Details

analyze1.5s (8.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
38.3%	0.6%	0.9%	97%	0%	1.5%	0%	11
38.3%	0.6%	0.9%	97%	0%	1.5%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.2s (18.1%)

Results

3.2s	8256×	body	256	valid
34.0ms	139×	body	256	invalid

Bogosity

preprocess19.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

148×	`rational_best-simplify-2`
122×	`exponential-simplify-1`
108×	`rational_best-simplify-1`
36×	`rational_best-simplify-44`
36×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	825
1	180	781
2	254	781
3	350	781
4	400	781
0	5	5
1	5	5

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 (.f32 v 2))) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O sinTheta_i) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O sinTheta_i) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 (.f32 v 2))) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_i) v)) (/.f32 1 v)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (/.f32 1 v)))) (/.f32 1 (.f32 v 2)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O v) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i))) (log.f32 (/.f32 1 (*.f32 cosTheta_i 2)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O v) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)))) (/.f32 1 (.f32 cosTheta_i 2)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 (.f32 v 2))) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 (.f32 v 2))) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_O sinTheta_i) v)) (/.f32 1 v)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_O sinTheta_i) v)) (/.f32 1 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O))) (log.f32 (/.f32 1 (*.f32 cosTheta_O 2)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)))) (/.f32 1 (.f32 cosTheta_O 2)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))
(.f32 (/.f32 1 (.f32 v 2)) (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i))) (log.f32 (/.f32 1 (*.f32 sinTheta_i 2)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)))) (/.f32 1 (.f32 sinTheta_i 2)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 v sinTheta_i) sinTheta_O)) (/.f32 1 sinTheta_O))) (log.f32 (/.f32 1 (*.f32 sinTheta_O 2)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 v sinTheta_i) sinTheta_O)) (/.f32 1 sinTheta_O)))) (/.f32 1 (.f32 sinTheta_O 2)))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`rational_best-simplify-2`
14×	`exponential-simplify-1`
12×	`rational_best-simplify-1`
4×	`rational_best-simplify-44`
4×	`rational_best-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	32	71
2	42	71
3	54	71
4	60	71

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))

Outputs

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))

(*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))

eval1.0ms (0%)

Compiler: Compiled 79 to 45 computations (43% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
▶	0.2b	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))

Status

Error

Program

▶

0.2b

(*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))

▶

0.2b

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize108.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	0.1b	(log.f32 (/.f32 1 (*.f32 v 2)))
✓	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	8.4b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 138 to 57 computations (58.7% saved)

series58.0ms (0.3%)

Counts

4 → 72

Calls

36 calls:

Time	Variable		Point	Expression
24.0ms	v	@	0	(log.f32 (/.f32 1 (*.f32 v 2)))
15.0ms	v	@	-inf	(log.f32 (/.f32 1 (*.f32 v 2)))
6.0ms	v	@	inf	(log.f32 (/.f32 1 (*.f32 v 2)))
3.0ms	sinTheta_i	@	inf	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
1.0ms	cosTheta_i	@	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

rewrite139.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rational_best-5`
888×	`rational_best-2`
888×	`rational_best-3`
888×	`rational_best-1`
886×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	145	74
2	463	74
3	1952	74
4	7923	74

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(log.f32 (/.f32 1 (*.f32 v 2)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1 (+.f32 v v))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 1 (/.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))) (log.f32 (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v)))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))) (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v))))) (log.f32 (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v)))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v))))) (.f32 (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))) (log.f32 (/.f32 1 (+.f32 v v)))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 1 (log.f32 (/.f32 1 (+.f32 v v))))) (log.f32 (/.f32 1 (+.f32 v v)))) (.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 (log.f32 (/.f32 1 (+.f32 v v))) (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1 (+.f32 v v))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))))

simplify196.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

982×	`rational_best-simplify-132`
936×	`rational_best-simplify-2`
738×	`rational_best-simplify-24`
618×	`rational_best-simplify-44`
582×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	3678
1	299	3394
2	1097	3394
3	2915	3386
4	6940	3386

Stop Event

1×	node limit

Counts

148 → 94

Calls

Call 1

Inputs
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
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(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
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(.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) -1)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
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(.f32 (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
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(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
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(.f32 (/.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
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(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 1)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) -1)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2) -2)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(pow.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 1)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(neg.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	0.1b	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	8.4b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 125 to 46 computations (63.2% saved)

series12.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	0	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
1.0ms	v	@	-inf	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
1.0ms	sinTheta_i	@	0	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
1.0ms	v	@	inf	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
1.0ms	cosTheta_i	@	-inf	(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-5`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`
1168×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	189	71
2	605	71
3	2563	71

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (.f32 2 (/.f32 1 (+.f32 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (*.f32 2 (/.f32 1 (+.f32 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))))

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational_best-simplify-132`
1314×	`rational_best-simplify-80`
1180×	`rational_best-simplify-78`
1012×	`rational_best-simplify-129`
994×	`rational_best-simplify-82`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	145	6311
1	260	6239
2	397	6203
3	621	6203
4	1449	6179
5	3003	6179
6	5458	6155

Stop Event

1×	node limit

Counts

67 → 77

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)
(+.f32 0 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))))
(-.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (.f32 2 (/.f32 1 (+.f32 v v)))) 2)
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)

Outputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (*.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))) (.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2)) (pow.f32 v 3))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))) (.f32 1/12 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3))) (pow.f32 v 4)))) (.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3)) (pow.f32 v 4)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (*.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))) (.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2)) (pow.f32 v 3))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))) (.f32 1/12 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3))) (pow.f32 v 4)))) (.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3)) (pow.f32 v 4)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v 2)) (/.f32 (exp.f32 6931/10000) v)))
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(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 (.f32 sinTheta_i sinTheta_O) 3)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(+.f32 0 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(-.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (.f32 2 (/.f32 1 (+.f32 v v)))) 2)
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)))) (/.f32 1 (+.f32 v v)))

eval139.0ms (0.8%)

Compiler: Compiled 9842 to 4893 computations (50.3% saved)

prune46.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	236	4	240
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	238	4	242

Error

0.0b

Counts

242 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
▶	0.1b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
▶	30.6b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	0.2b	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))

Compiler

Compiled 79 to 63 computations (20.3% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2))))
✓	0.0b	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))
	0.1b	(log.f32 (/.f32 1 (*.f32 v 2)))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 93 to 54 computations (41.9% saved)

series9.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	cosTheta_i	@	0	(+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2))))
1.0ms	cosTheta_O	@	0	(+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2))))
1.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))
1.0ms	v	@	-inf	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))
1.0ms	v	@	inf	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`rational_best-5`
938×	`rational_best-2`
938×	`rational_best-3`
938×	`rational_best-1`
936×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	110
1	156	106
2	504	106
3	2095	106

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))

(+.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (*.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (/.f32 1 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (/.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i 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cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))) (/.f32 1 (/.f32 1 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simplify268.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best-simplify-2`
818×	`rational_best-simplify-24`
806×	`rational_best-simplify-29`
682×	`rational_best-simplify-78`
656×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	7414
1	374	7262
2	970	7182
3	2069	7182
4	4169	7182
5	6828	7182

Stop Event

1×	node limit

Counts

120 → 133

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))
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(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
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(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
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Outputs
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(+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1 (+.f32 v v)))))

localize28.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (exp.f32 6931/10000) v)

Compiler

Compiled 20 to 17 computations (15% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/.f32 (exp.f32 6931/10000) v)
0.0ms	v	@	0	(/.f32 (exp.f32 6931/10000) v)
0.0ms	v	@	-inf	(/.f32 (exp.f32 6931/10000) v)

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best-5`
1544×	`rational_best-4`
1544×	`rational_best-2`
1544×	`rational_best-3`
1544×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	183	11
3	735	11
4	3147	11

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(/.f32 (exp.f32 6931/10000) v)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 6931/10000) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 6931/10000) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 6931/10000) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 1 (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))) (/.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))))))

simplify219.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best-simplify-2`
966×	`rational_best-simplify-54`
934×	`rational_best-simplify-132`
918×	`rational_best-simplify-44`
622×	`rational_best-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	297
1	97	297
2	247	297
3	1377	297
4	3672	297
5	6657	297

Stop Event

1×	node limit

Counts

27 → 28

Calls

Call 1

Inputs
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(+.f32 0 (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(-.f32 0 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v))
(.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 1 (/.f32 (exp.f32 6931/10000) v)))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))
(.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (/.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(.f32 (.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))) (/.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(neg.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))

Outputs
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 0 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(-.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(-.f32 0 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 1 (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 (/.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (/.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (/.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1 (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))) (/.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 6931/10000) v)) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v))))))
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(/.f32 (exp.f32 6931/10000) v)
(neg.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
✓	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
✓	0.1b	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 82 to 41 computations (50% saved)

series4.0ms (0%)

Counts

3 → 37

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_i	@	0	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
0.0ms	v	@	-inf	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
0.0ms	v	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
0.0ms	cosTheta_O	@	0	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
0.0ms	cosTheta_O	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`rational_best-simplify-57`
674×	`rational_best-5`
672×	`rational_best-4`
672×	`rational_best-2`
672×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	112	85
2	351	85
3	1473	85
4	6435	85

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))

(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))

Outputs

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v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (*.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (-.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1 v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2) (-.f32 0 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (/.f32 1 v)))))))) 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1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (/.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))))

simplify167.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational_best-simplify-48`
1428×	`rational_best-simplify-78`
1060×	`rational_best-simplify-54`
1042×	`rational_best-simplify-2`
1020×	`rational_best-simplify-135`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	4166
1	431	4136
2	1466	3988
3	5232	3988

Stop Event

1×	node limit

Counts

114 → 134

Calls

Call 1

Inputs
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
6931/10000
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(exp.f32 6931/10000)
(+.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) v) (exp.f32 6931/10000))
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(exp.f32 6931/10000)
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) v)) (exp.f32 6931/10000))
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(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
6931/10000
6931/10000
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(-.f32 0 (neg.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
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(.f32 1 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
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(.f32 (/.f32 1 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
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(.f32 (/.f32 (/.f32 1 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))
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(/.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(/.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 2)
(pow.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(neg.f32 (neg.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
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(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) 1)
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Outputs
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
6931/10000
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 cosTheta_i cosTheta_O)) v))
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(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(.f32 (/.f32 -1 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 1)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (/.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) -1)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 2) 2)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 2) -2)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(pow.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)) 1)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)
✓	0.1b	(exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))
✓	0.1b	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 80 to 43 computations (46.3% saved)

series16.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	0	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
1.0ms	cosTheta_i	@	-inf	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
1.0ms	v	@	0	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
1.0ms	cosTheta_i	@	inf	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
1.0ms	cosTheta_O	@	-inf	(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best-5`
880×	`rational_best-2`
880×	`rational_best-3`
880×	`rational_best-1`
878×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	119
1	148	119
2	466	119
3	1950	119
4	7844	119

