Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 66 to 48 computations (27.3% saved)

sample2.1s (1.4%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess3.8s (2.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_O cosTheta_i) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v))) (/.f64 (.f64 sinTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i cosTheta_i) v))) (/.f64 (.f64 sinTheta_O cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_i))) (/.f64 (.f64 v cosTheta_O) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 cosTheta_i)) 2) cosTheta_i))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 cosTheta_O sinTheta_O) v))) (/.f64 (.f64 cosTheta_i sinTheta_i) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i sinTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_O))) (/.f64 (.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 cosTheta_O)) 2) cosTheta_O))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_O sinTheta_i) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 v sinTheta_O) sinTheta_i))) (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 sinTheta_i)) 2) sinTheta_i))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i v) sinTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 sinTheta_O)) 2) sinTheta_O))

Outputs
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (exp.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_O cosTheta_i) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (exp.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v))) (/.f64 (.f64 sinTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v) (exp.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i cosTheta_i) v))) (/.f64 (.f64 sinTheta_O cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 sinTheta_O cosTheta_O) v) (exp.f64 (/.f64 (.f64 sinTheta_i cosTheta_i) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_i))) (/.f64 (.f64 v cosTheta_O) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 cosTheta_i)) 2) cosTheta_i))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 v cosTheta_O) cosTheta_i) (exp.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_i))) (sinh.f64 (pow.f64 cosTheta_i -1))) (*.f64 2 cosTheta_i))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 cosTheta_O sinTheta_O) v))) (/.f64 (.f64 cosTheta_i sinTheta_i) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 sinTheta_i cosTheta_i) v) (exp.f64 (/.f64 (.f64 sinTheta_O cosTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i sinTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i sinTheta_O) v) (exp.f64 (/.f64 (.f64 sinTheta_i cosTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_O))) (/.f64 (.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 cosTheta_O)) 2) cosTheta_O))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i v) cosTheta_O) (exp.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) cosTheta_O))) (sinh.f64 (pow.f64 cosTheta_O -1))) (*.f64 2 cosTheta_O))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_O sinTheta_i) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (exp.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 v sinTheta_O) sinTheta_i))) (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 sinTheta_i)) 2) sinTheta_i))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_i) (exp.f64 (/.f64 (.f64 v sinTheta_O) sinTheta_i))) (sinh.f64 (pow.f64 sinTheta_i -1))) (*.f64 2 sinTheta_i))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i v) sinTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 sinTheta_O)) 2) sinTheta_O))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) sinTheta_O) (exp.f64 (/.f64 (.f64 sinTheta_i v) sinTheta_O))) (sinh.f64 (pow.f64 sinTheta_O -1))) (*.f64 2 sinTheta_O))

Compiler

Compiled 32 to 24 computations (25% saved)

simplify1.5s (1%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))

Outputs

(/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (*.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))

(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

eval2.0ms (0%)

Compiler: Compiled 48 to 29 computations (39.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
▶	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))

Status

Error

Program

▶

0.5b

(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

▶

0.5b

(/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (*.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize42.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 sinTheta_i sinTheta_O) v)
✓	0.2b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
✓	0.2b	(.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v)
✓	0.9b	(sinh.f64 (/.f64 1 v))

Compiler

Compiled 97 to 37 computations (61.9% saved)

series25.0ms (0%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	sinTheta_i	@	0	(/.f64 (*.f64 sinTheta_i sinTheta_O) v)
1.0ms	v	@	0	(sinh.f64 (/.f64 1 v))
1.0ms	v	@	-inf	(sinh.f64 (/.f64 1 v))
1.0ms	v	@	0	(.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v)
1.0ms	v	@	inf	(.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v)

Compiler

Compiled 1670 to 1410 computations (15.6% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

83×	`egg-rr`
83×	`egg-rr`
63×	`egg-rr`
56×	`egg-rr`

Counts

4 → 285

Calls

Call 1

Inputs
(sinh.f64 (/.f64 1 v))
(.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v)
(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
(/.f64 (*.f64 sinTheta_i sinTheta_O) v)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (pow.f64 2 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 1 (/.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (.f64 (exp.f64 (pow.f64 v -1)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (sinh.f64 (pow.f64 v -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sinh.f64 (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 (pow.f64 v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) 1/2) (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (pow.f64 16 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (neg.f64 (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) -3) 8)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (+.f64 (pow.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) 2) (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (pow.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) 3)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)) (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (.f64 (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (.f64 2 (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 2) (.f64 2 (exp.f64 (/.f64 -1 v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 (pow.f64 v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sinh.f64 (pow.f64 v 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sinTheta_i (neg.f64 sinTheta_O)))) (neg.f64 (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 (cbrt.f64 v)))) (cbrt.f64 (pow.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 -1 v) (.f64 sinTheta_i sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 sinTheta_i 0) (/.f64 sinTheta_O (/.f64 v sinTheta_i)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) 0) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 sinTheta_i sinTheta_O) 0) (/.f64 1 (/.f64 v (.f64 sinTheta_i 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0 (/.f64 (.f64 sinTheta_i sinTheta_O) v))))))

simplify5.4s (3.6%)

Algorithm

1×

egglog

Counts

309 → 362

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(/.f64 1 v)
(+.f64 (/.f64 1 v) (*.f64 1/6 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (.f64 1/120 (pow.f64 (/.f64 1 v) 5))))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 1/5040 (pow.f64 (/.f64 1 v) 7)) (*.f64 1/120 (pow.f64 (/.f64 1 v) 5)))))
(/.f64 1 v)
(+.f64 (/.f64 1 v) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (.f64 -1/6 (pow.f64 (/.f64 -1 v) 3))))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (+.f64 (.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7)) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))))
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 1 v) 2))))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (+.f64 (.f64 1/2520 (pow.f64 (/.f64 1 v) 6)) (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 -1 v) 2))))
(+.f64 (.f64 1/2520 (pow.f64 (/.f64 -1 v) 6)) (+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))))
(*.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (pow.f64 2 -2/3))
(.f64 1/2 (.f64 2 (sinh.f64 (pow.f64 v -1))))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2)
(.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 1 (/.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (*.f64 (exp.f64 (pow.f64 v -1)) 1/2))))
(.f64 -1 (.f64 (sinh.f64 (pow.f64 v -1)) -1))
(.f64 -1 (.f64 (neg.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))
(*.f64 -1 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1/2)
(*.f64 1 (sinh.f64 (pow.f64 v -1)))
(*.f64 (sinh.f64 (pow.f64 v -1)) 1)
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) 1/2))
(-.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(-.f64 0 (*.f64 (sinh.f64 (pow.f64 v -1)) -1))
(-.f64 0 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) 1/2) (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1)))
(/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (pow.f64 16 1/3)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (neg.f64 (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))
(/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) 2)
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) -3) 8)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (+.f64 (pow.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) 2) (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (pow.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) 3)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)) (.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)))))
(/.f64 (-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4))) (cbrt.f64 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (*.f64 (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1)) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (*.f64 2 (+.f64 (exp.f64 (/.f64 -2 v)) (-.f64 (exp.f64 (/.f64 2 v)) -1))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) -2)
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 2) (.f64 2 (exp.f64 (/.f64 -1 v)))) 4)
(/.f64 (sinh.f64 (pow.f64 v -1)) 1)
(sinh.f64 (pow.f64 v -1))
(pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
(pow.f64 (sinh.f64 (pow.f64 v -1)) 1)
(cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3))
(neg.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(neg.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) -1))
(neg.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))
(if (!=.f64 (sinh.f64 (pow.f64 v -1)) 0) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) -1) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (/.f64 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) 2) 0) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) 2) (sinh.f64 (pow.f64 v -1))) (/.f64 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) 2)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 0) (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 (pow.f64 v -1))))) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) 0) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (*.f64 (exp.f64 (/.f64 -1 v)) 1/2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (+.f64 (pow.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) 2) (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (*.f64 (exp.f64 (/.f64 -1 v)) 1/2)))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
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(if (!=.f64 (neg.f64 cosTheta_O) 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v))))) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 (+.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (+.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(if (!=.f64 1 0) (/.f64 (.f64 cosTheta_i cosTheta_O) v) (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(+.f64 0 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (cbrt.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))
(.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 sinTheta_i sinTheta_O) 2)) v))
(*.f64 (/.f64 sinTheta_O (cbrt.f64 v)) (/.f64 sinTheta_i (cbrt.f64 (pow.f64 v 2))))
(*.f64 (/.f64 sinTheta_i (cbrt.f64 v)) (/.f64 sinTheta_O (cbrt.f64 (pow.f64 v 2))))
(.f64 (cbrt.f64 (pow.f64 v -1)) (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 (pow.f64 v 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) v) (cbrt.f64 (*.f64 sinTheta_i sinTheta_O)))
(.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 (pow.f64 v -1)))
(*.f64 (/.f64 sinTheta_i (cbrt.f64 (pow.f64 v 2))) (/.f64 sinTheta_O (cbrt.f64 v)))
(*.f64 (/.f64 sinTheta_O (cbrt.f64 (pow.f64 v 2))) (/.f64 sinTheta_i (cbrt.f64 v)))
(*.f64 sinTheta_O (/.f64 sinTheta_i v))
(*.f64 (/.f64 sinTheta_i v) sinTheta_O)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 v 2) -1)) (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 v)))
(*.f64 sinTheta_i (/.f64 sinTheta_O v))
(.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (cbrt.f64 v)) (cbrt.f64 (pow.f64 (pow.f64 v 2) -1)))
(*.f64 (/.f64 sinTheta_O v) sinTheta_i)
(.f64 -1 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))
(.f64 -1 (.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) -1))
(.f64 -1 (.f64 (/.f64 -1 v) (*.f64 sinTheta_i sinTheta_O)))
(.f64 -1 (.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) (pow.f64 v -1)))
(.f64 -1 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)))
(.f64 1 (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(.f64 (/.f64 -1 v) (.f64 sinTheta_i (neg.f64 sinTheta_O)))
(.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 1)
(.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) (/.f64 -1 v))
(.f64 (pow.f64 v -1) (.f64 sinTheta_i sinTheta_O))
(.f64 (.f64 sinTheta_i sinTheta_O) (pow.f64 v -1))
(-.f64 0 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)))
(-.f64 0 (.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) -1))
(-.f64 0 (.f64 (/.f64 -1 v) (.f64 sinTheta_i sinTheta_O)))
(-.f64 0 (.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) (pow.f64 v -1)))
(-.f64 0 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))
(/.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)) (neg.f64 v))
(/.f64 (/.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 v 2)) 2)))
(/.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 (cbrt.f64 v))) (neg.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 2))) (cbrt.f64 v))
(/.f64 (*.f64 sinTheta_O (/.f64 sinTheta_i (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 v))
(/.f64 (*.f64 sinTheta_i (/.f64 sinTheta_O (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 v))
(/.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (cbrt.f64 (*.f64 sinTheta_i sinTheta_O))) (cbrt.f64 v))
(/.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (*.f64 (/.f64 sinTheta_i (cbrt.f64 v)) sinTheta_O) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (*.f64 (/.f64 sinTheta_O (cbrt.f64 v)) sinTheta_i) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (cbrt.f64 (pow.f64 (*.f64 sinTheta_i sinTheta_O) 2))) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (*.f64 sinTheta_i sinTheta_O) v)
(/.f64 (.f64 (cbrt.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 2))) (neg.f64 (cbrt.f64 v)))
(/.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (cbrt.f64 (pow.f64 v 2)))) (neg.f64 (cbrt.f64 v)))
(/.f64 (.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) -1) v)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (cbrt.f64 (*.f64 sinTheta_i (neg.f64 sinTheta_O)))) (neg.f64 (cbrt.f64 v)))
(/.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 (cbrt.f64 v)))) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)) 3)
(pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 1)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v) 3))
(neg.f64 (.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) -1))
(neg.f64 (.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) (pow.f64 v -1)))
(neg.f64 (.f64 (/.f64 -1 v) (.f64 sinTheta_i sinTheta_O)))
(neg.f64 (neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v)))
(neg.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)))
(neg.f64 (-.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) (neg.f64 v)) 0))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))) 3))
(if (!=.f64 sinTheta_i 0) (/.f64 sinTheta_O (/.f64 v sinTheta_i)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) 0) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (.f64 sinTheta_i sinTheta_O) 0) (/.f64 1 (/.f64 v (.f64 sinTheta_i sinTheta_O))) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 sinTheta_i sinTheta_O) v)) -1) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 -1 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 sinTheta_O 2)) sinTheta_i) 0) (/.f64 (cbrt.f64 sinTheta_O) (/.f64 v (.f64 (cbrt.f64 (pow.f64 sinTheta_O 2)) sinTheta_i))) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 sinTheta_i 2)) sinTheta_O) 0) (/.f64 (cbrt.f64 sinTheta_i) (/.f64 v (.f64 (cbrt.f64 (pow.f64 sinTheta_i 2)) sinTheta_O))) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (cbrt.f64 (pow.f64 sinTheta_O 2)) 0) (/.f64 (.f64 sinTheta_i (cbrt.f64 sinTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 sinTheta_O 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (cbrt.f64 (pow.f64 sinTheta_i 2)) 0) (/.f64 (.f64 sinTheta_O (cbrt.f64 sinTheta_i)) (/.f64 v (cbrt.f64 (pow.f64 sinTheta_i 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)) (/.f64 v (cbrt.f64 (.f64 sinTheta_i sinTheta_O)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 sinTheta_O 0) (/.f64 sinTheta_i (/.f64 v sinTheta_O)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2))) 0) (/.f64 (cbrt.f64 (.f64 sinTheta_i sinTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (.f64 sinTheta_i (neg.f64 sinTheta_O)) 0) (/.f64 1 (/.f64 v (.f64 sinTheta_i sinTheta_O))) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (neg.f64 sinTheta_i) 0) (/.f64 sinTheta_O (/.f64 v sinTheta_i)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (neg.f64 sinTheta_O) 0) (/.f64 sinTheta_i (/.f64 v sinTheta_O)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)) 0) (/.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v))))) 0) (/.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))))) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (+.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (+.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 1 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 0 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(sinh.f64 (pow.f64 v -1))
(/.f64 1 v)
(pow.f64 v -1)
(+.f64 (/.f64 1 v) (*.f64 1/6 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (pow.f64 v -1) (/.f64 1/6 (pow.f64 v 3)))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (.f64 1/120 (pow.f64 (/.f64 1 v) 5))))
(+.f64 (pow.f64 v -1) (+.f64 (/.f64 1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 (pow.f64 v -1) 5))))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 1/5040 (pow.f64 (/.f64 1 v) 7)) (*.f64 1/120 (pow.f64 (/.f64 1 v) 5)))))
(+.f64 (pow.f64 v -1) (+.f64 (/.f64 1/6 (pow.f64 v 3)) (fma.f64 1/5040 (pow.f64 (pow.f64 v -1) 7) (*.f64 1/120 (pow.f64 (pow.f64 v -1) 5)))))
(/.f64 1 v)
(pow.f64 v -1)
(+.f64 (/.f64 1 v) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))
(+.f64 (pow.f64 v -1) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3))))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (.f64 -1/6 (pow.f64 (/.f64 -1 v) 3))))
(fma.f64 -1/120 (pow.f64 (/.f64 -1 v) 5) (+.f64 (pow.f64 v -1) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3)))))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (+.f64 (.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7)) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))))
(fma.f64 -1/120 (pow.f64 (/.f64 -1 v) 5) (+.f64 (pow.f64 v -1) (fma.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3))))))
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))
(+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 1 v) 2))))
(fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (+.f64 (.f64 1/2520 (pow.f64 (/.f64 1 v) 6)) (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))))
(fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (-.f64 (fma.f64 1/2520 (pow.f64 (pow.f64 v -1) 6) (/.f64 (/.f64 (pow.f64 v -1) v) 3)) -2))
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))
(+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 -1 v) 2))))
(fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3)))
(+.f64 (.f64 1/2520 (pow.f64 (/.f64 -1 v) 6)) (+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))))
(fma.f64 1/2520 (pow.f64 (/.f64 -1 v) 6) (fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3))))
(*.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(sinh.f64 (pow.f64 v -1))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (pow.f64 2 -2/3))
(/.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (pow.f64 2 -2/3)) (cbrt.f64 2))
(.f64 1/2 (.f64 2 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2)
(sinh.f64 (pow.f64 v -1))
(.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 1 (/.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (*.f64 (exp.f64 (pow.f64 v -1)) 1/2))))
(.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 1 (/.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) (exp.f64 (pow.f64 v -1)))))
(.f64 -1 (.f64 (sinh.f64 (pow.f64 v -1)) -1))
(sinh.f64 (pow.f64 v -1))
(.f64 -1 (.f64 (neg.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) 1/2))
(sinh.f64 (pow.f64 v -1))
(*.f64 -1 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1/2)
(sinh.f64 (pow.f64 v -1))
(*.f64 1 (sinh.f64 (pow.f64 v -1)))
(sinh.f64 (pow.f64 v -1))
(*.f64 (sinh.f64 (pow.f64 v -1)) 1)
(sinh.f64 (pow.f64 v -1))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) 1/2))
(sinh.f64 (pow.f64 v -1))
(-.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (+.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2)) (+.f64 0 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)))) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) (neg.f64 v)) 0) (/.f64 (pow.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v) 2) (/.f64 (.f64 sinTheta_i sinTheta_O) v)) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(if (!=.f64 1 0) (/.f64 (.f64 sinTheta_i sinTheta_O) v) (/.f64 (.f64 sinTheta_i sinTheta_O) v))
(+.f64 0 (/.f64 (*.f64 sinTheta_i sinTheta_O) v))
(/.f64 (*.f64 sinTheta_i sinTheta_O) v)

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
	0.2b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)
✓	0.2b	(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
✓	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 84 to 32 computations (61.9% saved)

series230.0ms (0.2%)

Counts

3 → 34

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	sinTheta_i	@	-inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
26.0ms	cosTheta_i	@	0	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
14.0ms	cosTheta_i	@	inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
13.0ms	sinTheta_i	@	inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
8.0ms	cosTheta_O	@	inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

Compiler

Compiled 13730 to 8855 computations (35.5% saved)

rewrite2.2s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

144×	`egg-rr`
58×	`egg-rr`
29×	`egg-rr`

Counts

3 → 231

Calls

Call 1

Inputs
(sinh.f64 (pow.f64 v -1))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

Inputs

(sinh.f64 (pow.f64 v -1))

(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))

(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

Outputs
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Outputs

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simplify7.1s (4.7%)

