

simplify5.7s (8%)

eval442.0ms (0.6%)

prune406.0ms (0.6%)

localize36.0ms (0.1%)

series22.0ms (0%)

rewrite1.7s (2.3%)

simplify2.6s (3.6%)

localize4.0ms (0%)

localize7.0ms (0%)

series10.0ms (0%)

rewrite1.6s (2.2%)

simplify3.0s (4.2%)

localize12.0ms (0%)

series3.0ms (0%)

rewrite1.5s (2.1%)

simplify2.6s (3.6%)

localize11.0ms (0%)

series49.0ms (0.1%)

rewrite1.7s (2.4%)

simplify3.8s (5.3%)

eval214.0ms (0.3%)

prune139.0ms (0.2%)

localize11.0ms (0%)

localize8.0ms (0%)

localize7.0ms (0%)

series9.0ms (0%)

rewrite1.6s (2.2%)

simplify4.5s (6.3%)

eval92.0ms (0.1%)

prune63.0ms (0.1%)

regimes66.0ms (0.1%)

regimes50.0ms (0.1%)

bsearch27.0ms (0%)

regimes26.0ms (0%)

regimes16.0ms (0%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end23.0ms (0%)

Profiling