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

(*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))

(exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))

(+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 2 (/.f32 1 (+.f32 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 v v))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2)) (exp.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2))) (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (*.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)))))

simplify224.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best-simplify-48`
1074×	`rational_best-simplify-2`
798×	`rational_best-simplify-43`
722×	`rational_best-simplify-78`
686×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	7327
1	387	7285
2	969	7213
3	2131	7213
4	5606	7213

Stop Event

1×	node limit

Counts

153 → 133

Calls

Call 1

Inputs
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Outputs
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(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(.f32 (/.f32 (exp.f32 (+.f32 (neg.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (exp.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2)))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 1)
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 2) 2)
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) 1)
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(-.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 0)
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 1 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 1 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (/.f32 1 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 1 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000))) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)))
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(/.f32 (.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 2) 2)
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(pow.f32 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) 1)
(+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))

eval426.0ms (2.4%)

Compiler: Compiled 17143 to 11082 computations (35.4% saved)

prune281.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	493	8	501
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	496	9	505

Error

0.0b

Counts

505 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))
	0.2b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 6931/10000))
▶	0.2b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
▶	0.2b	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (.f32 v 2)))
▶	0.1b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	30.6b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	0.6b	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
▶	26.9b	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

Compiler

Compiled 319 to 252 computations (21% saved)

localize39.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
✓	0.0b	(-.f32 6931/10000 (/.f32 1 v))
✓	0.1b	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

Compiler

Compiled 41 to 33 computations (19.5% saved)

series2.0ms (0%)

Counts

3 → 19

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
0.0ms	v	@	inf	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
0.0ms	v	@	inf	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
0.0ms	v	@	-inf	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
0.0ms	v	@	-inf	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

rewrite200.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`rational_best-simplify-57`
848×	`rational_best-simplify-82`
736×	`rational_best-simplify-80`
578×	`rational_best-simplify-49`
554×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	78	53
2	241	53
3	991	53
4	4220	53

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2))) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2))) (/.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))) (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))) (/.f32 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))) (/.f32 (/.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))))))) 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v))) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))))

simplify214.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best-simplify-2`
846×	`rational_best-simplify-80`
780×	`rational_best-simplify-135`
752×	`rational_best-simplify-78`
672×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4036
1	423	4012
2	1356	3962
3	3871	3962
4	6409	3962

Stop Event

1×	node limit

Counts

124 → 154

Calls

Call 1

Inputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 0)
(+.f32 0 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(-.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 0)
(-.f32 0 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 1 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))))
(*.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(.f32 (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(.f32 (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(.f32 (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))) (/.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(.f32 (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4))) (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))))
(.f32 (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4))) (/.f32 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)))))
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(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))))
(.f32 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))))
(.f32 (/.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))))
(.f32 (.f32 (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4))) (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4)))) (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4)))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (+.f32 (/.f32 1 v) -6931/10000))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (*.f32 (/.f32 1 v) 4))))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2)))) (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4)))) (.f32 (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4))) (exp.f32 (-.f32 6931/2500 (.f32 (/.f32 1 v) 4)))))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (-.f32 6931/5000 (.f32 (/.f32 1 v) 2))))
(/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 2) 2)
(/.f32 (*.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2) -2)
(pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)
(neg.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 6931/10000 (neg.f32 (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (/.f32 1 v)) 0)
(+.f32 0 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)
(*.f32 1 (-.f32 6931/10000 (/.f32 1 v)))
(*.f32 (-.f32 6931/10000 (/.f32 1 v)) 1)
(*.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 1 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (-.f32 6931/10000 (/.f32 1 v)))
(*.f32 (+.f32 (/.f32 1 v) -6931/10000) -1)
(.f32 (/.f32 1 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 1 (-.f32 6931/10000 (/.f32 1 v)))) (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 1 (-.f32 6931/10000 (/.f32 1 v)))) (-.f32 6931/10000 (/.f32 1 v)))
(*.f32 (/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v)))) (-.f32 6931/10000 (/.f32 1 v)))
(.f32 (/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v)))) (.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))))))
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(.f32 (/.f32 -1 (+.f32 (/.f32 1 v) -6931/10000)) (.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (-.f32 6931/10000 (/.f32 1 v)) 1)
(/.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (+.f32 (/.f32 1 v) -6931/10000) -1)
(/.f32 (-.f32 6931/5000 (*.f32 (/.f32 1 v) 2)) 2)
(/.f32 (+.f32 (*.f32 (/.f32 1 v) 2) -6931/5000) -2)
(pow.f32 (-.f32 6931/10000 (/.f32 1 v)) 1)
(neg.f32 (+.f32 (/.f32 1 v) -6931/10000))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 0)
(+.f32 0 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(-.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 0)
(-.f32 0 (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(*.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)
(*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
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(*.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 1 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(*.f32 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
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(*.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
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(.f32 (/.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))) (.f32 (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))))
(.f32 (/.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)
(neg.f32 (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))

Outputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (exp.f32 6931/10000) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (exp.f32 6931/10000) (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))))
(+.f32 (exp.f32 6931/10000) (+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))) (neg.f32 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))) (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (exp.f32 6931/10000) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
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(.f32 (/.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))) (.f32 (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(.f32 (/.f32 (/.f32 1 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(neg.f32 (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_i	@	0	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
0.0ms	cosTheta_O	@	inf	(*.f32 cosTheta_i cosTheta_O)
0.0ms	cosTheta_i	@	inf	(*.f32 cosTheta_i cosTheta_O)
0.0ms	cosTheta_O	@	-inf	(*.f32 cosTheta_i cosTheta_O)
0.0ms	cosTheta_i	@	-inf	(*.f32 cosTheta_i cosTheta_O)

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational_best-simplify-57`
782×	`rational_best-simplify-80`
590×	`rational_best-simplify-43`
548×	`rational_best-simplify-78`
506×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	75	24
2	260	24
3	1101	24
4	4787	24

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_i cosTheta_O)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)) (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4))) (*.f32 (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4)) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i cosTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 cosTheta_i cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 cosTheta_i cosTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))))))

simplify217.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-132`
1078×	`rational_best-simplify-2`
930×	`rational_best-simplify-54`
660×	`rational_best-simplify-80`
576×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	1804
1	183	1780
2	332	1780
3	924	1780
4	2923	1780
5	7023	1780

Stop Event

1×	node limit

Counts

54 → 59

Calls

Call 1

Inputs
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(+.f32 0 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(-.f32 0 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(.f32 1 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4))) (.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)) (exp.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4))))
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 2)
(/.f32 (.f32 (neg.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 2) -2)
(pow.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(neg.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(+.f32 0 (*.f32 cosTheta_i cosTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(-.f32 0 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)
(/.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 2) -2)
(pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))

Outputs
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2)))))
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(+.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
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(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3))))))
(+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3))))))
(+.f32 1 (+.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2)))) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3)))))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
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(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
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1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
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1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
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(+.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/6 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3)))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) 1))
(+.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/6 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3)))) (+.f32 1 (.f32 1/2 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2)))))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3))))))
(+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2))) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3))))))
(+.f32 1 (+.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2) (pow.f32 v 2)))) (.f32 1/6 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 v 3)))))
(+.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
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(-.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
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(-.f32 0 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4))) (.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)) (exp.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 4))))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4))) (exp.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4))))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 8)))
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)) (/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 4)) (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)))
(.f32 (exp.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (/.f32 (/.f32 1 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 2)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (neg.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 2) -2)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(pow.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(neg.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(*.f32 cosTheta_i cosTheta_O)
(+.f32 0 (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
(-.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(*.f32 cosTheta_i cosTheta_O)
(-.f32 0 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 2) -2)
(*.f32 cosTheta_i cosTheta_O)
(pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(*.f32 cosTheta_i cosTheta_O)
(neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i cosTheta_O)

localize49.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f32 6931/10000 (/.f32 1 v))
	0.1b	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	0.1b	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (.f32 v 2)))

Compiler

Compiled 43 to 35 computations (18.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (*.f32 v 2)))

0.0ms

-inf

(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (*.f32 v 2)))

0.0ms

inf

(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (*.f32 v 2)))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational_best-simplify-57`
660×	`rational_best-simplify-43`
636×	`rational_best-simplify-44`
544×	`rational_best-5`
544×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	103	35
2	308	35
3	1263	35
4	5400	35

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (.f32 v 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 2 (/.f32 1 (+.f32 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))))))

simplify160.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational_best-simplify-132`
1420×	`rational_best-simplify-80`
1286×	`rational_best-simplify-78`
1018×	`rational_best-simplify-82`
892×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	938
1	86	938
2	148	938
3	296	938
4	1134	938
5	3170	938
6	6123	938

Stop Event

1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)
(+.f32 0 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))))
(-.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)
(-.f32 0 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))
(/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)
(/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))
(/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 2 (/.f32 1 (+.f32 v v)))) 2)
(/.f32 (.f32 (neg.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))) 2) -2)
(pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)
(neg.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))))
(+.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(+.f32 0 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(-.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 0)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(-.f32 0 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 2 (/.f32 1 (+.f32 v v)))) 2)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(/.f32 (.f32 (neg.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))) 2) -2)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v))) 1)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))
(neg.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (+.f32 v v)))

localize195.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
✓	0.1b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
✓	0.3b	(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 77 to 38 computations (50.6% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	0	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
1.0ms	cosTheta_i	@	inf	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	-inf	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
1.0ms	cosTheta_i	@	-inf	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`rational_best-5`
900×	`rational_best-4`
900×	`rational_best-2`
900×	`rational_best-3`
900×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	109
1	145	109
2	466	105
3	1975	105

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

Inputs

(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000))

(*.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))

(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (*.f32 (exp.f32 6931/10000) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2))) (*.f32 (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)) (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)))))

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1706×	`rational_best-simplify-132`
1158×	`rational_best-simplify-80`
1048×	`rational_best-simplify-78`
710×	`rational_best-simplify-54`
642×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	5569
1	370	5419
2	649	5395
3	1282	5251
4	3954	5251