Algorithm

1×

egglog

Counts

265 → 326

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1 v)
(+.f64 (/.f64 1 v) (*.f64 1/6 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (.f64 1/120 (pow.f64 (/.f64 1 v) 5))))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 1/5040 (pow.f64 (/.f64 1 v) 7)) (*.f64 1/120 (pow.f64 (/.f64 1 v) 5)))))
(/.f64 1 v)
(+.f64 (/.f64 1 v) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (.f64 -1/6 (pow.f64 (/.f64 -1 v) 3))))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (+.f64 (.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7)) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))))
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 1 v) 2))))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (+.f64 (.f64 1/2520 (pow.f64 (/.f64 1 v) 6)) (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 -1 v) 2))))
(+.f64 (.f64 1/2520 (pow.f64 (/.f64 -1 v) 6)) (+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(+.f64 (.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O))))) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
(+.f64 (.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 cosTheta_i (.f64 (+.f64 1/6 (.f64 1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2))) cosTheta_O)) (.f64 -1 (.f64 (pow.f64 sinTheta_O 2) (.f64 cosTheta_i (.f64 (pow.f64 sinTheta_i 2) cosTheta_O))))))) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))
(+.f64 (.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 cosTheta_i (.f64 (+.f64 1/6 (.f64 1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2))) cosTheta_O)) (.f64 -1 (.f64 (pow.f64 sinTheta_O 2) (.f64 cosTheta_i (.f64 (pow.f64 sinTheta_i 2) cosTheta_O))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (+.f64 1/6 (.f64 1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2))) cosTheta_O))))) (+.f64 (.f64 cosTheta_i (.f64 cosTheta_O (+.f64 (.f64 1/6 (pow.f64 (.f64 sinTheta_i sinTheta_O) 3)) (.f64 1/6 (.f64 sinTheta_i sinTheta_O))))) (.f64 -1 (.f64 sinTheta_i (.f64 sinTheta_O (+.f64 (.f64 cosTheta_i (.f64 (+.f64 1/6 (.f64 1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2))) cosTheta_O)) (.f64 -1 (.f64 (pow.f64 sinTheta_O 2) (.f64 cosTheta_i (*.f64 (pow.f64 sinTheta_i 2) cosTheta_O)))))))))) (pow.f64 (/.f64 1 v) 4))))))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(+.f64 (.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (pow.f64 (/.f64 -1 v) 2) cosTheta_O))))) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(if (!=.f64 2 0) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(sinh.f64 (pow.f64 v -1))
(*.f64 1/2 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(sinh.f64 (pow.f64 v -1))
(/.f64 1 v)
(pow.f64 v -1)
(+.f64 (/.f64 1 v) (*.f64 1/6 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (pow.f64 v -1) (/.f64 1/6 (pow.f64 v 3)))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (.f64 1/120 (pow.f64 (/.f64 1 v) 5))))
(+.f64 (pow.f64 v -1) (+.f64 (/.f64 1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 (pow.f64 v -1) 5))))
(+.f64 (/.f64 1 v) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 1/5040 (pow.f64 (/.f64 1 v) 7)) (*.f64 1/120 (pow.f64 (/.f64 1 v) 5)))))
(+.f64 (pow.f64 v -1) (+.f64 (/.f64 1/6 (pow.f64 v 3)) (fma.f64 1/5040 (pow.f64 (pow.f64 v -1) 7) (*.f64 1/120 (pow.f64 (pow.f64 v -1) 5)))))
(/.f64 1 v)
(pow.f64 v -1)
(+.f64 (/.f64 1 v) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))
(+.f64 (pow.f64 v -1) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3))))
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(fma.f64 -1/120 (pow.f64 (/.f64 -1 v) 5) (+.f64 (pow.f64 v -1) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3)))))
(+.f64 (.f64 -1/120 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (/.f64 1 v) (+.f64 (.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7)) (*.f64 -1/6 (pow.f64 (/.f64 -1 v) 3)))))
(fma.f64 -1/120 (pow.f64 (/.f64 -1 v) 5) (+.f64 (pow.f64 v -1) (fma.f64 -1/5040 (pow.f64 (/.f64 -1 v) 7) (*.f64 -1/6 (/.f64 -1 (pow.f64 v 3))))))
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
(*.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) v)
2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))
(+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 1 v) 2))))
(fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3)))
(+.f64 (.f64 1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 2 (+.f64 (.f64 1/2520 (pow.f64 (/.f64 1 v) 6)) (*.f64 1/3 (pow.f64 (/.f64 1 v) 2)))))
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2
(+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))
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(+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (.f64 1/3 (pow.f64 (/.f64 -1 v) 2))))
(fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3)))
(+.f64 (.f64 1/2520 (pow.f64 (/.f64 -1 v) 6)) (+.f64 (.f64 1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 2 (*.f64 1/3 (pow.f64 (/.f64 -1 v) 2)))))
(fma.f64 1/2520 (pow.f64 (/.f64 -1 v) 6) (fma.f64 1/60 (pow.f64 (pow.f64 v -1) 4) (+.f64 2 (/.f64 (/.f64 (pow.f64 v -1) v) 3))))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
(+.f64 (.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O))))) (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))
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(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
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(fma.f64 -1/2 (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (/.f64 (pow.f64 v -1) v) cosTheta_O)))) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2))
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(fma.f64 -1/2 (.f64 (pow.f64 (pow.f64 v -1) 4) (fma.f64 sinTheta_i (.f64 sinTheta_O (.f64 cosTheta_i (.f64 cosTheta_O (+.f64 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2) (fma.f64 -1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2) -1/6))))) (fma.f64 cosTheta_i (.f64 (fma.f64 -1/6 (pow.f64 (neg.f64 (.f64 sinTheta_i sinTheta_O)) 3) (.f64 1/6 (.f64 sinTheta_i sinTheta_O))) cosTheta_O) (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (fma.f64 -1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2) -1/6) cosTheta_O))))))) (+.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 -1 (pow.f64 v 3)) (fma.f64 cosTheta_i (.f64 (fma.f64 -1/2 (pow.f64 (.f64 sinTheta_i sinTheta_O) 2) -1/6) cosTheta_O) (.f64 (pow.f64 sinTheta_O 2) (.f64 cosTheta_i (.f64 (pow.f64 sinTheta_i 2) cosTheta_O))))) (.f64 sinTheta_i (.f64 cosTheta_i (.f64 sinTheta_O (.f64 (/.f64 (pow.f64 v -1) v) cosTheta_O)))))) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)))
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(if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) cosTheta_O)) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 v (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)))) cosTheta_O)) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v)) (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) 0) (/.f64 1 (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (/.f64 (.f64 cosTheta_O cosTheta_i) v))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (pow.f64 v -1) 0) (/.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 v -1))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (pow.f64 v -1) 0) (/.f64 (.f64 cosTheta_i cosTheta_O) (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (pow.f64 v -1))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) -1)) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))) 0) (pow.f64 (/.f64 1 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1))))) -1) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 2 0) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 2 0) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))

eval448.0ms (0.3%)

Compiler: Compiled 26626 to 12373 computations (53.5% saved)

prune357.0ms (0.2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	744	37	781
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	745	38	783

Error

0.0b

Counts

783 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	2.0b	(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
	2.0b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 v (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)))) (.f64 cosTheta_i cosTheta_O))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
	0.9b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) 3)
	0.6b	(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (cbrt.f64 v) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (pow.f64 v 2)))
	0.5b	(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)))
	0.5b	(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) v)
	0.5b	(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i (cbrt.f64 (pow.f64 cosTheta_O 2))) 0) (/.f64 (cbrt.f64 cosTheta_O) (/.f64 v (.f64 cosTheta_i (cbrt.f64 (pow.f64 cosTheta_O 2))))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) 0) (/.f64 (.f64 cosTheta_i (cbrt.f64 cosTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 cosTheta_O 2)))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
▶	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 (/.f64 cosTheta_i (cbrt.f64 v)) cosTheta_O) (cbrt.f64 (pow.f64 v 2)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3))
	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3))
	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (/.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 2)) (cbrt.f64 4)))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3) 2) v))
	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v))
	1.1b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) 2) v))
▶	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3))))
✓	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v))))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_O v) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	25.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)))
	0.5b	(.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v))))
▶	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
▶	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
	0.5b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
▶	0.5b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))
	0.6b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O (neg.f64 v))) (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) 2)) v)))

Compiler

Compiled 2481 to 1703 computations (31.4% saved)

localize64.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
✓	0.2b	(*.f64 v (sinh.f64 (pow.f64 v -1)))
✓	0.3b	(/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1)))))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 95 to 48 computations (49.5% saved)

series157.0ms (0.1%)

Counts

3 → 34

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	sinTheta_O	@	inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
2.0ms	sinTheta_i	@	-inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
2.0ms	cosTheta_O	@	inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
2.0ms	cosTheta_O	@	0	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
2.0ms	sinTheta_i	@	inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))

Compiler

Compiled 13870 to 8975 computations (35.3% saved)

rewrite2.3s (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`egg-rr`
115×	`egg-rr`
34×	`egg-rr`

Counts

3 → 267

Calls

Call 1

Inputs
(/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1)))))
(*.f64 v (sinh.f64 (pow.f64 v -1)))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))

Inputs

(/.f64 (/.f64 -1 v) (*.f64 -2 (*.f64 v (sinh.f64 (pow.f64 v -1)))))

(*.f64 v (sinh.f64 (pow.f64 v -1)))

(*.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (*.f64 -2 (*.f64 v (sinh.f64 (pow.f64 v -1))))))

Outputs
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simplify5.6s (3.7%)

Algorithm

1×

egglog

Counts

301 → 363

Calls

Call 1

Inputs
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(.f64 1/2 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 1/2 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 1/2 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 1/2 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 (/.f64 1 v) 2)))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 (/.f64 1 v) 4)) (.f64 1/6 (pow.f64 (/.f64 1 v) 2))))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 (/.f64 1 v) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 2)) (*.f64 1/5040 (pow.f64 (/.f64 1 v) 6)))))
1
(+.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 v) 2)) 1)
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(if (!=.f64 0 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (.f64 -2 (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 v (sinh.f64 (pow.f64 v -1))))) 2) (.f64 0 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (.f64 -2 (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))))) (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 -1 v) 0) (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) 1/2))) (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
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Outputs
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 1/2 v)
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(+.f64 (/.f64 1/2 v) (/.f64 -1/12 (pow.f64 v 3)))
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(+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3))))
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(/.f64 1/2 v)
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(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 1/2 v))
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(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (/.f64 1/2 v)))
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(*.f64 v (sinh.f64 (pow.f64 v -1)))
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(*.f64 v (sinh.f64 (pow.f64 v -1)))
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(*.f64 v (sinh.f64 (pow.f64 v -1)))
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(*.f64 v (sinh.f64 (pow.f64 v -1)))
1
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(-.f64 (fma.f64 1/120 (pow.f64 (/.f64 -1 v) 4) (fma.f64 1/6 (/.f64 (pow.f64 v -1) v) (*.f64 1/5040 (pow.f64 (pow.f64 v -1) 6)))) -1)
1
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(if (!=.f64 (/.f64 -1 v) 0) (/.f64 (.f64 cosTheta_i cosTheta_O) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v) (sinh.f64 (pow.f64 v -1))) (/.f64 1/2 v))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(+.f64 (/.f64 0 (.f64 (.f64 -2 (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(+.f64 0 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
	0.2b	(/.f64 (*.f64 cosTheta_i cosTheta_O) v)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series11.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 1290 to 400 computations (69% saved)

rewrite2.2s (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

130× egg-rr

Counts

1 → 130

Calls

Call 1

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

Outputs
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Outputs

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simplify4.1s (2.8%)

Algorithm

1×

egglog

Counts

166 → 159

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2)) (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))))
(.f64 (sqrt.f64 1/2) (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) (sqrt.f64 1/2)) v))
(.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))))
(.f64 (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) (sqrt.f64 1/2)) v) (sqrt.f64 1/2))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 8)))
(.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 8)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
(.f64 (.f64 cosTheta_i cosTheta_O) (/.f64 1/2 v))
(.f64 (cbrt.f64 1/2) (/.f64 (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i cosTheta_O)) v))
(.f64 (/.f64 (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 1/2))
(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))
(.f64 -1 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2))
(.f64 -1 (/.f64 (.f64 1/2 (*.f64 cosTheta_i cosTheta_O)) (neg.f64 v)))
(.f64 -1 (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v))))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) -1/2)
(.f64 -1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)))
(.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(.f64 (.f64 1/2 (*.f64 cosTheta_i cosTheta_O)) (pow.f64 v -1))
(.f64 (pow.f64 v -1) (.f64 1/2 (*.f64 cosTheta_i cosTheta_O)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (/.f64 1/2 (cbrt.f64 (pow.f64 v 2))))
(.f64 (.f64 cosTheta_i (*.f64 cosTheta_O -1/2)) (/.f64 -1 v))
(.f64 (/.f64 (.f64 1/2 (*.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (/.f64 1 (cbrt.f64 (pow.f64 v 2))))
(.f64 (cbrt.f64 1/4) (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 1/2)) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1)
(.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 v 2))) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)))
(.f64 (/.f64 (.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 1/2)) v) (cbrt.f64 1/4))
(-.f64 (/.f64 (/.f64 0 (neg.f64 v)) 2) (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2))
(-.f64 (/.f64 0 (neg.f64 v)) (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (neg.f64 v)))
(-.f64 (/.f64 0 (.f64 v -2)) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 v -2)))
(-.f64 (/.f64 0 (.f64 2 (neg.f64 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 2 (neg.f64 v))))
(-.f64 (/.f64 0 (+.f64 v v)) (/.f64 (*.f64 (neg.f64 cosTheta_i) cosTheta_O) (+.f64 v v)))
(-.f64 (/.f64 0 (.f64 2 v)) (/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (*.f64 2 v)))
(-.f64 0 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2))
(-.f64 0 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (neg.f64 v)))
(-.f64 0 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v))))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 (pow.f64 v 2)) 2)) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)))) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O))) (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (cbrt.f64 v))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2)) (cbrt.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)))) (cbrt.f64 v))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (cbrt.f64 v)) (cbrt.f64 v))
(/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 v))
(/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) 1/2) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v))) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) v)
(/.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) (neg.f64 v))
(/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 cosTheta_i cosTheta_O) (sqrt.f64 1/2)) v) (sqrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (cbrt.f64 v))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2) (.f64 1/2 (.f64 cosTheta_i cosTheta_O)))) (cbrt.f64 v))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) 3) (pow.f64 v 2))) (cbrt.f64 v))
(/.f64 (cbrt.f64 (.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (neg.f64 (cbrt.f64 v)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2) (.f64 cosTheta_i (.f64 cosTheta_O -1/2)))) (neg.f64 (cbrt.f64 v)))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (.f64 (cbrt.f64 (pow.f64 v 2)) 2))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (.f64 2 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O)) (.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)))) (neg.f64 (cbrt.f64 v)))
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1)
(/.f64 (/.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) (cbrt.f64 v)) (neg.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (cbrt.f64 (.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (cbrt.f64 (+.f64 v v)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2) (*.f64 cosTheta_i cosTheta_O))) (cbrt.f64 (+.f64 v v)))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 (pow.f64 v 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 v 2))) 2))
(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2) (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)))) (cbrt.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 v -2))
(/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 2 (neg.f64 v)))
(pow.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))) 3)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 3))
(neg.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (neg.f64 v)))
(neg.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v))))
(neg.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2))
(neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v -2)))
(neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 (neg.f64 v))))
(neg.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (neg.f64 (cbrt.f64 (pow.f64 v 2)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2) 1))
(neg.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (neg.f64 v)) 1))
(neg.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v))) 1))
(neg.f64 (/.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) v))
(neg.f64 (/.f64 (*.f64 (neg.f64 cosTheta_i) cosTheta_O) (+.f64 v v)))
(neg.f64 (/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 2 v)))
(neg.f64 (.f64 1 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) 2)))
(neg.f64 (.f64 1 (/.f64 (.f64 1/2 (*.f64 cosTheta_i cosTheta_O)) (neg.f64 v))))
(neg.f64 (.f64 1 (.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (/.f64 (*.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))
(neg.f64 (.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) (sqrt.f64 2))))
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Outputs
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(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2)) 0) (/.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (/.f64 (+.f64 v v) (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2)))) (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2)) 0) (/.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (/.f64 v (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) -1)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) -1)) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)))
(+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v))) (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v))
(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v))

localize59.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))
✓	0.2b	(.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))
✓	0.2b	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 98 to 32 computations (67.3% saved)

series253.0ms (0.2%)

Counts

3 → 56

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	sinTheta_i	@	0	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
3.0ms	sinTheta_O	@	0	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
3.0ms	sinTheta_i	@	inf	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
2.0ms	cosTheta_i	@	0	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
2.0ms	cosTheta_i	@	inf	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))

Compiler

Compiled 25580 to 16100 computations (37.1% saved)

rewrite2.1s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

91×	`egg-rr`
84×	`egg-rr`
80×	`egg-rr`

Counts

3 → 255

Calls

Call 1

Inputs

(/.f64 cosTheta_i (*.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))

(*.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))

(*.f64 (/.f64 cosTheta_i (*.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))

Outputs

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simplify7.8s (5.2%)

Algorithm

1×

egglog

Counts

311 → 370

Calls

Call 1

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

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

localize74.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v)
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
	0.9b	(sinh.f64 (/.f64 1 v))
✓	27.7b	(cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))

Compiler

Compiled 118 to 46 computations (61% saved)

series201.0ms (0.1%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	cosTheta_i	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
1.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
1.0ms	cosTheta_i	@	0	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
1.0ms	cosTheta_O	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)
1.0ms	cosTheta_O	@	0	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)

Compiler

Compiled 16985 to 13165 computations (22.5% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

122×	`egg-rr`
63×	`egg-rr`

Counts

2 → 185

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 3)

Outputs

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(*.f64 cosTheta_i cosTheta_O) (neg.f64 v)))))) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 -1 v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) (*.f64 1/2 (/.f64 (*.f64 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 v) 0) (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1/2) (*.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 cosTheta_i cosTheta_O) v))))))

simplify3.5s (2.3%)

Algorithm

1×

egglog

Counts

185 → 218

Calls

Call 1

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

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

localize103.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v)
✓	0.4b	(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))
✓	0.5b	(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 151 to 88 computations (41.7% saved)

series65.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (.f64 (.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v)
1.0ms	v	@	0	(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))
1.0ms	v	@	0	(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))
0.0ms	v	@	inf	(.f64 (.f64 (.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v)
0.0ms	v	@	-inf	(.f64 (.f64 (.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v)

Compiler

Compiled 4050 to 3650 computations (9.9% saved)

rewrite2.1s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

132×	`egg-rr`
109×	`egg-rr`
60×	`egg-rr`

Counts

3 → 301

Calls

Call 1

Inputs

(*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))

(*.f64 (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2))

(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))) (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (*.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (+.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))) (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v 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#<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (+.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 2 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (neg.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))) (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) 1) (/.f64 (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) -3) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 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egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) 1/2) (sqrt.f64 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (/.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (sqrt.f64 1/2)) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))) (*.f64 (cbrt.f64 4) 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(2) ((x /.f64 (*.f64 v (*.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (*.f64 2 v)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 0) (pow.f64 (/.f64 1 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) -1) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2))))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 3) (pow.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))))))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 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(pow.f64 v -1)) (*.f64 2 v)) 1/2) (+.f64 1 (/.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 0) (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2)) (*.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2))))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 3) (pow.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))) (*.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))))))) (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))) (*.f64 1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2) (*.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)) 1/2))))))

simplify6.2s (4.1%)

Algorithm

1×

egglog

Counts

329 → 421

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(*.f64 2 (/.f64 (sqrt.f64 1/2) v))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (+.f64 (.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 5))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2)))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (+.f64 (.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 5))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2))) (.f64 1/2520 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 7))))))
(*.f64 2 (/.f64 (sqrt.f64 1/2) v))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (*.f64 2 (/.f64 (sqrt.f64 1/2) v)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5)))))
(+.f64 (.f64 -1/2520 (.f64 (pow.f64 (/.f64 -1 v) 7) (sqrt.f64 1/2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5))))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/60 (.f64 (pow.f64 (/.f64 1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))))
(+.f64 (.f64 1/2520 (.f64 (pow.f64 (/.f64 1 v) 7) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/60 (.f64 (pow.f64 (/.f64 1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))))
(*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))
(+.f64 (.f64 -1/60 (.f64 (pow.f64 (/.f64 -1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))))
(+.f64 (.f64 -1/2520 (.f64 (pow.f64 (/.f64 -1 v) 7) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/60 (.f64 (pow.f64 (/.f64 -1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))))
(.f64 (cbrt.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (*.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 2 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 2) (.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 2 (.f64 1/2 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (+.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2)))))
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(if (!=.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 0) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (+.f64 1 (/.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))))) (.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3) (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3) (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(+.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))
(+.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))

Outputs
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))
(*.f64 2 (/.f64 (sqrt.f64 1/2) v))
(/.f64 (*.f64 2 (sqrt.f64 1/2)) v)
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2))))
(fma.f64 2 (/.f64 (sqrt.f64 1/2) v) (*.f64 (/.f64 1/3 (pow.f64 v 3)) (sqrt.f64 1/2)))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (+.f64 (.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 5))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2)))))
(fma.f64 2 (/.f64 (sqrt.f64 1/2) v) (fma.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (pow.f64 v -1) 5)) (.f64 (/.f64 1/3 (pow.f64 v 3)) (sqrt.f64 1/2))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (+.f64 (.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 5))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (sqrt.f64 1/2))) (.f64 1/2520 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 1 v) 7))))))
(fma.f64 2 (/.f64 (sqrt.f64 1/2) v) (fma.f64 1/60 (.f64 (sqrt.f64 1/2) (pow.f64 (pow.f64 v -1) 5)) (fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (pow.f64 v 3)) (.f64 1/2520 (*.f64 (sqrt.f64 1/2) (pow.f64 (pow.f64 v -1) 7))))))
(*.f64 2 (/.f64 (sqrt.f64 1/2) v))
(/.f64 (*.f64 2 (sqrt.f64 1/2)) v)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (*.f64 2 (/.f64 (sqrt.f64 1/2) v)))
(fma.f64 -1/3 (.f64 (/.f64 -1 (pow.f64 v 3)) (sqrt.f64 1/2)) (/.f64 (.f64 2 (sqrt.f64 1/2)) v))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5)))))
(fma.f64 -1/3 (.f64 (/.f64 -1 (pow.f64 v 3)) (sqrt.f64 1/2)) (fma.f64 2 (/.f64 (sqrt.f64 1/2) v) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5)))))
(+.f64 (.f64 -1/2520 (.f64 (pow.f64 (/.f64 -1 v) 7) (sqrt.f64 1/2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (sqrt.f64 1/2))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) v)) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5))))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2520 (pow.f64 (/.f64 -1 v) 7)) (.f64 -1/3 (/.f64 -1 (pow.f64 v 3))))) (fma.f64 2 (/.f64 (sqrt.f64 1/2) v) (.f64 -1/60 (*.f64 (sqrt.f64 1/2) (pow.f64 (/.f64 -1 v) 5)))))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(sinh.f64 (pow.f64 v -1))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(sinh.f64 (pow.f64 v -1))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(sinh.f64 (pow.f64 v -1))
(*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))
(sinh.f64 (pow.f64 v -1))
(*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))
(pow.f64 v -1)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))
(fma.f64 1/3 (/.f64 1/2 (pow.f64 v 3)) (pow.f64 v -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/60 (.f64 (pow.f64 (/.f64 1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 v 3)) (.f64 1/60 (pow.f64 (pow.f64 v -1) 5)))) (pow.f64 v -1))
(+.f64 (.f64 1/2520 (.f64 (pow.f64 (/.f64 1 v) 7) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 1/60 (.f64 (pow.f64 (/.f64 1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))))
(+.f64 (.f64 1/2 (+.f64 (.f64 1/2520 (pow.f64 (pow.f64 v -1) 7)) (/.f64 1/3 (pow.f64 v 3)))) (fma.f64 1/60 (*.f64 1/2 (pow.f64 (pow.f64 v -1) 5)) (pow.f64 v -1)))
(*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))
(pow.f64 v -1)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))
(fma.f64 -1/3 (*.f64 1/2 (/.f64 -1 (pow.f64 v 3))) (pow.f64 v -1))
(+.f64 (.f64 -1/60 (.f64 (pow.f64 (/.f64 -1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v))))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 -1 v) 5)) (*.f64 -1/3 (/.f64 -1 (pow.f64 v 3))))) (pow.f64 v -1))
(+.f64 (.f64 -1/2520 (.f64 (pow.f64 (/.f64 -1 v) 7) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/60 (.f64 (pow.f64 (/.f64 -1 v) 5) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 -1 v) 3) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) v)))))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1/2520 (pow.f64 (/.f64 -1 v) 7)) (.f64 -1/60 (pow.f64 (/.f64 -1 v) 5)))) (fma.f64 -1/3 (.f64 1/2 (/.f64 -1 (pow.f64 v 3))) (pow.f64 v -1)))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(.f64 2 (.f64 v (*.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))))
(.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) 3)))
(.f64 (cbrt.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) 4) (sqrt.f64 1/8)) (.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (*.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (sqrt.f64 1/8))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) 4) (sqrt.f64 1/8)) (.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) 3)))
(.f64 2 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 (cbrt.f64 2) (.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (cbrt.f64 (*.f64 4 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (cbrt.f64 (*.f64 4 2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)))
(/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 2 (.f64 1/2 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (+.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))) (+.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 8)))
(.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 8))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)) (+.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) 2)))) (+.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 1 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) 1)
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 4))
(.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (.f64 (sqrt.f64 1/2) 4)))
(.f64 (cbrt.f64 1/2) (+.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 -1 (neg.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) -1)
(*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 2 (sinh.f64 (pow.f64 v -1))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
(-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1))) (neg.f64 (.f64 (sqrt.f64 1/2) (sinh.f64 (pow.f64 v -1)))))
(.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 (sqrt.f64 1/2)))
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(pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 3) 1/3)
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1)
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3)
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(cbrt.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 3))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(neg.f64 (neg.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) 3))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 0) (pow.f64 (/.f64 1 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) -1) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 0) (/.f64 1 (/.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) (.f64 2 v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3) (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 3)) (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2)) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3) (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 3)) (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2)) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (-.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))) (-.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 0 0) 0 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))) (-.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 0 0) 0 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 0) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (+.f64 1 (/.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)))) (.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 0) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (+.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (.f64 (sinh.f64 (pow.f64 v -1)) v)))) (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 0) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (+.f64 1 (/.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))))) (.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 2 v)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 0) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (+.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (.f64 (sinh.f64 (pow.f64 v -1)) v)))) (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3) (pow.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2)) (.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 3)) (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2)) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3) (pow.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (-.f64 (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))) (.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))))) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)))
(if (!=.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 3)) (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2)) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(+.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(+.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 2 v)) 1/2))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))

eval1.2s (0.8%)

Compiler: Compiled 75138 to 39881 computations (46.9% saved)

prune848.0ms (0.6%)

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	1904	43	1947
Fresh	8	24	32
Picked	1	0	1
Done	2	3	5
Total	1915	70	1985

Error

0.0b

Counts

1985 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	2.0b	(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 (/.f64 v cosTheta_i) cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 2 v)))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	28.3b	(if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 (+.f64 v v) cosTheta_i)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	0.5b	(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 v cosTheta_O) (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1))))))
	28.3b	(if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 (+.f64 v v) cosTheta_O)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	0.9b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))))) 3)
	28.3b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))) 3)
	0.6b	(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (cbrt.f64 v) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (pow.f64 v 2)))
	0.5b	(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (sinh.f64 (pow.f64 v -1))) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
▶	28.3b	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
	0.5b	(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (*.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O v)) (sinh.f64 (pow.f64 v -1)))
▶	0.5b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i) 0) (/.f64 (cbrt.f64 cosTheta_O) (/.f64 v (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 v -1)) (.f64 cosTheta_i cosTheta_O))) (cbrt.f64 (cbrt.f64 (pow.f64 v 2)))) 3)) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (.f64 (cbrt.f64 cosTheta_O) (cbrt.f64 (/.f64 cosTheta_i v))) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
✓	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (-.f64 0 (.f64 (neg.f64 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (neg.f64 (pow.f64 v 2)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) v) (.f64 v (cbrt.f64 (pow.f64 v 2))))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 (/.f64 cosTheta_i (cbrt.f64 v)) cosTheta_O) (cbrt.f64 (pow.f64 v 2)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3))
	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3))
	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (/.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 2)) (cbrt.f64 4)))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3) 2) v))
▶	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v))
	1.1b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) v) (sqrt.f64 2)))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3))))
✓	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v))))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_O v) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	25.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	28.3b	(/.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) (neg.f64 v))
	0.5b	(/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)))
	28.3b	(/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) v)
	28.3b	(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
	28.3b	(.f64 (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) -1) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 1/2)
	31.1b	(.f64 (if (!=.f64 (/.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) v) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 1/2)
	28.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3) 1/2)
	0.5b	(*.f64 (/.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (sinh.f64 (pow.f64 v -1))) (/.f64 cosTheta_O v))
	0.5b	(.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3))) 1/2)
✓	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
	0.7b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (pow.f64 (cbrt.f64 (.f64 v (sinh.f64 (pow.f64 v -1)))) 3))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)))))
	0.7b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 1 (+.f64 1 (/.f64 (neg.f64 (/.f64 -1/2 (*.f64 v (sinh.f64 (pow.f64 v -1))))) (neg.f64 v)))))
▶	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
	0.5b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
	0.5b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3))) (/.f64 cosTheta_O v))
	0.7b	(.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) (/.f64 cosTheta_O v))
	0.5b	(.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 cosTheta_O v) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
	28.3b	(*.f64 (/.f64 cosTheta_i 2) (/.f64 cosTheta_O v))
	28.3b	(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))
	0.5b	(.f64 (/.f64 -1 v) (.f64 (/.f64 -1/2 (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
	0.5b	(.f64 (.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) cosTheta_O) (/.f64 1 (*.f64 (sinh.f64 (pow.f64 v -1)) v)))
	0.5b	(.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))
	0.5b	(.f64 (.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 cosTheta_O v))
▶	28.3b	(.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) 1/2)
	0.4b	(.f64 cosTheta_O (.f64 (pow.f64 v -1) (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (*.f64 (sinh.f64 (pow.f64 v -1)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
	28.3b	(neg.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) (cbrt.f64 2)) (cbrt.f64 1/4)))
	31.7b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 3))

Compiler

Compiled 3923 to 2692 computations (31.4% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
✓	0.4b	(.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2))
✓	0.4b	(/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1)))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 98 to 52 computations (46.9% saved)

series98.0ms (0.1%)

Counts

3 → 30

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_O	@	0	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
1.0ms	sinTheta_i	@	inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
1.0ms	cosTheta_i	@	0	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
1.0ms	v	@	-inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
1.0ms	sinTheta_O	@	inf	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))

Compiler

Compiled 13950 to 9055 computations (35.1% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

81×	`egg-rr`
76×	`egg-rr`
51×	`egg-rr`

Counts

3 → 208

Calls

Call 1

Inputs

(/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1)))

(*.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (*.f64 (pow.f64 v -1) -1/2))

(*.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (*.f64 (pow.f64 v -1) -1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 v)) (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 v)) 2) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 v) (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1) (/.f64 -1 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 (pow.f64 v -1))) (pow.f64 v -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 v) (pow.f64 (sinh.f64 (pow.f64 v -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) (/.f64 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 v -1) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 0 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1) (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1) (sinh.f64 (pow.f64 v -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v))) (/.f64 (pow.f64 v -1) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1)))) (/.f64 (pow.f64 v -1) (sinh.f64 (pow.f64 v -1))))))) 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simplify4.7s (3.1%)

Algorithm

1×

egglog

Counts

238 → 293

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 1/6 (pow.f64 (/.f64 1 v) 2)) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 2)) (.f64 -7/360 (pow.f64 (/.f64 1 v) 4))) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 2)) (+.f64 (.f64 -7/360 (pow.f64 (/.f64 1 v) 4)) (*.f64 31/15120 (pow.f64 (/.f64 1 v) 6)))) 1)
-1
(-.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 v) 2)) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (/.f64 -1 v) 2)) (.f64 -7/360 (pow.f64 (/.f64 -1 v) 4))) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (/.f64 -1 v) 2)) (+.f64 (.f64 31/15120 (pow.f64 (/.f64 -1 v) 6)) (*.f64 -7/360 (pow.f64 (/.f64 -1 v) 4)))) 1)
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
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Outputs
-1
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(-.f64 (+.f64 (.f64 1/6 (pow.f64 (/.f64 1 v) 2)) (.f64 -7/360 (pow.f64 (/.f64 1 v) 4))) 1)
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(if (!=.f64 2 0) (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))))
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(if (!=.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 -1/2 (pow.f64 v 2))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (sinh.f64 (pow.f64 v -1))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))))
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(if (!=.f64 0 0) (/.f64 (-.f64 0 (pow.f64 (.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))) 3)) (+.f64 0 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 1/2 v) (.f64 (sinh.f64 (pow.f64 v -1)) v))) 2) (.f64 0 (.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))))) (.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))) 3) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))) 2)) (/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1))))
(+.f64 0 (.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))
(/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1)))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) 1/2)
✓	0.1b	(*.f64 (/.f64 cosTheta_i v) cosTheta_O)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series12.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

Compiler

Compiled 2190 to 400 computations (81.7% saved)

rewrite2.2s (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

125×	`egg-rr`
109×	`egg-rr`

Counts

2 → 234

Calls

Call 1

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

Outputs

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simplify5.9s (4%)

Algorithm

1×

egglog

Counts

306 → 249

Calls

Call 1

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

localize58.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v)
✓	0.2b	(.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O))
✓	0.2b	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

series85.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_i	@	0	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
6.0ms	cosTheta_O	@	0	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
6.0ms	v	@	0	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
2.0ms	cosTheta_O	@	inf	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
2.0ms	v	@	inf	(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))

Compiler

Compiled 4170 to 2850 computations (31.7% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

210×	`egg-rr`
152×	`egg-rr`
109×	`egg-rr`
101×	`egg-rr`

Counts

4 → 572

Calls

Call 1

Inputs
(cbrt.f64 2)
(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
(.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O))
(/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v)

Outputs
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simplify10.4s (7%)

Algorithm

1×

egglog

Counts

668 → 670

Calls

Call 1

Inputs
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
(/.f64 (.f64 cosTheta_i (.f64 (cbrt.f64 1/4) cosTheta_O)) (*.f64 v (cbrt.f64 2)))
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(if (!=.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4)) 0) (/.f64 (.f64 1/4 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 3)) (.f64 (cbrt.f64 1/16) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2))) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4)))
(+.f64 (/.f64 0 (neg.f64 v)) (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 1/2 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)) (.f64 1/2 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 2/3 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)) (.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)) (.f64 2/3 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 0 (/.f64 -1 v)) (/.f64 (.f64 (*.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/2) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/2))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 2/3) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/3))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/3) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 2/3))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (.f64 (/.f64 -1 v) 0) (/.f64 (.f64 (*.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (/.f64 0 (neg.f64 v)) (.f64 (/.f64 (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i (neg.f64 cosTheta_O))) v) -1))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i (neg.f64 cosTheta_O))) v)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 -1 (+.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 3) 3)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1) 1)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/3) 1/3)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 1/9) 1/9)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 0 (neg.f64 v)) 0) (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 (/.f64 0 (neg.f64 v)) (/.f64 0 v)) (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (-.f64 0 (/.f64 0 v)) (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 0 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) 0)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))
(+.f64 0 (.f64 (/.f64 (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i (neg.f64 cosTheta_O))) v) -1))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 1/4))

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
	0.2b	(.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))
	0.2b	(/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 114 to 38 computations (66.7% saved)

series71.0ms (0%)

Counts

1 → 10

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	inf	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
1.0ms	sinTheta_i	@	inf	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
0.0ms	sinTheta_i	@	0	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
0.0ms	sinTheta_O	@	0	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
0.0ms	v	@	inf	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)

Compiler

Compiled 12090 to 7475 computations (38.2% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

72× egg-rr

Counts

1 → 72

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)

Outputs

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simplify2.7s (1.8%)

Algorithm

1×

egglog

Counts

82 → 111

Calls

Call 1

Inputs
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(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
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(neg.f64 (.f64 (/.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1)))) v) 1))
(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 v cosTheta_O)) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))
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(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 1 (/.f64 (/.f64 v cosTheta_O) (/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 cosTheta_O (/.f64 v (/.f64 cosTheta_i (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) -1)) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 2 0) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))))

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

localize51.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v)
✓	0.5b	(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
✓	0.8b	(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 119 to 57 computations (52.1% saved)

series104.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
1.0ms	v	@	0	(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v)
1.0ms	v	@	inf	(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v)
1.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
1.0ms	v	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v)

Compiler

Compiled 8190 to 6485 computations (20.8% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`egg-rr`
71×	`egg-rr`
39×	`egg-rr`

Counts

3 → 318

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v)

Outputs

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simplify5.2s (3.5%)