Stop Event

1×	node limit

Counts

97 → 130

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 3)))) (pow.f32 v 4))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 3)))) (pow.f32 v 4))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(exp.f32 (neg.f32 (/.f32 1 v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))))))
1
(-.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (pow.f32 v 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
1
(+.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) v)) (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (pow.f32 v 2)))))
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(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000))))
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (.f32 (exp.f32 6931/10000) 2)) 2)
(pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) 1)
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(-.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 0)
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(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) 2)) 2)
(pow.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 1)
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(/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)
(/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))
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(pow.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)

Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 (*.f32 cosTheta_i cosTheta_O) -1)) (pow.f32 v 2)) (/.f32 (exp.f32 6931/10000) v)))
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(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))) v))
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(.f32 1/2 (+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 cosTheta_i (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)) (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v)))
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(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (exp.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (/.f32 (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2))) (.f32 (exp.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)) (exp.f32 (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2))))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (/.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(.f32 (/.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (-.f32 (/.f32 1 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 2)))
(/.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(/.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 2) 2)
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))
(pow.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) 1)
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))

localize368.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))
✓	0.1b	(log.f32 (/.f32 1 (+.f32 v v)))
✓	0.3b	(/.f32 1 (/.f32 1 (+.f32 v v)))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 140 to 77 computations (45% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))
1.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))
1.0ms	v	@	inf	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))
0.0ms	cosTheta_O	@	0	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))
0.0ms	v	@	0	(/.f32 1 (/.f32 1 (+.f32 v v)))

rewrite173.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best-5`
1060×	`rational_best-2`
1060×	`rational_best-3`
1060×	`rational_best-1`
1058×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	99
1	174	99
2	570	99
3	2358	99

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(/.f32 1 (/.f32 1 (+.f32 v v)))
(log.f32 (/.f32 1 (+.f32 v v)))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))

Outputs

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simplify269.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

854×	`rational_best-simplify-78`
806×	`rational_best-simplify-1`
770×	`rational_best-simplify-2`
744×	`rational_best-simplify-80`
578×	`rational_best-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	6792
1	380	6660
2	970	6652
3	2215	6652
4	5197	6652

Stop Event

1×	node limit

Counts

122 → 119

Calls

Call 1

Inputs
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) cosTheta_O)) v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (.f32 2 (log.f32 (/.f32 1/2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))
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Outputs
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(*.f32 2 v)
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
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(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))))) 1)
(.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))

eval1.1s (6%)

Compiler: Compiled 22089 to 15420 computations (30.2% saved)

prune291.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	636	7	643
Fresh	1	2	3
Picked	1	0	1
Done	2	3	5
Total	640	12	652

Error

0.0b

Counts

652 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
▶	31.3b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))))
	31.3b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)))))) (exp.f32 (neg.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))))))))
▶	0.2b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
	0.2b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 6931/10000))
▶	0.2b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
✓	0.2b	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (.f32 v 2)))
	0.5b	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
✓	0.1b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	26.9b	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
▶	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	30.0b	1

Compiler

Compiled 585 to 430 computations (26.5% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	0.0b	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	0.0b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	0.1b	(log.f32 (/.f32 1/2 v))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series2.0ms (0%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
0.0ms	v	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
0.0ms	v	@	0	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
0.0ms	v	@	inf	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
0.0ms	v	@	0	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`rational_best-simplify-57`
562×	`rational_best-5`
560×	`rational_best-4`
560×	`rational_best-2`
560×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	90
1	102	90
2	303	90
3	1240	90
4	5322	90

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(log.f32 (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1/2 v)) (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1/2 v)) (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (/.f32 1 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (log.f32 (/.f32 1/2 v)))) (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))) (.f32 (log.f32 (/.f32 1/2 v)) (.f32 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))) (.f32 (log.f32 (/.f32 1/2 v)) (.f32 (log.f32 (/.f32 1/2 v)) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (log.f32 (/.f32 1/2 v)))) (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))) (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (/.f32 1/2 v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (log.f32 (/.f32 1/2 v))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log.f32 (/.f32 1/2 v))))))))
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v)) 6931/10000) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (exp.f32 (.f32 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6931/10000)))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (exp.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (exp.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (neg.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (-.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1 v)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 2) (-.f32 0 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))) (.f32 (neg.f32 (/.f32 1 v)) 2))))) 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simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational_best-simplify-132`
1346×	`rational_best-simplify-54`
1180×	`rational_best-simplify-2`
910×	`rational_best-simplify-80`
882×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	4753
1	494	4631
2	1634	4439
3	4715	4439