Algorithm

1×

egglog

Counts

330 → 427

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2)))
(.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2)))
(.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2)))
(.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (cbrt.f64 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (cbrt.f64 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (cbrt.f64 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (cbrt.f64 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(.f64 2 (.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 v (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))))
(.f64 (.f64 2 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 v (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2))))
(.f64 2 (.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 v (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))))
(.f64 (.f64 2 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 v (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2))))
(.f64 2 (.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 v (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))))
(.f64 (.f64 2 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 v (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2))))
(.f64 2 (.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) (.f64 v (.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))) 1/3) 2) (cbrt.f64 1/2))))))
(.f64 (.f64 2 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 v (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(*.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(sinh.f64 (pow.f64 v -1))
(.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) -2))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) 2) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (neg.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (neg.f64 (sqrt.f64 2))))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (sqrt.f64 2)))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 4)) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 2)))
(sinh.f64 (pow.f64 v -1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) 2) (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 (cbrt.f64 1/2) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 1/2)) (cbrt.f64 1/2))
(.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 1 (/.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (*.f64 (exp.f64 (pow.f64 v -1)) 1/2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (pow.f64 v -1)) -2)) (*.f64 2 (exp.f64 (/.f64 -1 v))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))) (-.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) 2) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2))) 2))
(.f64 (+.f64 (sqrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))))
(-.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2))) 2))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (-.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) 2) (*.f64 (exp.f64 (/.f64 -1 v)) 1/2))
(.f64 (+.f64 (sqrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))))
(sinh.f64 (pow.f64 v -1))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (pow.f64 4 -1/3))
(.f64 (pow.f64 4 -1/3) (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 2)))
(*.f64 (sinh.f64 (pow.f64 v -1)) 1)
(sinh.f64 (pow.f64 v -1))
(.f64 (pow.f64 4 -1/3) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)))
(.f64 (pow.f64 4 -1/3) (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 2)))
(*.f64 1 (sinh.f64 (pow.f64 v -1)))
(sinh.f64 (pow.f64 v -1))
(.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2))
(sinh.f64 (pow.f64 v -1))
(*.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) -1)
(sinh.f64 (pow.f64 v -1))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) 2))
(sinh.f64 (pow.f64 v -1))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(*.f64 -1 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))))
(sinh.f64 (pow.f64 v -1))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2)
(sinh.f64 (pow.f64 v -1))
(.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1/2)
(sinh.f64 (pow.f64 v -1))
(.f64 1/2 (.f64 2 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(-.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))) 2) (/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) -3) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))) 2))
(/.f64 (-.f64 (exp.f64 (.f64 (pow.f64 v -1) -3)) (exp.f64 (.f64 (pow.f64 v -1) 3))) (*.f64 -2 (+.f64 (+.f64 (exp.f64 (/.f64 2 v)) (exp.f64 (/.f64 -2 v))) 1)))
(-.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 2) 4) (/.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) 4))
(sinh.f64 (pow.f64 v -1))
(-.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (.f64 2 (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1)))) (/.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) -3) (.f64 2 (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1)))))
(/.f64 (-.f64 (exp.f64 (.f64 (pow.f64 v -1) -3)) (exp.f64 (.f64 (pow.f64 v -1) 3))) (*.f64 -2 (+.f64 (+.f64 (exp.f64 (/.f64 2 v)) (exp.f64 (/.f64 -2 v))) 1)))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))))) (/.f64 (pow.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) 3) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) (*.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (pow.f64 v -1) 3)) 1/8) (.f64 1/8 (pow.f64 (exp.f64 (/.f64 -1 v)) 3))) (+.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1/4) (.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) (*.f64 (exp.f64 (/.f64 -1 v)) 1/2))))
(-.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (pow.f64 v -1)) -2))
(sinh.f64 (pow.f64 v -1))
(-.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(-.f64 (/.f64 0 -2) (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) 2) (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1)))
(/.f64 (-.f64 (exp.f64 (.f64 (pow.f64 v -1) -3)) (exp.f64 (.f64 (pow.f64 v -1) 3))) (*.f64 -2 (+.f64 (+.f64 (exp.f64 (/.f64 2 v)) (exp.f64 (/.f64 -2 v))) 1)))
(/.f64 (/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (pow.f64 4 2/3)))
(sinh.f64 (pow.f64 v -1))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (pow.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) 3)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (pow.f64 v -1) 3)) 1/8) (.f64 1/8 (pow.f64 (exp.f64 (/.f64 -1 v)) 3))) (+.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1/4) (.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) (*.f64 (exp.f64 (/.f64 -1 v)) 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (cbrt.f64 2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 8)))
(/.f64 (-.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 2) (/.f64 2 (exp.f64 (pow.f64 v -1)))) 4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 3) (pow.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) 3)) (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)) (.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (pow.f64 v -1) 3)) 1/8) (.f64 1/8 (pow.f64 (exp.f64 (/.f64 -1 v)) 3))) (+.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1/4) (.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) (*.f64 (exp.f64 (/.f64 -1 v)) 1/2))))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 4))
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 1 (.f64 2 (exp.f64 (pow.f64 v -1)))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) 1)) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (*.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (.f64 -2 (.f64 (sinh.f64 (pow.f64 v -1)) -2)) (/.f64 (*.f64 4 (exp.f64 (pow.f64 v -1))) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (sqrt.f64 2) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (sqrt.f64 2)))
(.f64 (-.f64 (sqrt.f64 2) (.f64 (.f64 2 (exp.f64 (/.f64 -1 v))) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/8) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 2 (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (exp.f64 (/.f64 -1 v)))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) 2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (cbrt.f64 2) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)))
(/.f64 (+.f64 (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (.f64 (exp.f64 (/.f64 -1 v)) -2)) (cbrt.f64 4))) (.f64 (.f64 2 (exp.f64 (/.f64 -1 v))) (cbrt.f64 2)))
(/.f64 (-.f64 -2 (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (neg.f64 (exp.f64 (/.f64 -1 v))))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) -2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (cbrt.f64 4) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)))
(/.f64 (+.f64 (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (.f64 (cbrt.f64 2) (exp.f64 (pow.f64 v -1))))) (.f64 (.f64 2 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 2)) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))))
(.f64 (-.f64 (sqrt.f64 2) (.f64 (.f64 2 (exp.f64 (/.f64 -1 v))) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/8) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 1 (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (.f64 (/.f64 2 (exp.f64 (pow.f64 v -1))) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (pow.f64 v -1)) -2)) (*.f64 2 (exp.f64 (/.f64 -1 v))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (.f64 2 (exp.f64 (pow.f64 v -1)))) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (.f64 (exp.f64 (pow.f64 v -1)) 2) (neg.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 8) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) 2)
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (exp.f64 (pow.f64 v -1)))) (sqrt.f64 2)) -1/2)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) 2) (.f64 (sqrt.f64 2) (exp.f64 (/.f64 -1 v)))) (sqrt.f64 8))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) 2) (*.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2))) (sqrt.f64 8))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (cbrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (*.f64 (sqrt.f64 2) (cbrt.f64 2)))
(/.f64 (fma.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) -2) (.f64 (sqrt.f64 2) (neg.f64 (exp.f64 (/.f64 -1 v))))) (*.f64 (sqrt.f64 2) -2))
(/.f64 (fma.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) -2 (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2))) (neg.f64 (sqrt.f64 8)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (cbrt.f64 4)) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (*.f64 (sqrt.f64 2) (cbrt.f64 4)))
(/.f64 (fma.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 2))) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (.f64 2 (exp.f64 (pow.f64 v -1)))) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (.f64 (exp.f64 (pow.f64 v -1)) 2) (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 8)) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) 2) (.f64 (neg.f64 (sqrt.f64 2)) (exp.f64 (/.f64 -1 v)))) (neg.f64 (sqrt.f64 8)))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) 2 (*.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2))) (neg.f64 (sqrt.f64 8)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (*.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)) (cbrt.f64 4))) (neg.f64 (.f64 (cbrt.f64 2) (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) -2) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (exp.f64 (/.f64 -1 v))))) (*.f64 (neg.f64 (sqrt.f64 2)) -2))
(.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) -2 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2)))) (sqrt.f64 1/8))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 4)) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (*.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 4)))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)) (cbrt.f64 2))) (neg.f64 (.f64 (cbrt.f64 4) (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) 2)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) -2)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) 1) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (/.f64 -1 v)) -1/2) (sqrt.f64 2)) (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 2 (exp.f64 (pow.f64 v -1)))) 1) (.f64 1 (*.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1) (*.f64 (exp.f64 (pow.f64 v -1)) 2))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (exp.f64 (/.f64 -1 v))) 2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 2)) (*.f64 1 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (cbrt.f64 2))
(/.f64 (fma.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 2) (/.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4))) (cbrt.f64 2))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 4)) (*.f64 1 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (cbrt.f64 4))
(/.f64 (fma.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 4) (/.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (neg.f64 (sqrt.f64 2))) (*.f64 1 (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (.f64 1/2 (sqrt.f64 2))) (*.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (.f64 2 (exp.f64 (pow.f64 v -1)))) 2) (.f64 2 (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (.f64 (exp.f64 (pow.f64 v -1)) 2) -2) (.f64 4 (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (.f64 2 (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (sqrt.f64 8))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (.f64 2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (*.f64 2 (cbrt.f64 2)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 4))) (.f64 2 (cbrt.f64 2)))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) -2) (.f64 2 (neg.f64 (exp.f64 (/.f64 -1 v))))) -4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (.f64 2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (*.f64 2 (cbrt.f64 4)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 2))) (.f64 (cbrt.f64 4) 2))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (.f64 2 (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (neg.f64 (sqrt.f64 8)))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (*.f64 2 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) 2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) (.f64 2 (exp.f64 (pow.f64 v -1)))) -2) (.f64 -2 (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (.f64 (exp.f64 (pow.f64 v -1)) 2) -2) (.f64 4 (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) (sqrt.f64 2)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (*.f64 -2 (sqrt.f64 2)))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) 2) (.f64 -2 (exp.f64 (/.f64 -1 v)))) -4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) -2) (.f64 -2 (neg.f64 (exp.f64 (/.f64 -1 v))))) 4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (*.f64 -2 (cbrt.f64 2)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 4))) (.f64 2 (cbrt.f64 2)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (*.f64 -2 (cbrt.f64 4)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 2))) (.f64 (cbrt.f64 4) 2))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (*.f64 -2 (neg.f64 (sqrt.f64 2))))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (.f64 2 (exp.f64 (pow.f64 v -1)))) (cbrt.f64 2)) (.f64 (cbrt.f64 2) (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (.f64 (exp.f64 (pow.f64 v -1)) 2) (neg.f64 (cbrt.f64 2))) (.f64 (*.f64 2 (cbrt.f64 2)) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (sqrt.f64 2)) (.f64 (cbrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (*.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (sqrt.f64 2) (.f64 (cbrt.f64 2) (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 1/2))))) (*.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) 2) (.f64 (cbrt.f64 2) (exp.f64 (/.f64 -1 v)))) (*.f64 (cbrt.f64 2) 2))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) 2 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (cbrt.f64 2)))) (.f64 2 (cbrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (cbrt.f64 2)) (.f64 (cbrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (cbrt.f64 4))
(/.f64 (/.f64 (-.f64 (.f64 (cbrt.f64 2) (exp.f64 (pow.f64 v -1))) (.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) -2) (.f64 (cbrt.f64 2) (neg.f64 (exp.f64 (/.f64 -1 v))))) (*.f64 (cbrt.f64 2) -2))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) -2 (.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2))) (.f64 (cbrt.f64 2) -2))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (cbrt.f64 4)) (.f64 (cbrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) 2)
(.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (cbrt.f64 2))) (cbrt.f64 2))) 1/2)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (neg.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (*.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (sqrt.f64 2) (.f64 (cbrt.f64 2) (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 1/2))))) (*.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) 1) (.f64 (cbrt.f64 2) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (cbrt.f64 2))
(/.f64 (-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (/.f64 (*.f64 (cbrt.f64 2) 1/2) (exp.f64 (pow.f64 v -1)))) (cbrt.f64 2))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (.f64 2 (exp.f64 (pow.f64 v -1)))) (cbrt.f64 4)) (.f64 (cbrt.f64 4) (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (.f64 (exp.f64 (pow.f64 v -1)) 2) (neg.f64 (cbrt.f64 4))) (.f64 (*.f64 (cbrt.f64 4) 2) (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (sqrt.f64 2)) (.f64 (cbrt.f64 4) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (sqrt.f64 2) (.f64 (neg.f64 (cbrt.f64 4)) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) 2) (.f64 (cbrt.f64 4) (exp.f64 (/.f64 -1 v)))) (*.f64 (cbrt.f64 4) 2))
(/.f64 (+.f64 (.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)) (/.f64 (.f64 -2 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2))) (*.f64 -2 (cbrt.f64 4)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (cbrt.f64 2)) (.f64 (cbrt.f64 4) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) 2)
(.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (cbrt.f64 4))) (cbrt.f64 4))) 1/2)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) -2) (.f64 (cbrt.f64 4) (neg.f64 (exp.f64 (/.f64 -1 v))))) (*.f64 (cbrt.f64 4) -2))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) -2 (.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4))) (.f64 -2 (cbrt.f64 4)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (cbrt.f64 4)) (.f64 (cbrt.f64 4) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (pow.f64 4 2/3))
(/.f64 (/.f64 (-.f64 (.f64 (cbrt.f64 4) (exp.f64 (pow.f64 v -1))) (.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4))) (cbrt.f64 2)) (cbrt.f64 16))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (neg.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 4) (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (*.f64 (cbrt.f64 4) (neg.f64 (sqrt.f64 2))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (sqrt.f64 2) (.f64 (neg.f64 (cbrt.f64 4)) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) 1) (.f64 (cbrt.f64 4) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (cbrt.f64 4))
(/.f64 (-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (/.f64 (cbrt.f64 1/2) (exp.f64 (pow.f64 v -1)))) (cbrt.f64 4))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) (.f64 2 (exp.f64 (pow.f64 v -1)))) -2) (.f64 -2 (.f64 2 (exp.f64 (pow.f64 v -1)))))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (.f64 (exp.f64 (pow.f64 v -1)) 2) -2) (.f64 4 (exp.f64 (pow.f64 v -1))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) (sqrt.f64 2)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (*.f64 -2 (sqrt.f64 2)))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) 2) (.f64 -2 (exp.f64 (/.f64 -1 v)))) -4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) -2) (.f64 -2 (neg.f64 (exp.f64 (/.f64 -1 v))))) 4)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) (cbrt.f64 2)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4)))) (*.f64 -2 (cbrt.f64 2)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 4))) (.f64 2 (cbrt.f64 2)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) (cbrt.f64 4)) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2)))) (*.f64 -2 (cbrt.f64 4)))
(/.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (cbrt.f64 2))) (.f64 (cbrt.f64 4) 2))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) (neg.f64 (sqrt.f64 2))) (.f64 -2 (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) (*.f64 -2 (neg.f64 (sqrt.f64 2))))
(.f64 (fma.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) -2) (sqrt.f64 2))) (sqrt.f64 1/8))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))))) (cbrt.f64 -2))
(cbrt.f64 (/.f64 (*.f64 -2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3)) -2))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 -2))
(cbrt.f64 (/.f64 (*.f64 -2 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3)) -2))
(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 8) 4)) (cbrt.f64 2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (neg.f64 (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))
(sinh.f64 (pow.f64 v -1))
(/.f64 (sinh.f64 (pow.f64 v -1)) 1)
(sinh.f64 (pow.f64 v -1))
(/.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 2))
(sinh.f64 (pow.f64 v -1))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))))) 3) (pow.f64 (neg.f64 (cbrt.f64 2)) 3))
(sinh.f64 (pow.f64 v -1))
(/.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) -1)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 (/.f64 -1 v)) (neg.f64 (sqrt.f64 2))))) -2)
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (exp.f64 (pow.f64 v -1)))) (sqrt.f64 2)) -1/2)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 2) 1/2) (exp.f64 (pow.f64 v -1)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) -2)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2)))) -2)
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (sqrt.f64 2)) (*.f64 1 (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) (.f64 1/2 (sqrt.f64 2))) (*.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) -2) (neg.f64 (exp.f64 (/.f64 -1 v)))) -2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 1) (/.f64 1/2 (exp.f64 (pow.f64 v -1)))) 1)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (pow.f64 v -1))) 1) (.f64 -2 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) -2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (pow.f64 v -1)) -1) 1) (.f64 -2 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) -2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) -2)
(sinh.f64 (pow.f64 v -1))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (neg.f64 (sqrt.f64 2)))
(sinh.f64 (pow.f64 v -1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (*.f64 (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1)) 2))
(/.f64 (-.f64 (exp.f64 (.f64 (pow.f64 v -1) -3)) (exp.f64 (.f64 (pow.f64 v -1) 3))) (*.f64 -2 (+.f64 (+.f64 (exp.f64 (/.f64 2 v)) (exp.f64 (/.f64 -2 v))) 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) (*.f64 2 (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))))
(/.f64 (-.f64 (exp.f64 (.f64 (pow.f64 v -1) -3)) (exp.f64 (.f64 (pow.f64 v -1) 3))) (*.f64 -2 (+.f64 (+.f64 (exp.f64 (/.f64 2 v)) (exp.f64 (/.f64 -2 v))) 1)))
(/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) 2)
(sinh.f64 (pow.f64 v -1))
(sinh.f64 (pow.f64 v -1))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) (cbrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (cbrt.f64 (.f64 1/4 (exp.f64 (pow.f64 v -1)))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 2 v)) 2)) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (sqrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(fma.f64 (pow.f64 4 -1/3) (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (pow.f64 4 -1/3) (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 2)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) 2) (cbrt.f64 (exp.f64 (/.f64 2 v))) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) 1/2) (cbrt.f64 (exp.f64 (/.f64 2 v))) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) 2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) -1) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1)))) (.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) -1/2) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) (sqrt.f64 1/2)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) (neg.f64 (sqrt.f64 2))) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 2 v)))) (sqrt.f64 2)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (cbrt.f64 4)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (cbrt.f64 1/2) (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (cbrt.f64 1/2) (/.f64 (exp.f64 (pow.f64 v -1)) (cbrt.f64 4)) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (cbrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (pow.f64 (cbrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) 2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1))) -1) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (pow.f64 v -1)))) (.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) -1/2) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (neg.f64 (sqrt.f64 2))) 2) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 (sqrt.f64 2))) (*.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 (pow.f64 v -1)) 4)) (sqrt.f64 (exp.f64 (pow.f64 v -1))) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) 1/2) (sqrt.f64 (exp.f64 (pow.f64 v -1))) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (sqrt.f64 (/.f64 (exp.f64 (pow.f64 v -1)) 4)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) (.f64 (sqrt.f64 (exp.f64 (pow.f64 v -1))) 1/2) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (cbrt.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (/.f64 (cbrt.f64 (exp.f64 (/.f64 2 v))) (cbrt.f64 4)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (cbrt.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (cbrt.f64 (/.f64 (exp.f64 (/.f64 2 v)) 4)) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 1 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(fma.f64 -1 (/.f64 (exp.f64 (pow.f64 v -1)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) (neg.f64 -1/2)) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (sqrt.f64 1/2) (/.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 2)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(fma.f64 (sqrt.f64 1/2) (.f64 (exp.f64 (pow.f64 v -1)) (sqrt.f64 1/2)) (.f64 (exp.f64 (/.f64 -1 v)) -1/2))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(fma.f64 1/2 (exp.f64 (pow.f64 v -1)) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3)
(sinh.f64 (pow.f64 v -1))
(pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)
(sinh.f64 (pow.f64 v -1))
(pow.f64 (sinh.f64 (pow.f64 v -1)) 1)
(sinh.f64 (pow.f64 v -1))
(cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3))
(sinh.f64 (pow.f64 v -1))
(neg.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(if (!=.f64 (sinh.f64 (pow.f64 v -1)) 0) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) -1) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (sinh.f64 (pow.f64 v -1)) 0) (/.f64 1 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1)) (sinh.f64 (pow.f64 v -1)))
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(if (!=.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sinh.f64 (pow.f64 v -1)))) (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 0) (pow.f64 (/.f64 2 (.f64 2 (sinh.f64 (pow.f64 v -1)))) -1) (sinh.f64 (pow.f64 v -1)))
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(if (!=.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) 0) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))) (sinh.f64 (pow.f64 v -1)))
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(if (!=.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (*.f64 (exp.f64 (/.f64 -1 v)) 1/2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))) (*.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1/4) (.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) (.f64 (exp.f64 (/.f64 -1 v)) 1/2))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))) (-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) 0) (/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (sinh.f64 (pow.f64 v -1)))) (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 2) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)) (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2)))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 2) 1/4) (.f64 (.f64 1/2 (+.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) (.f64 (exp.f64 (/.f64 -1 v)) 1/2))) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (*.f64 (exp.f64 (/.f64 -1 v)) -1/2) 0) (sinh.f64 (pow.f64 v -1)) (sinh.f64 (pow.f64 v -1)))
(+.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 (exp.f64 (/.f64 -1 v)) -2))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 1/2 (sinh.f64 (pow.f64 v -1))) (.f64 1/2 (sinh.f64 (pow.f64 v -1))))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) 1/2))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) 1/2) (.f64 (exp.f64 (pow.f64 v -1)) 1/2))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) 1) (*.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) 1))
(sinh.f64 (pow.f64 v -1))
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(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 1/2 (neg.f64 (exp.f64 (/.f64 -1 v)))))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 1/2 (neg.f64 (exp.f64 (/.f64 -1 v)))) (.f64 (exp.f64 (pow.f64 v -1)) 1/2))
(sinh.f64 (pow.f64 v -1))
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(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4)) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 2))))
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(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) -1)) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) -2)))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) -1/2)))
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(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 -1 v)) 4))) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) -1/2) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (pow.f64 4 -1/3)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 2))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (/.f64 (*.f64 (neg.f64 (pow.f64 4 -1/3)) (exp.f64 (/.f64 -1 v))) (cbrt.f64 2)))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (cbrt.f64 2))))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 (.f64 (*.f64 (exp.f64 (/.f64 -1 v)) 1/4) (/.f64 (exp.f64 (/.f64 -2 v)) 2))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (cbrt.f64 4))))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (cbrt.f64 (.f64 (*.f64 (exp.f64 (/.f64 -1 v)) 1/2) (/.f64 (exp.f64 (/.f64 -2 v)) 4))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))) (sqrt.f64 (/.f64 1/2 (exp.f64 (pow.f64 v -1))))))
(sinh.f64 (pow.f64 v -1))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))))
(-.f64 (*.f64 (exp.f64 (pow.f64 v -1)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2))) 2))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (neg.f64 (sqrt.f64 2)))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (neg.f64 (sqrt.f64 2)))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 1/2)) (/.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v)))) (sqrt.f64 2))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 2))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 (exp.f64 (/.f64 -1 v)) (sqrt.f64 1/2))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 -1/2 (exp.f64 (/.f64 -1 v))))
(sinh.f64 (pow.f64 v -1))
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(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) -1/2) (cbrt.f64 (exp.f64 (/.f64 -2 v)))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (cbrt.f64 1/2)) (/.f64 (exp.f64 (/.f64 -1 v)) (cbrt.f64 4))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (/.f64 (*.f64 (neg.f64 (cbrt.f64 1/2)) (exp.f64 (/.f64 -1 v))) (cbrt.f64 4)))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) -1)) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) -2)))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) -1/2)))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v)))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) 2)))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) 1/2)))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 2))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (sqrt.f64 2))))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 v))) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (exp.f64 (/.f64 -2 v))) (sqrt.f64 1/2))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v)))) (sqrt.f64 (/.f64 (exp.f64 (/.f64 -1 v)) 4))))
(fma.f64 (exp.f64 (pow.f64 v -1)) 1/2 (.f64 (.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) -1/2) (sqrt.f64 (exp.f64 (/.f64 -1 v)))))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (neg.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 2))) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4))))
(-.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 4)) (/.f64 (sqrt.f64 (exp.f64 (/.f64 -1 v))) (cbrt.f64 2))))
(+.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (*.f64 (exp.f64 (pow.f64 v -1)) 1/2))
(sinh.f64 (pow.f64 v -1))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) 2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2)))
(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))))
(*.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 1)
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 1 (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (neg.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) -1)
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 -1 (neg.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(-.f64 0 (neg.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(/.f64 (cbrt.f64 (/.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(/.f64 (cbrt.f64 (neg.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 -2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (sqrt.f64 2)))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
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(/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
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(/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 v -1)) 3) (pow.f64 (exp.f64 (pow.f64 v -1)) -3)) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 2 v)) (-.f64 (exp.f64 (/.f64 -2 v)) -1))))
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(/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) 3)
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(pow.f64 (sinh.f64 (pow.f64 v -1)) 1/3)
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(pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 1)
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))))) 3))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 0) (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) -1) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(+.f64 (.f64 1/2 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) (.f64 1/2 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 1/2) (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 1/2))
(cbrt.f64 (sinh.f64 (pow.f64 v -1)))
(*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 2)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 2)) (cbrt.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(*.f64 (+.f64 v v) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (+.f64 v v)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (+.f64 v v)) (cbrt.f64 (sinh.f64 (pow.f64 v -1))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (pow.f64 v 2)) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 v)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3)))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4)) (/.f64 (+.f64 v v) (cbrt.f64 2)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) v) (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 1 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 2 (.f64 (sinh.f64 (pow.f64 v -1)) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 -1 (neg.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (/.f64 (+.f64 v v) (cbrt.f64 4)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (cbrt.f64 v) (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 v 2))))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 1)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (neg.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) -1)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 (pow.f64 v 2))) (cbrt.f64 v))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3)))
(.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (/.f64 (+.f64 v v) (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 v 2) (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (/.f64 (+.f64 v v) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (*.f64 v 2) (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 2))
(.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) 1/2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2))) v) (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 (+.f64 v v) 2))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) v)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (/.f64 (+.f64 v v) -2))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(.f64 v (.f64 2 (sinh.f64 (pow.f64 v -1))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(-.f64 0 (neg.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (+.f64 v v))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cbrt.f64 2) (sinh.f64 (pow.f64 v -1))) (*.f64 v 2)) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 4)) (cbrt.f64 2))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) 2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 2) (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)))) (cbrt.f64 2))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 -2 v)) 2) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) 4)) 2))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 2))) (cbrt.f64 2))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 -2 v)) 2) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) 4)) 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 v 2) (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 v v) (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 v 2) (sqrt.f64 2)) (sinh.f64 (pow.f64 v -1))) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (+.f64 v v)) (cbrt.f64 4))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (+.f64 v v) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2))) (cbrt.f64 4))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 2)) (cbrt.f64 4))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (+.f64 v v) (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))))) -2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) -1) -2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 1)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (+.f64 v v)) -2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2) v) 2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (.f64 v (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) 1/2)) 2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (+.f64 v v))) 3) 2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) 1/2)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) -1)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 1)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3)
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(neg.f64 (neg.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))) 3))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(if (!=.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 0) (pow.f64 (/.f64 1 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) -1) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1))) 0) (pow.f64 (/.f64 -1 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 -2 v))) -1) (.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1))))
(if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))
(if (!=.f64 (.f64 v 2) 0) (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) -2) (/.f64 2 (.f64 -2 v))) (.f64 (*.f64 v 2) (sinh.f64 (pow.f64 v -1))))
(+.f64 (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) (.f64 1/2 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (exp.f64 (pow.f64 v -1)) v) (.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (neg.f64 (exp.f64 (/.f64 -1 v))) v) (.f64 (exp.f64 (pow.f64 v -1)) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (.f64 (sinh.f64 (pow.f64 v -1)) v))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (+.f64 v v)) (*.f64 (/.f64 (exp.f64 (/.f64 -1 v)) -2) (+.f64 v v)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 1/2) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 1/2))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 v (exp.f64 (pow.f64 v -1))) (.f64 v (neg.f64 (exp.f64 (/.f64 -1 v)))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 v (neg.f64 (exp.f64 (/.f64 -1 v)))) (.f64 v (exp.f64 (pow.f64 v -1))))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 1) (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) 1))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))
(+.f64 (.f64 (+.f64 v v) (.f64 (exp.f64 (pow.f64 v -1)) 1/2)) (*.f64 (+.f64 v v) (/.f64 (exp.f64 (/.f64 -1 v)) -2)))
(.f64 (.f64 v 2) (sinh.f64 (pow.f64 v -1)))

eval1.1s (0.7%)

Compiler: Compiled 69092 to 39070 computations (43.5% saved)

prune970.0ms (0.6%)

Pruning

83 alts after pruning (78 fresh and 5 done)

	Pruned	Kept	Total
New	2109	41	2150
Fresh	25	37	62
Picked	0	1	1
Done	3	4	7
Total	2137	83	2220

Error

Counts

2220 → 83

Alt Table

Click to see full alt table

Status	Error	Program
	2.0b	(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
	28.3b	(if (!=.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)) 0) (/.f64 1 (/.f64 (/.f64 2 cosTheta_O) (/.f64 cosTheta_i v))) (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 (/.f64 v cosTheta_i) cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 2 v)))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	28.3b	(if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 (+.f64 v v) cosTheta_i)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	0.5b	(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (sinh.f64 (/.f64 1 v))) (/.f64 v cosTheta_O)) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v))))
	28.3b	(if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 (+.f64 v v) cosTheta_O)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	0.9b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))))) 3)
	28.3b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)) 3)
	28.3b	(/.f64 (if (!=.f64 cosTheta_O 0) (/.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) (/.f64 v cosTheta_O)) (/.f64 (.f64 (*.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)) (cbrt.f64 2))
	0.6b	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (cbrt.f64 (.f64 v v))) (.f64 (cbrt.f64 v) (sinh.f64 (/.f64 1 v))))
	0.5b	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v)))
	0.5b	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) v) 2)
	28.3b	(/.f64 (/.f64 (/.f64 (.f64 v (neg.f64 (.f64 cosTheta_i cosTheta_O))) (neg.f64 v)) (*.f64 v (cbrt.f64 4))) (cbrt.f64 2))
	28.3b	(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (cbrt.f64 4)) v)
	28.3b	(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 4)) (cbrt.f64 2))
	0.6b	(/.f64 (/.f64 (.f64 (/.f64 cosTheta_O (cbrt.f64 v)) cosTheta_i) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)) (sinh.f64 (/.f64 1 v)))) (cbrt.f64 (*.f64 v v)))
	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) (cbrt.f64 2))
	0.5b	(/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1)))
▶	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (.f64 v (cbrt.f64 4)))
	28.3b	(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) 2) v)
	0.5b	(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (*.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O v)) (sinh.f64 (pow.f64 v -1)))
	0.4b	(/.f64 (.f64 (/.f64 (/.f64 1/2 v) v) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3))) cosTheta_O) v)
	0.7b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) cosTheta_O) v)
	28.3b	(/.f64 (*.f64 (/.f64 cosTheta_i 2) cosTheta_O) v)
	28.3b	(/.f64 (.f64 (/.f64 -1 v) (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i (neg.f64 cosTheta_O)))) (cbrt.f64 2))
	0.5b	(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
	0.5b	(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) cosTheta_O) v)
	28.3b	(/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) (*.f64 (cbrt.f64 2) v))
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i) 0) (/.f64 (cbrt.f64 cosTheta_O) (/.f64 v (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (.f64 (cbrt.f64 cosTheta_O) (cbrt.f64 (/.f64 cosTheta_i v))) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
✓	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (-.f64 0 (.f64 (neg.f64 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (neg.f64 (pow.f64 v 2)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3))
	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 1/3) 3) 2) v))
	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))) 3) 2) v))
✓	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v))
	1.1b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) v) (sqrt.f64 2)))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3))))
✓	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v))))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_O v) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	25.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	28.3b	(+.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 2/3) (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 1/3))
	28.3b	(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
	31.1b	(.f64 (if (!=.f64 (/.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) v) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 1/2)
	28.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3) 1/2)
	28.3b	(.f64 (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i))) 3) (neg.f64 v)) 1/2)
	0.4b	(.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (neg.f64 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 -1/2 v))
	0.4b	(.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (/.f64 -1/2 v) (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3))) 1/2)
✓	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
▶	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))))
	0.7b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (pow.f64 (cbrt.f64 (.f64 v (sinh.f64 (pow.f64 v -1)))) 3))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)))))
▶	0.6b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1)))))))
	0.5b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1/2 v) v) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (/.f64 -1/2 v)))
	0.6b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 -1 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)) (cbrt.f64 (.f64 -1/2 1/4))))
	28.3b	(.f64 (/.f64 (.f64 cosTheta_O 1/2) v) cosTheta_i)
▶	0.5b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
	0.7b	(.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) (/.f64 cosTheta_O v))
	0.5b	(.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 cosTheta_O v) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
▶	28.3b	(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))
	0.5b	(.f64 (/.f64 -1 v) (.f64 (/.f64 -1/2 (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
✓	28.3b	(.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) 1/2)
	28.3b	(.f64 (cbrt.f64 (/.f64 1/4 -2)) (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
	0.5b	(.f64 cosTheta_O (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (*.f64 2 v))) (sinh.f64 (/.f64 1 v))) v))
	31.7b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2) 3))

Compiler

Compiled 4407 to 3089 computations (29.9% saved)

localize60.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))
✓	0.3b	(/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))
✓	0.4b	(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
	0.9b	(sinh.f64 (pow.f64 v -1))

Compiler

Compiled 162 to 98 computations (39.5% saved)

series25.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
0.0ms	v	@	inf	(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
0.0ms	v	@	-inf	(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
0.0ms	v	@	-inf	(/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))
0.0ms	v	@	inf	(/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))

Compiler

Compiled 2770 to 2330 computations (15.9% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

154×	`egg-rr`
114×	`egg-rr`
113×	`egg-rr`

Counts

3 → 381

Calls

Call 1

Inputs
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))
(/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))

Outputs

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

simplify5.8s (3.9%)

Algorithm

1×

egglog

Counts

417 → 487

Calls

Call 1

Inputs
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
-2
(-.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 v) 2)) 2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 1 v) 4)) (.f64 -1/3 (pow.f64 (/.f64 1 v) 2))) 2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 v) 2)) (*.f64 -1/2520 (pow.f64 (/.f64 1 v) 6)))) 2)
-2
(-.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 v) 2)) 2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 -1 v) 4)) (.f64 -1/3 (pow.f64 (/.f64 -1 v) 2))) 2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 (.f64 -1/2520 (pow.f64 (/.f64 -1 v) 6)) (*.f64 -1/3 (pow.f64 (/.f64 -1 v) 2)))) 2)
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(*.f64 (/.f64 2 (/.f64 -1 v)) (sinh.f64 (pow.f64 v -1)))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (/.f64 -1/2 v))) (/.f64 1 (cbrt.f64 (/.f64 1/4 (pow.f64 v 2)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 2 (/.f64 -1 v)))
(*.f64 -1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) -1)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (+.f64 0 (.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) 0))) (-.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) 0))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (.f64 0 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))))) (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(*.f64 -1 (-.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) 0))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) 0)) (+.f64 0 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))))
(.f64 (.f64 -2 (sinh.f64 (pow.f64 v -1))) (/.f64 1 (pow.f64 v -1)))
(*.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) (/.f64 -1 (/.f64 -1/2 v)))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 1 (/.f64 (/.f64 -1/2 v) 1/2)))
(.f64 1/2 (+.f64 0 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v))))
(.f64 1/2 (-.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) 0))
(.f64 -1/2 (+.f64 0 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1)))
(.f64 -1/2 (-.f64 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1) 0))
(*.f64 (/.f64 -1 (/.f64 -1/2 v)) (neg.f64 (sinh.f64 (pow.f64 v -1))))
(.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) 1/2)
(.f64 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1) -1/2)
(*.f64 1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))
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(+.f64 (-.f64 (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) v)) (/.f64 0 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v))) (/.f64 1/2 (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 (-.f64 (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) v)) (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v)))) (/.f64 1/2 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 (-.f64 0 (/.f64 0 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v))) (/.f64 1/2 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 (-.f64 0 (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v)))) (/.f64 1/2 (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 (-.f64 (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v))) (/.f64 0 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v))) (/.f64 1/2 (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 (-.f64 (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v))) (/.f64 0 (.f64 (sinh.f64 (pow.f64 v -1)) (neg.f64 v)))) (/.f64 1/2 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)))
(+.f64 0 (/.f64 1/2 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)))

Outputs
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 v (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 v (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 v (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1))))
(.f64 -1 (.f64 v (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 v (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1))))
-2
(-.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 v) 2)) 2)
(fma.f64 -1/3 (/.f64 (pow.f64 v -1) v) -2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 1 v) 4)) (.f64 -1/3 (pow.f64 (/.f64 1 v) 2))) 2)
(+.f64 (*.f64 -1/60 (pow.f64 (pow.f64 v -1) 4)) (fma.f64 -1/3 (/.f64 (pow.f64 v -1) v) -2))
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 1 v) 4)) (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 v) 2)) (*.f64 -1/2520 (pow.f64 (/.f64 1 v) 6)))) 2)
(+.f64 (fma.f64 -1/60 (pow.f64 (pow.f64 v -1) 4) (fma.f64 -1/3 (/.f64 (pow.f64 v -1) v) (*.f64 -1/2520 (pow.f64 (pow.f64 v -1) 6)))) -2)
-2
(-.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 v) 2)) 2)
(fma.f64 -1/3 (/.f64 (pow.f64 v -1) v) -2)
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 -1 v) 4)) (.f64 -1/3 (pow.f64 (/.f64 -1 v) 2))) 2)
(+.f64 (*.f64 -1/60 (pow.f64 (pow.f64 v -1) 4)) (fma.f64 -1/3 (/.f64 (pow.f64 v -1) v) -2))
(-.f64 (+.f64 (.f64 -1/60 (pow.f64 (/.f64 -1 v) 4)) (+.f64 (.f64 -1/2520 (pow.f64 (/.f64 -1 v) 6)) (*.f64 -1/3 (pow.f64 (/.f64 -1 v) 2)))) 2)
(+.f64 (fma.f64 -1/60 (pow.f64 (pow.f64 v -1) 4) (fma.f64 -1/2520 (pow.f64 (/.f64 -1 v) 6) (*.f64 -1/3 (/.f64 (pow.f64 v -1) v)))) -2)
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (/.f64 1/2 v) (/.f64 -1/12 (pow.f64 v 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(fma.f64 -31/30240 (pow.f64 (pow.f64 v -1) 7) (+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 1/2 v))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (/.f64 1/2 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (+.f64 (/.f64 1/2 v) (*.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (/.f64 1/2 v) (/.f64 -1/12 (pow.f64 v 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(fma.f64 -31/30240 (pow.f64 (pow.f64 v -1) 7) (+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 1/2 v))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (/.f64 1/2 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (+.f64 (/.f64 1/2 v) (*.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (/.f64 2 (/.f64 -1 v)) (sinh.f64 (pow.f64 v -1)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (/.f64 -1/2 v))) (/.f64 1 (cbrt.f64 (/.f64 1/4 (pow.f64 v 2)))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (.f64 (/.f64 -1/2 v) (/.f64 1/4 (.f64 v v)))))
(*.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 2 (/.f64 -1 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 -1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) -1)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (+.f64 0 (.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) 0))) (-.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) 0))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) (.f64 0 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))))) (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 -1 (-.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) 0))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2)) 0)) (+.f64 0 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (.f64 -2 (sinh.f64 (pow.f64 v -1))) (/.f64 1 (pow.f64 v -1)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (neg.f64 (sinh.f64 (pow.f64 v -1))) (/.f64 -1 (/.f64 -1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 1 (/.f64 (/.f64 -1/2 v) 1/2)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 1/2 (+.f64 0 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 1/2 (-.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) 0))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 -1/2 (+.f64 0 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 -1/2 (-.f64 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1) 0))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (/.f64 -1 (/.f64 -1/2 v)) (neg.f64 (sinh.f64 (pow.f64 v -1))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) 1/2)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(.f64 (/.f64 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)) -1) -1/2)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 2))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) 3)))
(*.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 1)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (/.f64 (/.f64 -1/2 v) 1/2)) (/.f64 (exp.f64 (/.f64 -1 v)) (/.f64 (/.f64 -1/2 v) 1/2)))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 (/.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 -1/2 v)) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) (/.f64 -1/2 v)))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 (/.f64 0 (/.f64 1/2 v)) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 (-.f64 (/.f64 0 (/.f64 1/2 v)) 0) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 (/.f64 (exp.f64 (pow.f64 v -1)) (/.f64 (/.f64 -1/2 v) 1/2)) (+.f64 (/.f64 (exp.f64 (/.f64 -1 v)) (/.f64 (/.f64 -1/2 v) 1/2)) 0))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 (/.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 -1/2 v)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) (/.f64 -1/2 v)) 0))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 (+.f64 0 (/.f64 (.f64 (exp.f64 (pow.f64 v -1)) 1/2) (/.f64 -1/2 v))) (/.f64 (.f64 (exp.f64 (/.f64 -1 v)) 1/2) (/.f64 -1/2 v)))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 (+.f64 0 (/.f64 0 (/.f64 1/2 v))) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 (+.f64 0 (/.f64 (exp.f64 (pow.f64 v -1)) (/.f64 (/.f64 -1/2 v) 1/2))) (/.f64 (exp.f64 (/.f64 -1 v)) (/.f64 (/.f64 -1/2 v) 1/2)))
(/.f64 (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))) (/.f64 -1 v))
(-.f64 3 (+.f64 3 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 3 (-.f64 3 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 1 (+.f64 1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 1 (-.f64 1 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 0 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(-.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v)) 0)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 -1/2)) (/.f64 (cbrt.f64 1/4) v))
(/.f64 (sinh.f64 (pow.f64 v -1)) (*.f64 (/.f64 (cbrt.f64 1/4) v) (cbrt.f64 -1/2)))
(/.f64 (.f64 -2 (sinh.f64 (pow.f64 v -1))) (.f64 2 (/.f64 1/2 v)))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (.f64 -2 (sinh.f64 (pow.f64 v -1))) (.f64 (/.f64 -1/2 v) -2))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (/.f64 -1/2 v))) (cbrt.f64 (/.f64 1/4 (pow.f64 v 2))))
(/.f64 (sinh.f64 (pow.f64 v -1)) (cbrt.f64 (.f64 (/.f64 -1/2 v) (/.f64 1/4 (.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v))) -2)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 1/2 v)) -1)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 (/.f64 -1/2 v) 1/2))
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
(/.f64 (+.f64 0 (neg.f64 (/.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (/.f64 -1/2 v)))) -2)
(/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))
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localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 1290 to 400 computations (69% saved)

rewrite1.7s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

136× egg-rr

Counts

1 → 136

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 cosTheta_O 0) (/.f64 (*.f64 1/2 cosTheta_i) (/.f64 v cosTheta_O)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 cosTheta_i cosTheta_O)) 0) (pow.f64 (/.f64 v (*.f64 1/2 (*.f64 cosTheta_i cosTheta_O))) -1) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i cosTheta_O)) 0) (/.f64 (cbrt.f64 1/2) (/.f64 v (*.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i cosTheta_O)))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 cosTheta_i cosTheta_O) 2)) 0) (/.f64 (cbrt.f64 (*.f64 1/8 (*.f64 cosTheta_i cosTheta_O))) (/.f64 v (cbrt.f64 (pow.f64 (*.f64 cosTheta_i cosTheta_O) 2)))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/2 0) (/.f64 (*.f64 cosTheta_i 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simplify3.0s (2%)