Stop Event

1×	node limit

Counts

147 → 175

Calls

Call 1

Inputs
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 3))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 2))))))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (*.f32 -1/6 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 3))))))
(/.f32 -1 v)
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 1/2 v)) 0)
(+.f32 0 (log.f32 (/.f32 1/2 v)))
(-.f32 (log.f32 (/.f32 1/2 v)) 0)
(-.f32 0 (neg.f32 (log.f32 (/.f32 1/2 v))))
(*.f32 (log.f32 (/.f32 1/2 v)) 1)
(*.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))
(.f32 (log.f32 (/.f32 1/2 v)) (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (log.f32 (/.f32 1/2 v)))))
(*.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))))
(*.f32 1 (log.f32 (/.f32 1/2 v)))
(*.f32 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 1 (log.f32 (/.f32 1/2 v))) (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))
(.f32 (.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (/.f32 1 (log.f32 (/.f32 1/2 v))))
(.f32 (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 (log.f32 (/.f32 1/2 v)))) (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v)))) (.f32 (log.f32 (/.f32 1/2 v)) (*.f32 (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))) (/.f32 (log.f32 (/.f32 1/2 v)) (log.f32 (/.f32 1/2 v))))))
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(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
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(/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) 2) 2)
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(pow.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) 1)
(neg.f32 (neg.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))))
(+.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (neg.f32 (/.f32 1 v)))
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(+.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))) (*.f32 (neg.f32 (/.f32 1 v)) 2))
(+.f32 (*.f32 (neg.f32 (/.f32 1 v)) 2) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))))
(*.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))
(*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 1)
(*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))))
(*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(*.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))
(*.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) -1)
(.f32 (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))
(.f32 (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (*.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))))
(.f32 (/.f32 (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))))
(.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(.f32 (/.f32 (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)))) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(.f32 (/.f32 (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(.f32 (/.f32 -1 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v))))
(/.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 1)
(/.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) -1)
(/.f32 (*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 2) 2)
(/.f32 (*.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) 2) -2)
(pow.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 1)
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 0)
(-.f32 0 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(*.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(*.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(.f32 (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (*.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(.f32 (/.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(.f32 (/.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(.f32 (/.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(/.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 2) 2)
(/.f32 (*.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) 2) -2)
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(neg.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))

Outputs
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))
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(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
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(/.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 1)
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
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(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
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(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) -1)
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (*.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 2) 2)
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (*.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) 2) -2)
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(pow.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 v)) 1)
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 0)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(-.f32 0 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (*.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(/.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 2) 2)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(/.f32 (*.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) 2) -2)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(neg.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_O	@	-inf	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
1.0ms	v	@	inf	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
0.0ms	cosTheta_i	@	0	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
0.0ms	cosTheta_i	@	inf	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
0.0ms	v	@	0	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best-simplify-82`
866×	`rational_best-simplify-57`
698×	`rational_best-simplify-80`
598×	`rational_best-simplify-43`
588×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	73	19
2	235	19
3	987	19
4	4334	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (/.f32 (*.f32 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (*.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -2 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))))

simplify193.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1900×	`rational_best-simplify-132`
822×	`rational_best-simplify-135`
798×	`rational_best-simplify-49`
746×	`rational_best-simplify-2`
642×	`rational_best-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	720
1	136	720
2	774	720
3	2692	720
4	6658	720

Stop Event

1×	node limit

Counts

42 → 38

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1
1
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)
(-.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
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(.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
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(.f32 (.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (/.f32 (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(.f32 (/.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(.f32 (/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(.f32 (/.f32 (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) 2) 2)
(/.f32 (-.f32 -2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) -2)
(pow.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(neg.f32 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))

Outputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1
1
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 0 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 1 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 1 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (/.f32 (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 (/.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (.f32 (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) 2) 2)
(/.f32 (+.f32 2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) 2)
(+.f32 1 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) 2))
(/.f32 (-.f32 -2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) -2)
(pow.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(neg.f32 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

localize140.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (neg.f32 (/.f32 1 v)))
✓	0.1b	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
	0.3b	(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
0.0ms	v	@	inf	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
0.0ms	v	@	-inf	(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
0.0ms	v	@	inf	(exp.f32 (neg.f32 (/.f32 1 v)))
0.0ms	v	@	-inf	(exp.f32 (neg.f32 (/.f32 1 v)))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`rational_best-simplify-57`
686×	`rational_best-simplify-47`
664×	`rational_best-5`
662×	`rational_best-4`
662×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	118	58
2	377	54
3	1510	54
4	6008	54

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 v v)) (*.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (*.f32 (/.f32 1 v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 (/.f32 1 v) -2)) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (*.f32 (/.f32 1 v) -2))) (exp.f32 (*.f32 (/.f32 1 v) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (*.f32 (/.f32 1 v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (*.f32 (/.f32 1 v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (*.f32 (/.f32 1 v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))))))

simplify225.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational_best-simplify-80`
1344×	`rational_best-simplify-78`
826×	`rational_best-simplify-135`
754×	`rational_best-simplify-43`
714×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1524
1	176	1524
2	305	1524
3	788	1524
4	3742	1524
5	7767	1524

Stop Event

1×	node limit

Counts

52 → 52

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)
(+.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))))
(-.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)
(-.f32 0 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))) 2)) 2)
(pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)
(neg.f32 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)
(+.f32 0 (exp.f32 (neg.f32 (/.f32 1 v))))
(-.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)
(-.f32 0 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))
(*.f32 1 (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (.f32 (/.f32 1 v) -2)))
(.f32 (exp.f32 (.f32 (/.f32 1 v) -2)) (exp.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (.f32 (/.f32 1 v) -2))) (exp.f32 (*.f32 (/.f32 1 v) -4)))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 2) 2)
(pow.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))

Outputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (/.f32 1 v) (.f32 1/6 (/.f32 1 (pow.f32 v 3)))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (/.f32 1 v) (.f32 1/6 (/.f32 1 (pow.f32 v 3)))))
(+.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(+.f32 0 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))))
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(-.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 0)
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(-.f32 0 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(/.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (/.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(/.f32 (.f32 (/.f32 1 (+.f32 v v)) (.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))) 2)) 2)
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(pow.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))) 1)
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(neg.f32 (neg.f32 (*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))))
(*.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (+.f32 (neg.f32 (/.f32 1 v)) 6931/10000)))
(+.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)
(exp.f32 (neg.f32 (/.f32 1 v)))
(+.f32 0 (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(-.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 0)
(exp.f32 (neg.f32 (/.f32 1 v)))
(-.f32 0 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 1 (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (.f32 (/.f32 1 v) -2)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (exp.f32 (.f32 (/.f32 1 v) -2)) (exp.f32 (/.f32 1 v)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(*.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (.f32 (/.f32 1 v) -2))) (exp.f32 (*.f32 (/.f32 1 v) -4)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 1 v) (neg.f32 (/.f32 1 v)))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v))))) (exp.f32 (neg.f32 (/.f32 1 v)))) (exp.f32 (.f32 (/.f32 1 v) -2)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(exp.f32 (neg.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 (neg.f32 (/.f32 1 v)))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 2) 2)
(exp.f32 (neg.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (neg.f32 (/.f32 1 v))) 1)
(exp.f32 (neg.f32 (/.f32 1 v)))
(neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 1 v)))))
(exp.f32 (neg.f32 (/.f32 1 v)))

localize103.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
✓	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
	0.1b	(log.f32 (/.f32 1/2 v))
	0.3b	(/.f32 1 (/.f32 1 (+.f32 v v)))

Compiler

Compiled 95 to 72 computations (24.2% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
0.0ms	v	@	-inf	(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
0.0ms	v	@	0	(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
0.0ms	v	@	inf	(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
0.0ms	v	@	-inf	(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`rational_best-simplify-57`
612×	`rational_best-5`
612×	`rational_best-2`
612×	`rational_best-3`
612×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	118	74
2	346	74
3	1410	74
4	5921	74

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (/.f32 1 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))) (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))) (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (*.f32 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))) (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))) (exp.f32 (*.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) (exp.f32 (neg.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (exp.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (neg.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (-.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1 v)) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (+.f32 6931/10000 (*.f32 (log.f32 (/.f32 1/2 v)) 4))) (-.f32 0 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (*.f32 2 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 2 (/.f32 1 v))) (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (*.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (*.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))))))

simplify229.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best-simplify-2`
1144×	`rational_best-simplify-132`
818×	`rational_best-simplify-44`
712×	`rational_best-simplify-43`
556×	`rational_best-simplify-80`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	166	3858
1	328	3840
2	591	3724
3	1913	3694
4	3826	3694
5	7609	3690

Stop Event

1×	node limit

Counts

76 → 101

Calls

Call 1

Inputs
(exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)))))
(exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))))
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(/.f32 -1 v)
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(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
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(/.f32 (.f32 2 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) 2)
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(.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))))
(.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))
(.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))))
(.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) -1)
(.f32 (/.f32 1 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (/.f32 1 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(.f32 (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))) (/.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))))))
(.f32 (/.f32 (/.f32 1 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (.f32 (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))
(.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (/.f32 (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (/.f32 (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (/.f32 -1 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(/.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)
(/.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) -1)
(/.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 2)
(/.f32 (.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) 2) -2)
(pow.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))

Outputs
(exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2)))))
(+.f32 (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2)))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)))))
(+.f32 (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3))))
(+.f32 (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2))) (+.f32 (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3)))))
(+.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 2)))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (pow.f32 v 3)))))
(exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3)))) (+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v))))
(+.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))) (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3))))))
(/.f32 -1 v)
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (.f32 2 (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 1 v))
(+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))) (/.f32 1 v))
(+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 1 v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 0)
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(+.f32 0 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(-.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 0)
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(-.f32 0 (neg.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(.f32 1 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 1)
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))))
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(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(.f32 (/.f32 (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 1 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(.f32 (/.f32 (/.f32 1 (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))) (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(.f32 (/.f32 -1 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(/.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(/.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) (/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))) -1)
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(/.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 2)
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(/.f32 (.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))) 2) -2)
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(pow.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v)) 1)
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v))))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (neg.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (*.f32 2 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))

localize227.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(.f32 (exp.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	16.1b	(log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))
✓	16.7b	(.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))

Compiler

Compiled 452 to 254 computations (43.8% saved)

series68.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
28.0ms	v	@	0	(log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))
6.0ms	v	@	inf	(log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))
6.0ms	v	@	-inf	(log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))
4.0ms	v	@	0	(.f32 (exp.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
3.0ms	cosTheta_O	@	0	(.f32 (exp.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`rational_best-5`
1452×	`rational_best-2`
1452×	`rational_best-3`
1452×	`rational_best-1`
1450×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	343
1	221	343
2	740	343
3	3137	343

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

(*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))

(log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))

(*.f32 (exp.f32 (*.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (/.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (/.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (*.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (/.f32 1 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))) (*.f32 2 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (/.f32 1 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (/.f32 1 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (/.f32 1 (+.f32 v v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (/.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))) 1)))))

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simplify564.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`rational_best-simplify-2`
890×	`rational_best-simplify-1`
856×	`rational_best-simplify-49`
814×	`rational_best-simplify-132`
702×	`rational_best-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	345	17801
1	667	17681
2	1093	17615
3	2119	17615
4	3871	17603
5	6792	17603