Algorithm

1×

egglog

Counts

172 → 170

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
(.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v))
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(*.f64 (/.f64 cosTheta_i (+.f64 v v)) cosTheta_O)
(*.f64 cosTheta_O (/.f64 cosTheta_i (+.f64 v v)))
(*.f64 cosTheta_i (/.f64 cosTheta_O (+.f64 v v)))
(.f64 (cbrt.f64 (.f64 cosTheta_i cosTheta_O)) (.f64 (/.f64 1/2 v) (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2))))
(*.f64 (/.f64 cosTheta_O (+.f64 v v)) cosTheta_i)
(.f64 (.f64 (/.f64 1/2 v) (cbrt.f64 (pow.f64 (.f64 cosTheta_i cosTheta_O) 2))) (cbrt.f64 (.f64 cosTheta_i cosTheta_O)))
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(.f64 (/.f64 (sqrt.f64 1/2) v) (.f64 (sqrt.f64 1/2) (*.f64 cosTheta_i cosTheta_O)))
(.f64 (/.f64 (.f64 1/2 cosTheta_i) (cbrt.f64 v)) (/.f64 cosTheta_O (cbrt.f64 (pow.f64 v 2))))
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(.f64 (.f64 1/2 cosTheta_O) (/.f64 cosTheta_i v))
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(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
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(-.f64 0 (/.f64 (*.f64 cosTheta_i cosTheta_O) (/.f64 v -1/2)))
(-.f64 0 (.f64 (/.f64 -1/2 v) (.f64 cosTheta_i cosTheta_O)))
(-.f64 0 (.f64 -1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))
(/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 v 2))) (*.f64 cosTheta_i cosTheta_O))) (neg.f64 (cbrt.f64 v)))
(/.f64 (.f64 -1/2 (.f64 cosTheta_i cosTheta_O)) (neg.f64 v))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 v 2))) (*.f64 cosTheta_i cosTheta_O))) (cbrt.f64 v))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2)) (cbrt.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)))) (cbrt.f64 v))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (cbrt.f64 v)) (cbrt.f64 v))
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(/.f64 (.f64 (/.f64 1/2 (cbrt.f64 v)) (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 (pow.f64 v 2)))
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(/.f64 (/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 cosTheta_i cosTheta_O))) 3) (neg.f64 v))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) (.f64 (cbrt.f64 (pow.f64 v 2)) 2))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 2))) (.f64 (cbrt.f64 v) 2))
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(/.f64 (cbrt.f64 (.f64 (.f64 -1/2 (.f64 cosTheta_i cosTheta_O)) (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2))) (neg.f64 (cbrt.f64 v)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 2) (.f64 -1/2 (.f64 cosTheta_i cosTheta_O)))) (neg.f64 (cbrt.f64 v)))
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Outputs
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(if (!=.f64 cosTheta_i 0) (/.f64 (.f64 1/2 cosTheta_O) (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 cosTheta_i 0) (/.f64 (.f64 1/2 cosTheta_O) (/.f64 v cosTheta_i)) (/.f64 (.f64 (*.f64 1/2 cosTheta_O) cosTheta_i) v))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (.f64 cosTheta_i cosTheta_O)) 0) (/.f64 (sqrt.f64 1/2) (/.f64 v (.f64 (sqrt.f64 1/2) (.f64 cosTheta_i cosTheta_O)))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (.f64 cosTheta_O cosTheta_i)) 0) (/.f64 (sqrt.f64 1/2) (/.f64 v (.f64 (sqrt.f64 1/2) (.f64 cosTheta_O cosTheta_i)))) (/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v))
(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (.f64 cosTheta_O cosTheta_i) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_O cosTheta_i))) (/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) -1)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v) 0) (pow.f64 (/.f64 -1 (/.f64 (.f64 -1/2 (.f64 cosTheta_O cosTheta_i)) v)) -1) (/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v))
(+.f64 (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v))) (.f64 1/2 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v))))
(/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v)
(+.f64 (.f64 0 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v)
(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
(/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v)
(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(/.f64 (.f64 (.f64 1/2 cosTheta_O) cosTheta_i) v)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 2) v)
✓	0.2b	(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v))
✓	0.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
	1.0b	(cbrt.f64 2)

Compiler

Compiled 40 to 26 computations (35% saved)

series61.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	cosTheta_i	@	0	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
3.0ms	v	@	0	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
3.0ms	cosTheta_O	@	0	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
2.0ms	cosTheta_O	@	inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
1.0ms	cosTheta_i	@	inf	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))

Compiler

Compiled 3690 to 2195 computations (40.5% saved)

rewrite2.5s (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

244×	`egg-rr`
140×	`egg-rr`
88×	`egg-rr`

Counts

3 → 472

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v))
(*.f64 (cbrt.f64 2) v)

Outputs

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simplify6.9s (4.6%)

Algorithm

1×

egglog

Counts

556 → 561

Calls

Call 1

Inputs
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
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Outputs
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(-.f64 0 (/.f64 (*.f64 v (cbrt.f64 2)) -1))
(*.f64 (cbrt.f64 2) v)
(/.f64 v (cbrt.f64 1/2))
(/.f64 (*.f64 v (cbrt.f64 -2)) -1)
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(/.f64 (*.f64 v (cbrt.f64 2)) 1)
(*.f64 (cbrt.f64 2) v)
(/.f64 (+.f64 (*.f64 0 (cbrt.f64 1/2)) v) (cbrt.f64 1/2))
(/.f64 v (cbrt.f64 1/2))
(fma.f64 (cbrt.f64 2) v 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (*.f64 2 v)) 0)
(cbrt.f64 (.f64 (.f64 2 v) (*.f64 v v)))
(fma.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2))) (cbrt.f64 (.f64 v (cbrt.f64 2))) 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 2) 2)) (cbrt.f64 v) 0)
(cbrt.f64 (.f64 v (.f64 2 (*.f64 v v))))
(fma.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) v) 0)
(*.f64 v (cbrt.f64 (cbrt.f64 8)))
(fma.f64 (*.f64 v (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)) 0)
(*.f64 v (cbrt.f64 (cbrt.f64 8)))
(fma.f64 v (cbrt.f64 2) 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 -1 (*.f64 v (cbrt.f64 -2)) 0)
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(fma.f64 (cbrt.f64 -2) (neg.f64 v) 0)
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(fma.f64 (cbrt.f64 v) (cbrt.f64 (*.f64 (pow.f64 v 2) 2)) 0)
(cbrt.f64 (.f64 v (.f64 2 (*.f64 v v))))
(fma.f64 (cbrt.f64 (*.f64 2 v)) (cbrt.f64 (pow.f64 v 2)) 0)
(cbrt.f64 (.f64 (.f64 2 v) (*.f64 v v)))
(fma.f64 (*.f64 v (cbrt.f64 2)) 1 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 (cbrt.f64 (.f64 v (cbrt.f64 -2))) (neg.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)))) 0)
(neg.f64 (cbrt.f64 (.f64 (.f64 v (cbrt.f64 -2)) (.f64 (.f64 v v) (cbrt.f64 4)))))
(fma.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 v (cbrt.f64 (cbrt.f64 2))) 0)
(*.f64 v (cbrt.f64 (cbrt.f64 8)))
(fma.f64 (neg.f64 v) (cbrt.f64 -2) 0)
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(fma.f64 (cbrt.f64 (.f64 v (cbrt.f64 2))) (cbrt.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2))) 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 1 (*.f64 v (cbrt.f64 2)) 0)
(*.f64 (cbrt.f64 2) v)
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) v) (cbrt.f64 (cbrt.f64 2)) 0)
(*.f64 v (cbrt.f64 (cbrt.f64 8)))
(fma.f64 0 0 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(fma.f64 0 1 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(fma.f64 1 0 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(fma.f64 0 3 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(fma.f64 0 1/3 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(pow.f64 (*.f64 v (cbrt.f64 2)) 1)
(*.f64 (cbrt.f64 2) v)
(pow.f64 (*.f64 2 (pow.f64 v 3)) 1/3)
(*.f64 (cbrt.f64 2) v)
(pow.f64 (cbrt.f64 (*.f64 v (cbrt.f64 2))) 3)
(*.f64 (cbrt.f64 2) v)
(cbrt.f64 (*.f64 2 (pow.f64 v 3)))
(*.f64 (cbrt.f64 2) v)
(neg.f64 (*.f64 v (cbrt.f64 -2)))
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(neg.f64 (-.f64 (*.f64 v (cbrt.f64 -2)) 0))
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(if (!=.f64 1 0) (.f64 v (cbrt.f64 2)) (.f64 v (cbrt.f64 2)))
(if (!=.f64 1 0) (.f64 (cbrt.f64 2) v) (.f64 (cbrt.f64 2) v))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (.f64 2 (pow.f64 v 3))) (+.f64 0 (-.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) 0))) (*.f64 v (cbrt.f64 2)))
(if (!=.f64 0 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (.f64 v (cbrt.f64 2)) 0) (/.f64 (-.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) 0) (.f64 v (cbrt.f64 2))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 2) v) 0) (/.f64 (.f64 (.f64 v v) (cbrt.f64 4)) (.f64 (cbrt.f64 2) v)) (*.f64 (cbrt.f64 2) v))
(if (!=.f64 (.f64 v (cbrt.f64 -2)) 0) (/.f64 (neg.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2))) (.f64 v (cbrt.f64 -2))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 v (cbrt.f64 -2)) 0) (/.f64 (.f64 (neg.f64 (.f64 v v)) (cbrt.f64 4)) (.f64 v (cbrt.f64 -2))) (*.f64 (cbrt.f64 2) v))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (.f64 v (cbrt.f64 2)) 0))) (*.f64 v (cbrt.f64 2)))
(if (!=.f64 0 0) 0 (*.f64 (cbrt.f64 2) v))
(if (!=.f64 (.f64 v (cbrt.f64 -2)) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (+.f64 0 (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (.f64 0 (.f64 v (cbrt.f64 -2)))))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 v (cbrt.f64 -2)) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) v))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 2 (pow.f64 v 3)) 0) (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (+.f64 0 (.f64 (.f64 v (cbrt.f64 2)) 0)))) (*.f64 v (cbrt.f64 2)))
(if (!=.f64 0 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (+.f64 0 (-.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) 0)) 0) (/.f64 (+.f64 0 (.f64 2 (pow.f64 v 3))) (+.f64 0 (-.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) 0))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (.f64 v v) (cbrt.f64 4)) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (+.f64 0 (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (.f64 0 (.f64 v (cbrt.f64 -2))))) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (+.f64 0 (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (.f64 0 (.f64 v (cbrt.f64 -2)))))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (.f64 v v) (cbrt.f64 4)) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (+.f64 0 (.f64 (.f64 v (cbrt.f64 2)) 0))) 0) (/.f64 (-.f64 (.f64 2 (pow.f64 v 3)) 0) (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (+.f64 0 (.f64 (.f64 v (cbrt.f64 2)) 0)))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (.f64 v v) (cbrt.f64 4)) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (.f64 v (cbrt.f64 2)) 0) (/.f64 (+.f64 0 (.f64 2 (pow.f64 v 3))) (+.f64 0 (-.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) 0))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 2) v) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) v))
(if (!=.f64 0 0) (/.f64 (.f64 2 (pow.f64 v 3)) (+.f64 0 (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (.f64 0 (.f64 v (cbrt.f64 -2)))))) (*.f64 v (cbrt.f64 2)))
(if (!=.f64 0 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (.f64 (cbrt.f64 2) v))
(if (!=.f64 (.f64 v (cbrt.f64 2)) 0) (/.f64 (-.f64 (.f64 2 (pow.f64 v 3)) 0) (+.f64 (.f64 (cbrt.f64 4) (pow.f64 v 2)) (+.f64 0 (.f64 (.f64 v (cbrt.f64 2)) 0)))) (.f64 v (cbrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 2) v) 0) (/.f64 (.f64 2 (pow.f64 v 3)) (.f64 (.f64 v v) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) v))
(+.f64 0 (*.f64 v (cbrt.f64 2)))
(*.f64 (cbrt.f64 2) v)
(+.f64 (*.f64 v (cbrt.f64 2)) 0)
(*.f64 (cbrt.f64 2) v)
(+.f64 0 (.f64 (.f64 v (cbrt.f64 -2)) -1))
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(+.f64 -1 (-.f64 1 (*.f64 v (cbrt.f64 -2))))
(*.f64 (neg.f64 v) (cbrt.f64 -2))
(+.f64 -1 (+.f64 1 (*.f64 v (cbrt.f64 2))))
(*.f64 (cbrt.f64 2) v)
(+.f64 (-.f64 (*.f64 v (cbrt.f64 2)) 1/9) 1/9)
(*.f64 (cbrt.f64 2) v)
(+.f64 (-.f64 (*.f64 v (cbrt.f64 2)) 1) 1)
(*.f64 (cbrt.f64 2) v)
(+.f64 (-.f64 (*.f64 v (cbrt.f64 2)) 1/3) 1/3)
(*.f64 (cbrt.f64 2) v)
(+.f64 (-.f64 (*.f64 v (cbrt.f64 2)) 3) 3)
(*.f64 (cbrt.f64 2) v)

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
✓	0.3b	(/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v))
✓	0.3b	(/.f64 cosTheta_O (sinh.f64 (/.f64 1 v)))
	0.9b	(sinh.f64 (/.f64 1 v))

Compiler

Compiled 94 to 44 computations (53.2% saved)

series112.0ms (0.1%)

Counts

3 → 26

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	inf	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
1.0ms	cosTheta_i	@	0	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
1.0ms	sinTheta_i	@	inf	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
1.0ms	cosTheta_O	@	0	(/.f64 cosTheta_O (sinh.f64 (/.f64 1 v)))
1.0ms	v	@	0	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))

Compiler

Compiled 16500 to 10805 computations (34.5% saved)

rewrite2.2s (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

132×	`egg-rr`
82×	`egg-rr`
61×	`egg-rr`

Counts

3 → 275

Calls

Call 1

Inputs

(/.f64 cosTheta_O (sinh.f64 (/.f64 1 v)))

(/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v))

(*.f64 (/.f64 cosTheta_i (*.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 cosTheta_O (pow.f64 (sinh.f64 (pow.f64 v -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 cosTheta_O) (/.f64 -1 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) cosTheta_O)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (pow.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 cosTheta_O 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cosTheta_O) (/.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 cosTheta_O (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 cosTheta_O (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (/.f64 0 (neg.f64 (sinh.f64 (pow.f64 v -1))))) (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 cosTheta_O (sinh.f64 (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 cosTheta_O) (neg.f64 (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 cosTheta_O) (neg.f64 cosTheta_O)) (-.f64 (exp.f64 (/.f64 -1 v)) (exp.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) 0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 cosTheta_O cosTheta_O) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 cosTheta_O (-.f64 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simplify7.7s (5.1%)

Algorithm

1×

egglog

Counts

301 → 370

Calls

Call 1

Inputs
(*.f64 v cosTheta_O)
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O))
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (+.f64 (.f64 v cosTheta_O) (.f64 -1 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O))))))
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (+.f64 (.f64 v cosTheta_O) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O))) (+.f64 (.f64 -1/720 cosTheta_O) (.f64 1/5040 cosTheta_O))) (pow.f64 (/.f64 1 v) 5))) (.f64 -1 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 1/120 cosTheta_O) (*.f64 -1/36 cosTheta_O)))))))
(*.f64 v cosTheta_O)
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 v) 3) (+.f64 (.f64 -1/120 cosTheta_O) (.f64 1/36 cosTheta_O)))) (+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O)))
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(-.f64 0 (.f64 (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
(/.f64 (.f64 cosTheta_O (/.f64 (.f64 cosTheta_i -1/2) v)) (neg.f64 (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (.f64 cosTheta_O (neg.f64 cosTheta_i)) (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (neg.f64 cosTheta_O)) (.f64 (neg.f64 v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (neg.f64 (sinh.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (cbrt.f64 v))) (neg.f64 (cbrt.f64 (pow.f64 v 2))))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (/.f64 cosTheta_O (*.f64 v (sinh.f64 (pow.f64 v -1))))) (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (.f64 (/.f64 cosTheta_O (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (*.f64 cosTheta_i -1/2) v)) (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) (.f64 2 v))) (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (neg.f64 (.f64 cosTheta_O (/.f64 (.f64 cosTheta_i -1/2) v))) (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) (/.f64 (.f64 cosTheta_i -1/2) v)) (*.f64 v (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1)))) (*.f64 v (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 2 v))) (*.f64 v (neg.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) (cbrt.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) 2))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) v)
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (neg.f64 cosTheta_O)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 v (sinh.f64 (pow.f64 v -1)))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1)))))
(/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (.f64 v (sinh.f64 (pow.f64 v -1))) (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (*.f64 2 v))
(/.f64 (/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v))
(/.f64 (/.f64 (/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (*.f64 -2 v))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (/.f64 (neg.f64 cosTheta_O) (*.f64 v (sinh.f64 (pow.f64 v -1))))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(/.f64 (.f64 (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (*.f64 cosTheta_i -1/2) v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) cosTheta_O) (neg.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1)))))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v))
(/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 (neg.f64 v) (.f64 (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (sinh.f64 (pow.f64 v -1)))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (neg.f64 v) (.f64 (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (sinh.f64 (pow.f64 v -1)))))
(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1))))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) cosTheta_O) (.f64 (neg.f64 v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))))
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (pow.f64 v -1))))
(/.f64 (.f64 (neg.f64 cosTheta_i) cosTheta_O) (.f64 (.f64 (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (neg.f64 (sinh.f64 (pow.f64 v -1)))))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) cosTheta_O) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) (neg.f64 v))
(/.f64 (.f64 cosTheta_O (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (.f64 v (sinh.f64 (pow.f64 v -1))))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (neg.f64 v) (sinh.f64 (pow.f64 v -1)))) (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (.f64 cosTheta_O (/.f64 (/.f64 cosTheta_i v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2))) (*.f64 (neg.f64 v) (sinh.f64 (pow.f64 v -1))))
(/.f64 (.f64 (/.f64 (/.f64 cosTheta_i v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2)) cosTheta_O) (*.f64 (neg.f64 v) (sinh.f64 (pow.f64 v -1))))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) (cbrt.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (cbrt.f64 (pow.f64 (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) 2)))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (*.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (cbrt.f64 v)) (cbrt.f64 (pow.f64 v 2)))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))) 1)
(/.f64 (.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) (/.f64 (.f64 cosTheta_i -1/2) v)) (*.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1))))) (*.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 2 v)) (*.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(pow.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1)))))) 3)
(pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))) 1)
(cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))) 3))
(neg.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (neg.f64 v) (sinh.f64 (pow.f64 v -1)))) (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(neg.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) cosTheta_O) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) v))
(neg.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (sinh.f64 (pow.f64 v -1))) (.f64 (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v)))
(neg.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 cosTheta_i -1/2) v) cosTheta_O) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) (pow.f64 v -1)))
(neg.f64 (.f64 (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
(neg.f64 (.f64 (/.f64 (/.f64 cosTheta_i v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2)) (/.f64 cosTheta_O (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(neg.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) -1))
(neg.f64 (.f64 (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(neg.f64 (.f64 (/.f64 cosTheta_O (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 cosTheta_i v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2))))
(neg.f64 (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1)))))))
(neg.f64 (.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) (.f64 (/.f64 -1 v) (/.f64 (/.f64 cosTheta_i v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))) 3))
(if (!=.f64 (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 cosTheta_i (/.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O (.f64 v (sinh.f64 (pow.f64 v -1)))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 v (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 cosTheta_i (/.f64 (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1)))))) -1) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 2 0) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))))

Outputs
(*.f64 v cosTheta_O)
(*.f64 cosTheta_O v)
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O))
(fma.f64 -1/6 (/.f64 cosTheta_O v) (*.f64 cosTheta_O v))
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (+.f64 (.f64 v cosTheta_O) (.f64 -1 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O))))))
(-.f64 (fma.f64 -1/6 (/.f64 cosTheta_O v) (.f64 cosTheta_O v)) (/.f64 (.f64 cosTheta_O -7/360) (pow.f64 v 3)))
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (+.f64 (.f64 v cosTheta_O) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O))) (+.f64 (.f64 -1/720 cosTheta_O) (.f64 1/5040 cosTheta_O))) (pow.f64 (/.f64 1 v) 5))) (.f64 -1 (.f64 (pow.f64 (/.f64 1 v) 3) (+.f64 (.f64 1/120 cosTheta_O) (*.f64 -1/36 cosTheta_O)))))))
(fma.f64 -1/6 (/.f64 cosTheta_O v) (-.f64 (-.f64 (.f64 cosTheta_O v) (.f64 (fma.f64 -1/6 (.f64 cosTheta_O -7/360) (.f64 cosTheta_O -1/840)) (pow.f64 (pow.f64 v -1) 5))) (/.f64 (*.f64 cosTheta_O -7/360) (pow.f64 v 3))))
(*.f64 v cosTheta_O)
(*.f64 cosTheta_O v)
(+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O))
(fma.f64 -1/6 (/.f64 cosTheta_O v) (*.f64 cosTheta_O v))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 v) 3) (+.f64 (.f64 -1/120 cosTheta_O) (.f64 1/36 cosTheta_O)))) (+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (.f64 v cosTheta_O)))
(-.f64 (fma.f64 -1/6 (/.f64 cosTheta_O v) (.f64 cosTheta_O v)) (.f64 (/.f64 -1 (pow.f64 v 3)) (*.f64 cosTheta_O 7/360)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 v) 3) (+.f64 (.f64 -1/120 cosTheta_O) (.f64 1/36 cosTheta_O)))) (+.f64 (.f64 -1/6 (/.f64 cosTheta_O v)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/5040 cosTheta_O) (+.f64 (.f64 1/720 cosTheta_O) (.f64 -1/6 (+.f64 (.f64 -1/120 cosTheta_O) (.f64 1/36 cosTheta_O))))) (pow.f64 (/.f64 -1 v) 5))) (*.f64 v cosTheta_O))))
(-.f64 (fma.f64 -1/6 (/.f64 cosTheta_O v) (-.f64 (.f64 cosTheta_O v) (.f64 (+.f64 (.f64 cosTheta_O (+.f64 -1/5040 1/720)) (.f64 -1/6 (.f64 cosTheta_O 7/360))) (pow.f64 (/.f64 -1 v) 5)))) (.f64 (/.f64 -1 (pow.f64 v 3)) (*.f64 cosTheta_O 7/360)))
(*.f64 -1 cosTheta_O)
(neg.f64 cosTheta_O)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O)) (*.f64 -1 cosTheta_O))
(-.f64 (.f64 (.f64 1/6 (/.f64 (pow.f64 v -1) v)) cosTheta_O) cosTheta_O)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O)) (+.f64 (.f64 -1 cosTheta_O) (.f64 (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O)) (pow.f64 (/.f64 1 v) 4))))
(fma.f64 1/6 (.f64 cosTheta_O (/.f64 (pow.f64 v -1) v)) (-.f64 (.f64 (pow.f64 (pow.f64 v -1) 4) (*.f64 cosTheta_O -7/360)) cosTheta_O))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 v) 2) cosTheta_O)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O))) (+.f64 (.f64 -1/720 cosTheta_O) (.f64 1/5040 cosTheta_O))) (pow.f64 (/.f64 1 v) 6)) (+.f64 (.f64 -1 cosTheta_O) (.f64 (+.f64 (.f64 1/120 cosTheta_O) (.f64 -1/36 cosTheta_O)) (pow.f64 (/.f64 1 v) 4)))))
(fma.f64 1/6 (.f64 cosTheta_O (/.f64 (pow.f64 v -1) v)) (fma.f64 (fma.f64 -1/6 (.f64 cosTheta_O -7/360) (.f64 cosTheta_O -1/840)) (pow.f64 (pow.f64 v -1) 6) (-.f64 (.f64 (pow.f64 (pow.f64 v -1) 4) (*.f64 cosTheta_O -7/360)) cosTheta_O)))
(*.f64 -1 cosTheta_O)
(neg.f64 cosTheta_O)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 v) 2) cosTheta_O)) (*.f64 -1 cosTheta_O))
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(neg.f64 (.f64 (/.f64 (/.f64 cosTheta_i v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2)) (/.f64 cosTheta_O (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) (.f64 -2 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (neg.f64 v)) (sinh.f64 (pow.f64 v -1)))
(neg.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) -1))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (*.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(neg.f64 (.f64 (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (*.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(neg.f64 (.f64 (/.f64 cosTheta_O (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 cosTheta_i v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2))))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) (.f64 -2 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (neg.f64 v)) (sinh.f64 (pow.f64 v -1)))
(neg.f64 (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1)))))))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (*.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(neg.f64 (.f64 (/.f64 cosTheta_O (neg.f64 (sinh.f64 (pow.f64 v -1)))) (.f64 (/.f64 -1 v) (/.f64 (/.f64 cosTheta_i v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) -2)))))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) (.f64 -2 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (neg.f64 v)) (sinh.f64 (pow.f64 v -1)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))) 3))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (*.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))
(if (!=.f64 (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 cosTheta_i (/.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O (.f64 v (sinh.f64 (pow.f64 v -1)))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 (/.f64 (neg.f64 cosTheta_O) (sinh.f64 (pow.f64 v -1))) v) 0) (/.f64 cosTheta_i (/.f64 (.f64 2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 cosTheta_O (.f64 (sinh.f64 (pow.f64 v -1)) v)))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 (/.f64 cosTheta_i (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 v (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 v (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 cosTheta_i (/.f64 (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))) 0) (/.f64 cosTheta_i (/.f64 (.f64 (.f64 v 2) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 cosTheta_O (sinh.f64 (pow.f64 v -1))))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1)))))) -1) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) 0) (/.f64 1 (/.f64 -1 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(if (!=.f64 2 0) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))) (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (.f64 (.f64 2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(if (!=.f64 2 0) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) v)) (.f64 v 2)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))

localize53.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1)))))
✓	0.4b	(/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))
	0.9b	(sinh.f64 (pow.f64 v -1))
✓	0.9b	(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))

Compiler

Compiled 122 to 70 computations (42.6% saved)

series47.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))
1.0ms	v	@	0	(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))
0.0ms	v	@	inf	(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))
0.0ms	v	@	-inf	(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))
0.0ms	v	@	inf	(/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))

Compiler

Compiled 2820 to 2380 computations (15.6% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`egg-rr`
136×	`egg-rr`
54×	`egg-rr`

Counts

3 → 380

Calls

Call 1

Inputs

(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))))

(/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1))))

(+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1)))))

Outputs

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-1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 1)))))

simplify7.2s (4.8%)

Algorithm

1×

egglog

Counts

416 → 516

Calls

Call 1

Inputs
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 -1/2 v)
(-.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (.f64 -7/720 (pow.f64 (/.f64 1 v) 5))) (*.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 31/30240 (pow.f64 (/.f64 1 v) 7)))) (.f64 1/2 (/.f64 1 v)))
(/.f64 -1/2 v)
(-.f64 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3))) (*.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 -31/30240 (pow.f64 (/.f64 -1 v) 7)))) (.f64 1/2 (/.f64 1 v)))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) 1) (.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (+.f64 1 (.f64 -7/720 (pow.f64 (/.f64 1 v) 5)))) (*.f64 1/2 (/.f64 1 v)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 1 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3))) (.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 1 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)))) (*.f64 1/2 (/.f64 1 v)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 3)) (pow.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1) -1))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))) 1)
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(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))) 3) -1) (/.f64 1 (neg.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1))))
(*.f64 1 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1) -1) (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (-.f64 1 (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))) (+.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))))
(*.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) -1)
(*.f64 (+.f64 1 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))) (+.f64 1 (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))))
(*.f64 -1 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))
(-.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))))
(-.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) -1)
(/.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1)
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3) 3)) (*.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1) (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3) 2) (pow.f64 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))) 3)) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3)) (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))) 3) -1) (neg.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1)))
(/.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) -1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 v 2))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 v) v) 2)) (sinh.f64 (pow.f64 v -1))) 1)
(fma.f64 (/.f64 -1/2 (pow.f64 v 2)) (pow.f64 (sinh.f64 (pow.f64 v -1)) -1) 1)
(fma.f64 (/.f64 1/2 v) (/.f64 -1 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) 1)
(fma.f64 (/.f64 (/.f64 -1/2 v) (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) (/.f64 1 (*.f64 v (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)))) 1)
(fma.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 (pow.f64 v -1)))) (/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 2)) (pow.f64 v 2))) 1)
(fma.f64 (/.f64 -1/2 v) (/.f64 (pow.f64 v -1) (sinh.f64 (pow.f64 v -1))) 1)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 v)) (sinh.f64 (pow.f64 v -1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 v) 2)) v) 1)
(fma.f64 -1 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))
(fma.f64 1 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) 1)
(fma.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 1)
(fma.f64 (/.f64 (/.f64 1/2 v) v) (/.f64 -1 (sinh.f64 (pow.f64 v -1))) 1)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) -1) 1)
(fma.f64 (/.f64 -1/2 (sinh.f64 (pow.f64 v -1))) (pow.f64 (pow.f64 v -1) 2) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (cbrt.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1/2 v) v)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 v) v) 2)) (neg.f64 (sinh.f64 (pow.f64 v -1)))) 1)
(fma.f64 (/.f64 -1 (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 1/2 v) v) 1)
(fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 1 1)
(fma.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))) 1)
(pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) 3)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 3) 1))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 3))
(neg.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 1 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1) 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 0) (*.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) -1)) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 -1 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 2) (.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))) 1) 0) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 2) (*.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))) 1)) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))
(+.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 1)

Outputs
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))
(/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 1/2 v)
(+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))
(+.f64 (/.f64 1/2 v) (/.f64 -1/12 (pow.f64 v 3)))
(+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (*.f64 -1/12 (pow.f64 (/.f64 1 v) 3))))
(+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3))))
(+.f64 (.f64 -31/30240 (pow.f64 (/.f64 1 v) 7)) (+.f64 (.f64 1/2 (/.f64 1 v)) (+.f64 (.f64 7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 1 v) 3)))))
(fma.f64 -31/30240 (pow.f64 (pow.f64 v -1) 7) (+.f64 (/.f64 1/2 v) (fma.f64 7/720 (pow.f64 (pow.f64 v -1) 5) (/.f64 -1/12 (pow.f64 v 3)))))
(/.f64 1/2 v)
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 1/2 v))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (*.f64 1/2 (/.f64 1 v))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (/.f64 1/2 v)))
(+.f64 (.f64 1/12 (pow.f64 (/.f64 -1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 1/2 (/.f64 1 v)) (.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(fma.f64 1/12 (/.f64 -1 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (/.f64 -1 v) 5) (+.f64 (/.f64 1/2 v) (*.f64 31/30240 (pow.f64 (/.f64 -1 v) 7)))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (pow.f64 v -2)) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (pow.f64 v -2)) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (pow.f64 v -2)) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (pow.f64 v -2)) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(/.f64 -1/2 v)
(-.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(+.f64 (/.f64 1/12 (pow.f64 v 3)) (/.f64 -1/2 v))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (.f64 -7/720 (pow.f64 (/.f64 1 v) 5))) (*.f64 1/2 (/.f64 1 v)))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 v 3)) (*.f64 -7/720 (pow.f64 (pow.f64 v -1) 5))) (/.f64 -1/2 v))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (+.f64 (.f64 -7/720 (pow.f64 (/.f64 1 v) 5)) (.f64 31/30240 (pow.f64 (/.f64 1 v) 7)))) (.f64 1/2 (/.f64 1 v)))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 v 3)) (fma.f64 -7/720 (pow.f64 (pow.f64 v -1) 5) (*.f64 31/30240 (pow.f64 (pow.f64 v -1) 7)))) (/.f64 -1/2 v))
(/.f64 -1/2 v)
(-.f64 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 1/2 (/.f64 1 v)))
(fma.f64 -1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 -1/2 v))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3))) (*.f64 1/2 (/.f64 1 v)))
(+.f64 (*.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (fma.f64 -1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 -1/2 v)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)) (.f64 -31/30240 (pow.f64 (/.f64 -1 v) 7)))) (.f64 1/2 (/.f64 1 v)))
(+.f64 (fma.f64 7/720 (pow.f64 (/.f64 -1 v) 5) (fma.f64 -1/12 (/.f64 -1 (pow.f64 v 3)) (*.f64 -31/30240 (pow.f64 (/.f64 -1 v) 7)))) (/.f64 -1/2 v))
(*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1))))))
(/.f64 (neg.f64 (pow.f64 v -2)) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
(-.f64 1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
(-.f64 1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (/.f64 1 (exp.f64 (pow.f64 v -1)))))))
(-.f64 1 (/.f64 (pow.f64 v -2) (-.f64 (exp.f64 (pow.f64 v -1)) (exp.f64 (/.f64 -1 v)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 v)))
(+.f64 1 (/.f64 -1/2 v))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) 1) (.f64 1/2 (/.f64 1 v)))
(-.f64 (/.f64 1/12 (pow.f64 v 3)) (+.f64 (/.f64 1/2 v) -1))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 (/.f64 1 v) 3)) (+.f64 1 (.f64 -7/720 (pow.f64 (/.f64 1 v) 5)))) (*.f64 1/2 (/.f64 1 v)))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/12 (pow.f64 v 3))) (*.f64 -7/720 (pow.f64 (pow.f64 v -1) 5))) (/.f64 1/2 v))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 v)))
(+.f64 1 (/.f64 -1/2 v))
(-.f64 (+.f64 1 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3))) (.f64 1/2 (/.f64 1 v)))
(+.f64 1 (fma.f64 -1/12 (/.f64 -1 (pow.f64 v 3)) (/.f64 -1/2 v)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 (/.f64 -1 v) 5)) (+.f64 1 (.f64 -1/12 (pow.f64 (/.f64 -1 v) 3)))) (*.f64 1/2 (/.f64 1 v)))
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(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) 3)
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 3) 1))
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 3))
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)
(neg.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)
(if (!=.f64 1 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 1 0) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1) 0) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 2)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1)) (+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (fma.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 1) 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (fma.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) -1) 1) 0) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 0) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1) (+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2)) (+.f64 -1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) -1) 0) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 2)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1)) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 0) (*.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 0) (.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) -1))) (+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) 0) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) -1)) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1) 0) (/.f64 -1 (pow.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) -1) -1)) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 -1 0) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 -1 0) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(if (!=.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 2) (.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))) 1) 0) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 2) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) 2) (*.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))))) 1)) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1)) 2) (+.f64 (.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) -1)) 1)) 0) (/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1)) 2) (+.f64 (.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) -1)) 1))) (+.f64 1 (pow.f64 (.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) (+.f64 (/.f64 (/.f64 (/.f64 1/2 v) (sinh.f64 (pow.f64 v -1))) v) 1)) 3))) (+.f64 (/.f64 (/.f64 -1/2 (.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1))
(+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))))
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)
(+.f64 (/.f64 (/.f64 -1/2 (pow.f64 v 2)) (sinh.f64 (pow.f64 v -1))) 1)
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 (sinh.f64 (pow.f64 v -1)) v)) v) 1)

eval1.5s (1%)

Compiler: Compiled 91960 to 58360 computations (36.5% saved)

prune1.1s (0.7%)

Pruning

90 alts after pruning (82 fresh and 8 done)

	Pruned	Kept	Total
New	2428	20	2448
Fresh	11	62	73
Picked	1	0	1
Done	1	8	9
Total	2441	90	2531