Stop Event

1×	node limit

Counts

115 → 159

Calls

Call 1

Inputs
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 3))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/24 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 5))) (+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
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(*.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)))
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(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(*.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)))
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(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(+.f32 (*.f32 -2 (log.f32 v)) (log.f32 1/4))
(+.f32 (*.f32 -2 (log.f32 v)) (log.f32 1/4))
(+.f32 (*.f32 -2 (log.f32 v)) (log.f32 1/4))
(+.f32 (*.f32 -2 (log.f32 v)) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 v))) (log.f32 1/4))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 v))) (log.f32 1/4))
(.f32 4 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (pow.f32 (/.f32 1/2 v) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))) (pow.f32 v 2)) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))))
(.f32 4 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (pow.f32 (/.f32 1/2 v) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))) (pow.f32 v 2)) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))))
(.f32 4 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (pow.f32 (/.f32 1/2 v) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))) (pow.f32 v 2)) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))))
(.f32 4 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (pow.f32 (/.f32 1/2 v) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))) (pow.f32 v 2)) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))))
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(pow.f32 (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) 1)

Outputs
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(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(.f32 1/4 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (pow.f32 v 2)))
(*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
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(.f32 1/4 (+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 (*.f32 cosTheta_i cosTheta_O) -1)) (pow.f32 v 3))))
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(*.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
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(*.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)))
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(.f32 (exp.f32 (.f32 2 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(/.f32 (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (/.f32 (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))))
(.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(/.f32 (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (.f32 2 (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))) 2)
(.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(pow.f32 (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))) 1)
(.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))) (.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 2 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1 (+.f32 v v)))))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))))

eval2.1s (12%)

Compiler: Compiled 57617 to 40758 computations (29.3% saved)

prune630.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	766	7	773
Fresh	2	2	4
Picked	1	0	1
Done	5	2	7
Total	774	11	785

Error

0.0b

Counts

785 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	19.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	0.2b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))))
	31.3b	(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))
	0.2b	(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))
	0.2b	(.f32 (.f32 2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
	0.2b	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (neg.f32 (/.f32 1 v))))
	0.5b	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
✓	0.1b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
	0.6b	(exp.f32 (/.f32 -1 v))
✓	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	30.0b	1

Compiler

Compiled 194 to 167 computations (13.9% saved)

regimes453.0ms (2.6%)

Counts

29 → 1

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 1 v)))))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 (.f32 v 2)))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000)) (/.f32 1 (*.f32 v 2)))
(.f32 (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)) (/.f32 1 (.f32 v 2)))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (.f32 2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (.f32 v 2)))))
(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
(.f32 (.f32 (/.f32 1 (+.f32 v v)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))) (exp.f32 6931/10000))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v))))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 v 2)))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1 (+.f32 v v))))))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (.f32 2 (log.f32 (/.f32 1/2 v)))))) (exp.f32 (.f32 2 (-.f32 (+.f32 6931/10000 (*.f32 2 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)))))) (exp.f32 (neg.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)) (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2))))))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 v v))) (.f32 (exp.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2)) (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (/.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v)))))) (.f32 (pow.f32 (/.f32 1 (+.f32 v v)) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))))))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))

Calls

9 calls:

145.0ms	cosTheta_O
113.0ms	sinTheta_i
96.0ms	v
21.0ms	(*.f32 cosTheta_i cosTheta_O)
19.0ms	sinTheta_O

Results

Error	Segments	Branch
0.1b	1	`cosTheta_i`
0.1b	1	`cosTheta_O`
0.1b	1	`sinTheta_i`
0.1b	1	`sinTheta_O`
0.1b	1	`v`
0.1b	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
0.1b	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
0.1b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.1b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 665 to 439 computations (34% saved)

regimes147.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))

Calls

6 calls:

116.0ms	sinTheta_i
8.0ms	cosTheta_i
6.0ms	sinTheta_O
6.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	cosTheta_O

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`cosTheta_O`
0.5b	1	`sinTheta_i`
0.5b	1	`sinTheta_O`
0.5b	1	`v`
0.5b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 88 to 60 computations (31.8% saved)

regimes34.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))

Outputs
(exp.f32 (/.f32 -1 v))

Calls

6 calls:

6.0ms	sinTheta_O
6.0ms	cosTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_i
5.0ms	v

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`cosTheta_O`
0.6b	1	`sinTheta_i`
0.6b	1	`sinTheta_O`
0.6b	1	`v`
0.6b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

regimes22.0ms (0.1%)

Accuracy

Total -10.2b remaining (-51.4%)

Threshold costs -10.2b (-51.4%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

Outputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Calls

6 calls:

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

Results

Error	Segments	Branch
19.8b	1	`cosTheta_i`
19.8b	1	`cosTheta_O`
19.8b	1	`sinTheta_i`
19.8b	1	`sinTheta_O`
19.8b	1	`v`
19.8b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (/.f32 -1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (/.f32 -1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1

Compiler

Compiled 53 to 45 computations (15.1% saved)

soundness15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`rational_best-simplify-2`
14×	`exponential-simplify-1`
12×	`rational_best-simplify-1`
4×	`rational_best-simplify-44`
4×	`rational_best-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	32	71
2	42	71
3	54	71
4	60	71

Stop Event

1×

saturated

Compiler

Compiled 104 to 57 computations (45.2% saved)

end70.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 93 to 77 computations (17.2% saved)