Error

Counts

2531 → 90

Alt Table

Click to see full alt table

Status	Error	Program
	2.0b	(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
	28.3b	(if (!=.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)) 0) (/.f64 1 (/.f64 (/.f64 2 cosTheta_O) (/.f64 cosTheta_i v))) (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 (/.f64 v cosTheta_i) cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 2 v)))
	28.3b	(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
	28.3b	(if (!=.f64 cosTheta_i 0) (/.f64 (.f64 1/2 cosTheta_O) (/.f64 v cosTheta_i)) (/.f64 (.f64 (*.f64 1/2 cosTheta_O) cosTheta_i) v))
	0.5b	(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (sinh.f64 (/.f64 1 v))) (/.f64 v cosTheta_O)) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v))))
	28.3b	(if (!=.f64 cosTheta_O 0) (/.f64 (.f64 1/2 cosTheta_i) (/.f64 v cosTheta_O)) (/.f64 (.f64 (*.f64 1/2 cosTheta_O) cosTheta_i) v))
	0.9b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))))) 3)
	28.3b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)) 3)
	28.3b	(/.f64 (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 (.f64 (cbrt.f64 2) v) cosTheta_i)) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 2))) (cbrt.f64 4))
	28.3b	(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)))) 3) (neg.f64 v))
	0.5b	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v)))
	0.5b	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) v) 2)
	28.3b	(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (cbrt.f64 4)) v)
	28.3b	(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 4)) (cbrt.f64 2))
	28.3b	(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 2)) (cbrt.f64 4))
	28.3b	(/.f64 (/.f64 (*.f64 (/.f64 cosTheta_i v) cosTheta_O) (cbrt.f64 2)) (cbrt.f64 4))
	0.6b	(/.f64 (/.f64 (.f64 (/.f64 cosTheta_O (cbrt.f64 v)) cosTheta_i) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)) (sinh.f64 (/.f64 1 v)))) (cbrt.f64 (*.f64 v v)))
	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) (cbrt.f64 2))
	0.5b	(/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1)))
	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (-.f64 (-.f64 (.f64 v (cbrt.f64 2)) -1) 1)) (cbrt.f64 4))
	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (-.f64 3 (-.f64 3 (.f64 v (cbrt.f64 2))))) (cbrt.f64 4))
	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 4)) (.f64 (neg.f64 v) (cbrt.f64 -2)))
	28.3b	(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (.f64 v (cbrt.f64 4)))
	28.3b	(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) 2) v)
	0.5b	(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (*.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O v)) (sinh.f64 (pow.f64 v -1)))
	0.4b	(/.f64 (.f64 (/.f64 (/.f64 1/2 v) v) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (sinh.f64 (pow.f64 v -1)))
	0.5b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3))) cosTheta_O) v)
	0.7b	(/.f64 (.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) cosTheta_O) v)
	28.3b	(/.f64 (*.f64 (/.f64 cosTheta_i 2) cosTheta_O) v)
	28.3b	(/.f64 (.f64 (/.f64 cosTheta_O (.f64 v (cbrt.f64 2))) cosTheta_i) (cbrt.f64 4))
	0.5b	(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
	0.5b	(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) cosTheta_O) v)
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	2.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	1.0b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (.f64 (cbrt.f64 cosTheta_O) (cbrt.f64 (/.f64 cosTheta_i v))) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
✓	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (-.f64 0 (.f64 (neg.f64 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (neg.f64 (pow.f64 v 2)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3))
	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 1/3) 3) 2) v))
	0.9b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))) 3) 2) v))
✓	0.8b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v))
	1.1b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) 2) v))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) v) (sqrt.f64 2)))
	0.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3))))
✓	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v))))))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.5b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_O v) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	0.4b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	25.6b	(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
	28.3b	(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 -4) (*.f64 v (cbrt.f64 -2))))
	28.3b	(/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (.f64 8 (pow.f64 v 3))))
	32.1b	(-.f64 3 (+.f64 3 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 -2 v))))
	28.3b	(+.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 2/3) (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 1/3))
	28.3b	(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
	31.1b	(.f64 (if (!=.f64 (/.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) v) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 1/2)
	28.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3) 1/2)
	28.3b	(.f64 (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i))) 3) (neg.f64 v)) 1/2)
	0.4b	(.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (/.f64 -1/2 v) (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 (/.f64 -1/4 -2)))
✓	28.3b	(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
✓	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))
	0.6b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (-.f64 1 (+.f64 1 (/.f64 -1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (/.f64 1/2 v))))) (/.f64 (/.f64 1/2 v) (.f64 (sinh.f64 (pow.f64 v -1)) v))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))))
	0.7b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (pow.f64 (cbrt.f64 (.f64 v (sinh.f64 (pow.f64 v -1)))) 3))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)))))
	0.6b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) -1))
	0.5b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1/2 v) v) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))))
	0.4b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (/.f64 -1/2 v)))
	0.6b	(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 -1 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)) (cbrt.f64 (.f64 -1/2 1/4))))
	28.3b	(.f64 (/.f64 (.f64 cosTheta_O 1/2) v) cosTheta_i)
✓	0.5b	(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
	6.7b	(.f64 (/.f64 cosTheta_i (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (.f64 (neg.f64 (cbrt.f64 cosTheta_O)) (cbrt.f64 (pow.f64 cosTheta_O 2))) (*.f64 (sinh.f64 (pow.f64 v -1)) v)))
	0.7b	(.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) (/.f64 cosTheta_O v))
	0.5b	(.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 cosTheta_O v) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
✓	28.3b	(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))
	0.5b	(.f64 (/.f64 -1 v) (.f64 (/.f64 -1/2 (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
✓	28.3b	(.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) 1/2)
	0.5b	(.f64 cosTheta_i (.f64 (/.f64 -1/2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1))))))
	0.5b	(.f64 cosTheta_O (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (*.f64 2 v))) (sinh.f64 (/.f64 1 v))) v))
	28.3b	(neg.f64 (.f64 cosTheta_i (.f64 (/.f64 -1/2 v) cosTheta_O)))
	28.3b	(neg.f64 (.f64 cosTheta_O (.f64 (/.f64 -1/2 v) cosTheta_i)))
	31.7b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2) 3))

Compiler

Compiled 2366 to 1682 computations (28.9% saved)

regimes552.0ms (0.4%)

Counts

143 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 cosTheta_i v) cosTheta_O) 1/2)
(.f64 (/.f64 1/2 v) (.f64 cosTheta_i cosTheta_O))
(*.f64 (/.f64 cosTheta_i 2) (/.f64 cosTheta_O v))
(.f64 (/.f64 (.f64 cosTheta_O 1/2) v) cosTheta_i)
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 1/2)
(/.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)) v)
(/.f64 (*.f64 (/.f64 cosTheta_i 2) cosTheta_O) v)
(/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) 2) v)
(neg.f64 (.f64 cosTheta_O (.f64 (/.f64 -1/2 v) cosTheta_i)))
(neg.f64 (.f64 cosTheta_i (.f64 (/.f64 -1/2 v) cosTheta_O)))
(/.f64 (.f64 cosTheta_i (.f64 cosTheta_O -1/2)) (neg.f64 v))
(if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 (+.f64 v v) cosTheta_O)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 cosTheta_O 0) (/.f64 (.f64 1/2 cosTheta_i) (/.f64 v cosTheta_O)) (/.f64 (.f64 (*.f64 1/2 cosTheta_O) cosTheta_i) v))
(if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 (+.f64 v v) cosTheta_i)) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 cosTheta_i 0) (/.f64 (.f64 1/2 cosTheta_O) (/.f64 v cosTheta_i)) (/.f64 (.f64 (*.f64 1/2 cosTheta_O) cosTheta_i) v))
(-.f64 3 (+.f64 3 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 -2 v))))
(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)))
(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1/2 (/.f64 (/.f64 v cosTheta_i) cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) (*.f64 2 v)))
(if (!=.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)) 0) (/.f64 1 (/.f64 (/.f64 2 cosTheta_O) (/.f64 cosTheta_i v))) (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 v 2)))
(+.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2) (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 1/2))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 2/3) (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) 1/3))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 (/.f64 -1/4 -2)))
(.f64 (cbrt.f64 (/.f64 1/4 -2)) (neg.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))
(.f64 (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) -1) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 1/2)
(.f64 (if (!=.f64 (/.f64 (neg.f64 (.f64 cosTheta_i cosTheta_O)) v) 0) (/.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (*.f64 cosTheta_i cosTheta_O) v)) 1/2)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v)) 3))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2) 3))
(.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3))) 1/2)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3) 1/2)
(/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (.f64 8 (pow.f64 v 3))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (+.f64 v v))) 3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) 2)) 3)
(/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 -4) (*.f64 v (cbrt.f64 -2))))
(/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) (*.f64 (cbrt.f64 2) v))
(/.f64 (.f64 (/.f64 cosTheta_O (.f64 v (cbrt.f64 2))) cosTheta_i) (cbrt.f64 4))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (.f64 v (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 (cbrt.f64 2) v)) (cbrt.f64 4))
(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 cosTheta_i cosTheta_O)) v) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 (/.f64 cosTheta_i v) cosTheta_O) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (*.f64 cosTheta_i cosTheta_O) (cbrt.f64 2)) (cbrt.f64 4)) v)
(.f64 (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 cosTheta_O cosTheta_i))) 3) (neg.f64 v)) 1/2)
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 4)) (.f64 (neg.f64 v) (cbrt.f64 -2)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (.f64 cosTheta_i cosTheta_O)))) 3) (neg.f64 v))
(neg.f64 (.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (neg.f64 v)) (cbrt.f64 2)) (cbrt.f64 1/4)))
(/.f64 (if (!=.f64 cosTheta_O 0) (/.f64 (.f64 (cbrt.f64 1/4) cosTheta_i) (/.f64 v cosTheta_O)) (/.f64 (.f64 (*.f64 (cbrt.f64 1/4) cosTheta_i) cosTheta_O) v)) (cbrt.f64 2))
(/.f64 (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 (.f64 (cbrt.f64 2) v) cosTheta_i)) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (.f64 (/.f64 -1 v) (.f64 (cbrt.f64 1/4) (*.f64 cosTheta_i (neg.f64 cosTheta_O)))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (-.f64 3 (-.f64 3 (.f64 v (cbrt.f64 2))))) (cbrt.f64 4))
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (-.f64 (-.f64 (.f64 v (cbrt.f64 2)) -1) 1)) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (.f64 v (neg.f64 (.f64 cosTheta_i cosTheta_O))) (neg.f64 v)) (*.f64 v (cbrt.f64 4))) (cbrt.f64 2))
(.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) (/.f64 cosTheta_O v))
(/.f64 (.f64 (/.f64 cosTheta_i (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v)))))) cosTheta_O) v)
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_O v) cosTheta_i)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 cosTheta_i v) cosTheta_O)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_O 0) (/.f64 cosTheta_i (/.f64 v cosTheta_O)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 cosTheta_i 0) (/.f64 cosTheta_O (/.f64 v cosTheta_i)) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (/.f64 -1 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 v (.f64 cosTheta_i cosTheta_O))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 1 (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(.f64 cosTheta_O (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (*.f64 2 v))) (sinh.f64 (/.f64 1 v))) v))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v)))
(.f64 (/.f64 cosTheta_i (.f64 (*.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (/.f64 cosTheta_O (sinh.f64 (/.f64 1 v))) (neg.f64 v)))
(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 (/.f64 cosTheta_i (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (sinh.f64 (/.f64 1 v))) (/.f64 v cosTheta_O)) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) v) (sinh.f64 (/.f64 1 v))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 v (-.f64 (exp.f64 (/.f64 1 v)) (/.f64 1 (exp.f64 (/.f64 1 v))))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (if (!=.f64 (+.f64 v v) 0) (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (/.f64 2 (+.f64 v v))) (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (-.f64 0 (.f64 (neg.f64 v) (.f64 cosTheta_i (neg.f64 cosTheta_O)))) (neg.f64 (pow.f64 v 2)))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 cosTheta_O v) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1))))
(*.f64 (/.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (sinh.f64 (pow.f64 v -1))) (/.f64 cosTheta_O v))
(/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)))
(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
(/.f64 (.f64 (/.f64 (/.f64 1/2 v) v) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (sinh.f64 (pow.f64 v -1)))
(/.f64 (*.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 cosTheta_O v)) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) v)) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1)))) v)
(/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (/.f64 (.f64 (.f64 cosTheta_O cosTheta_i) (/.f64 1/2 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) v)) (sinh.f64 (pow.f64 v -1)))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (sinh.f64 (pow.f64 v -1))) (.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) v) 2)
(.f64 cosTheta_i (.f64 (/.f64 -1/2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (neg.f64 cosTheta_O) (.f64 v (sinh.f64 (pow.f64 v -1))))))
(.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (neg.f64 v)) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))) (/.f64 -1/2 v))
(.f64 (.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 cosTheta_O v))
(.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))) (/.f64 cosTheta_O v))
(.f64 (.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) cosTheta_O) (/.f64 1 (*.f64 (sinh.f64 (pow.f64 v -1)) v)))
(.f64 (/.f64 -1 v) (.f64 (/.f64 -1/2 (.f64 v (sinh.f64 (pow.f64 v -1)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (sinh.f64 (pow.f64 v -1))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (/.f64 -1/2 v)))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (*.f64 (/.f64 (/.f64 -1/2 v) v) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (sinh.f64 (pow.f64 v -1))))))
(.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (/.f64 -1/2 v) (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(.f64 (/.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) v) (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v))))
(.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))))
(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (sinh.f64 (pow.f64 v -1))) (/.f64 1 (*.f64 (+.f64 v v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) cosTheta_O) v)
(/.f64 (.f64 (.f64 (/.f64 cosTheta_i (.f64 -2 (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))) (/.f64 -1 (sinh.f64 (pow.f64 v -1)))) cosTheta_O) v)
(if (!=.f64 cosTheta_O 0) (/.f64 (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 v cosTheta_O) (sinh.f64 (pow.f64 v -1)))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1))))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 (+.f64 -1 (/.f64 (/.f64 (/.f64 1/2 v) v) (sinh.f64 (pow.f64 v -1)))) -1))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 (pow.f64 v 3)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 1/2 v) v) (neg.f64 (sinh.f64 (pow.f64 v -1)))))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (-.f64 1 (+.f64 1 (/.f64 (neg.f64 (/.f64 -1/2 (*.f64 v (sinh.f64 (pow.f64 v -1))))) (neg.f64 v)))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))
(if (!=.f64 (.f64 cosTheta_i cosTheta_O) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 v (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)))) (.f64 cosTheta_i cosTheta_O))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(if (!=.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 0) (/.f64 1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 v (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (.f64 (*.f64 2 v) (sinh.f64 (pow.f64 v -1)))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (-.f64 1 (+.f64 1 (/.f64 -1 (/.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) (/.f64 1/2 v))))) (/.f64 (/.f64 1/2 v) (.f64 (sinh.f64 (pow.f64 v -1)) v))))
(.f64 cosTheta_O (.f64 (pow.f64 v -1) (/.f64 (/.f64 cosTheta_i (+.f64 v v)) (*.f64 (sinh.f64 (pow.f64 v -1)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 (/.f64 -1 v) (sinh.f64 (pow.f64 v -1))) (.f64 (pow.f64 v -1) -1/2)))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (pow.f64 v -1)) 2) (cbrt.f64 (pow.f64 v 3))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 (pow.f64 v -1))) 3) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v))) 3))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (/.f64 -1 (.f64 (.f64 (sinh.f64 (pow.f64 v -1)) v) v)) (cbrt.f64 (.f64 -1/2 1/4))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (sqrt.f64 2) (sinh.f64 (pow.f64 v -1))) v) (sqrt.f64 2)))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 1/3) 3) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (pow.f64 (pow.f64 (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)) 3) 1/3))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (.f64 (cbrt.f64 cosTheta_O) (cbrt.f64 (/.f64 cosTheta_i v))) 3)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (/.f64 (.f64 (/.f64 cosTheta_O (cbrt.f64 v)) cosTheta_i) (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (.f64 2 v)) (sinh.f64 (/.f64 1 v)))) (cbrt.f64 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (.f64 2 v)) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (cbrt.f64 (.f64 v v))) (.f64 (cbrt.f64 v) (sinh.f64 (/.f64 1 v))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 (/.f64 cosTheta_i (cbrt.f64 v)) cosTheta_O) (cbrt.f64 (pow.f64 v 2)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (sqrt.f64 1/2)) (sqrt.f64 1/2)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (/.f64 (/.f64 (.f64 (*.f64 2 (sinh.f64 (pow.f64 v -1))) (+.f64 v v)) (cbrt.f64 2)) (cbrt.f64 4)))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) 2)) (cbrt.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v)))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (cbrt.f64 v)) v) (.f64 v (cbrt.f64 (pow.f64 v 2))))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) v) (.f64 (+.f64 v v) (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (sinh.f64 (pow.f64 v -1)))))) 3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) v) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) 3)
(.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3))) (/.f64 cosTheta_O v))
(/.f64 (.f64 (/.f64 cosTheta_i (.f64 (*.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3))) cosTheta_O) v)
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (pow.f64 (cbrt.f64 (.f64 v (sinh.f64 (pow.f64 v -1)))) 3))))
(.f64 (/.f64 (.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (/.f64 (/.f64 -1 v) (.f64 -2 (.f64 v (pow.f64 (pow.f64 (sinh.f64 (pow.f64 v -1)) 3) 1/3)))))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) 2) v))
(/.f64 (/.f64 (/.f64 (.f64 cosTheta_i cosTheta_O) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (.f64 (cbrt.f64 v) (.f64 (.f64 2 v) (sinh.f64 (pow.f64 v -1))))) (cbrt.f64 (pow.f64 v 2)))
(.f64 (/.f64 cosTheta_i (.f64 (.f64 -2 v) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)))) (/.f64 (.f64 (neg.f64 (cbrt.f64 cosTheta_O)) (cbrt.f64 (pow.f64 cosTheta_O 2))) (*.f64 (sinh.f64 (pow.f64 v -1)) v)))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) 0) (/.f64 (.f64 cosTheta_i (cbrt.f64 cosTheta_O)) (/.f64 v (cbrt.f64 (pow.f64 cosTheta_O 2)))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 cosTheta_i (cbrt.f64 (pow.f64 cosTheta_O 2))) 0) (/.f64 (cbrt.f64 cosTheta_O) (/.f64 v (.f64 cosTheta_i (cbrt.f64 (pow.f64 cosTheta_O 2))))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (if (!=.f64 (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i) 0) (/.f64 (cbrt.f64 cosTheta_O) (/.f64 v (.f64 (cbrt.f64 (pow.f64 cosTheta_O 2)) cosTheta_i))) (/.f64 (.f64 cosTheta_i cosTheta_O) v))) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 (pow.f64 v -1))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))) 3) 2) v))
(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (pow.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 v -1)) (.f64 cosTheta_i cosTheta_O))) (cbrt.f64 (cbrt.f64 (pow.f64 v 2)))) 3)) (.f64 (.f64 (sinh.f64 (/.f64 1 v)) 2) v))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O (neg.f64 v))) (.f64 (sinh.f64 (pow.f64 v -1)) (+.f64 v v)))) (/.f64 (.f64 cosTheta_O cosTheta_i) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v)) (+.f64 v v)) (sinh.f64 (pow.f64 v -1))) 2)) v)))

Outputs

(*.f64 (/.f64 (*.f64 cosTheta_O cosTheta_i) (pow.f64 (exp.f64 sinTheta_i) (/.f64 sinTheta_O v))) (if (!=.f64 (/.f64 -1/2 v) 0) (/.f64 (/.f64 -1 v) (/.f64 (sinh.f64 (pow.f64 v -1)) (/.f64 -1/2 v))) (/.f64 (/.f64 1/2 v) (*.f64 (sinh.f64 (pow.f64 v -1)) v))))

Calls

8 calls:

102.0ms	sinTheta_O
72.0ms	sinTheta_i
71.0ms	cosTheta_i
66.0ms	cosTheta_O
61.0ms	v

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (.f64 sinTheta_i sinTheta_O) v))) (/.f64 (.f64 cosTheta_i cosTheta_O) v)) (.f64 (*.f64 (sinh.f64 (/.f64 1 v)) 2) v))`
0.4b	1	`(*.f64 sinTheta_i sinTheta_O)`
0.4b	1	`(*.f64 cosTheta_i cosTheta_O)`

Compiler

Compiled 3213 to 1487 computations (53.7% saved)

regimes62.0ms (0%)

Calls

1 calls:

20.0ms

(*.f64 cosTheta_i cosTheta_O)

Results

Compiler

Compiled 2006 to 906 computations (54.8% saved)