Details

analyze812.0ms (8.6%)

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)

sample4.5s (47%)

Results

4.4s	8256×	body	256	valid
35.0ms	137×	body	256	invalid

Bogosity

preprocess138.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1304×	`rational_best_oopsla_all_46_json_45_simplify-23`
1036×	`rational_best_oopsla_all_46_json_45_simplify-49`
878×	`rational_best_oopsla_all_46_json_45_simplify-10`
828×	`rational_best_oopsla_all_46_json_45_simplify-30`
796×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	825
1	243	825
2	559	825
3	1780	825
4	3828	825
5	6631	825
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational_best_oopsla_all_46_json_45_simplify-10`
1246×	`rational_best_oopsla_all_46_json_45_simplify-89`
984×	`rational_best_oopsla_all_46_json_45_simplify-74`
790×	`rational_best_oopsla_all_46_json_45_simplify-24`
666×	`rational_best_oopsla_all_46_json_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	43	75
2	105	75
3	317	75
4	1200	75
5	4661	75
6	7604	75

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 155 to 80 computations (48.4% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.0b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))))

Compiler

Compiled 30 to 21 computations (30% saved)

localize89.0ms (0.9%)

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 6931/10000 (/.f32 1 v))
✓	7.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	8.1b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 122 to 51 computations (58.2% saved)

series12.0ms (0.1%)

Counts

4 → 63

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-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)
1.0ms	sinTheta_O	@	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
1.0ms	sinTheta_i	@	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
1.0ms	sinTheta_i	@	inf	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`rational_best_oopsla_all_46_json_45_simplify-80`
874×	`rational_best_oopsla_all_46_json_45_simplify-35`
588×	`rational_best_oopsla_all_46_json_45_simplify-23`
582×	`rational_best_oopsla_all_46_json_45_simplify-89`
532×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	91	70
2	266	70
3	1153	70
4	5179	70

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational_best_oopsla_all_46_json_45_simplify-49`
960×	`rational_best_oopsla_all_46_json_45_simplify-72`
760×	`rational_best_oopsla_all_46_json_45_simplify-89`
610×	`rational_best_oopsla_all_46_json_45_simplify-74`
572×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4691
1	783	4379
2	3517	4373

Stop Event

1×	node limit

Counts

173 → 130

Calls

Call 1

Inputs
(/.f32 -1 v)
6931/10000
6931/10000
(.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)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(.f32 -1 (/.f32 (-.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
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(+.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 -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 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
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(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) 0)
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(-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) 0)
(-.f32 0 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 1)
(.f32 (/.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 sinTheta_i sinTheta_O) v) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (/.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))))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (/.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 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 (/.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 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) -1)
(neg.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))

Outputs
(/.f32 -1 v)
6931/10000
6931/10000
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(neg.f32 (/.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 (.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 -1 (/.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))
(+.f32 (.f32 -1 (/.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))
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(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
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(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_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 (.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))))))
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(.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.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) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_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 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_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)) 1)
(+.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 (-.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 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)))
(-.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))
(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))

eval51.0ms (0.5%)

Compiler: Compiled 5240 to 2047 computations (60.9% saved)

prune22.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	1	131

Error

0.0b

Counts

131 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))))

Compiler

Compiled 24 to 18 computations (25% saved)

localize81.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (/.f32 1 (+.f32 v v)))
✓	0.1b	(+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))
	0.1b	(-.f32 6931/10000 (/.f32 1 v))
	7.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 89 to 48 computations (46.1% saved)

series85.0ms (0.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	v	@	-inf	(log.f32 (/.f32 1 (+.f32 v v)))
19.0ms	v	@	0	(log.f32 (/.f32 1 (+.f32 v v)))
4.0ms	v	@	inf	(log.f32 (/.f32 1 (+.f32 v v)))
4.0ms	v	@	0	(+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))
2.0ms	v	@	-inf	(+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational_best_oopsla_all_46_json_45_simplify-23`
1116×	`rational_best_oopsla_all_46_json-2`
1116×	`rational_best_oopsla_all_46_json-1`
1116×	`rational_best_oopsla_all_46_json-4`
1116×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	64	52
2	137	52
3	455	52
4	2090	52

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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

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

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational_best_oopsla_all_46_json_45_simplify-72`
1222×	`rational_best_oopsla_all_46_json_45_simplify-49`
1028×	`rational_best_oopsla_all_46_json_45_simplify-35`
936×	`rational_best_oopsla_all_46_json_45_simplify-23`
602×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	187	3150
1	698	3056
2	4542	3056

Stop Event

1×	node limit

Counts

110 → 110

Calls

Call 1

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

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

eval90.0ms (1%)

Compiler: Compiled 6699 to 3996 computations (40.3% saved)

prune36.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	3	174

Error

0.0b

Counts

174 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.2b

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

▶

0.2b

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

✓

0.0b

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

Compiler

Compiled 61 to 45 computations (26.2% saved)

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 -1 v))))
	0.0b	(log.f32 (/.f32 1 (+.f32 v v)))
✓	0.1b	(+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (/.f32 -1 v))
	7.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 78 to 38 computations (51.3% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite144.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational_best_oopsla_all_46_json_45_simplify-7`
788×	`rational_best_oopsla_all_46_json_45_simplify-35`
642×	`rational_best_oopsla_all_46_json_45_simplify-80`
636×	`rational_best_oopsla_all_46_json_45_simplify-108`
586×	`rational_best_oopsla_all_46_json_45_simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	95	80
2	238	80
3	914	80
4	4455	80
5	7772	80

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational_best_oopsla_all_46_json_45_simplify-13`
1080×	`rational_best_oopsla_all_46_json_45_simplify-49`
934×	`rational_best_oopsla_all_46_json_45_simplify-72`
668×	`rational_best_oopsla_all_46_json_45_simplify-23`
586×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	221	6021
1	733	5993
2	3363	5993

Stop Event

1×	node limit

Counts

117 → 122

Calls

Call 1

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))
✓	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v)))
	7.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

24 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`rational_best_oopsla_all_46_json-2`
1876×	`rational_best_oopsla_all_46_json-1`
1876×	`rational_best_oopsla_all_46_json-4`
1876×	`rational_best_oopsla_all_46_json-3`
796×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	68	61
2	183	61
3	728	61
4	3605	61

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1662×	`rational_best_oopsla_all_46_json_45_simplify-13`
1112×	`rational_best_oopsla_all_46_json_45_simplify-72`
1094×	`rational_best_oopsla_all_46_json_45_simplify-49`
702×	`rational_best_oopsla_all_46_json_45_simplify-23`
630×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	4600
1	747	4566
2	3614	4558

Stop Event

1×	node limit

Counts

156 → 131

Calls

Call 1

Inputs
(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 (-.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)))
(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)))
(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))
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(+.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 (-.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)))
(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)))
(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)))
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)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 3) (pow.f32 v 3))) (+.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))))))
(/.f32 -1 v)
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 -1 v)
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(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
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(+.f32 0 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))))
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(-.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))) 0)
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(.f32 -1 (.f32 1 (neg.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))))))
(.f32 -1 (.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)))) (neg.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))) 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)))))
(.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))) (/.f32 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 (/.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)))) (/.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))))))
(.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))) (/.f32 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 (/.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)))) (.f32 (exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))) (/.f32 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 (/.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)))) (.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)))) (/.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)))))))
(.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))) (/.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))))))
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eval153.0ms (1.6%)

Compiler: Compiled 11767 to 6284 computations (46.6% saved)

prune76.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	342	4	346
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	344	5	349

Error

0.0b

Counts

349 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(exp.f32 (/.f32 -1 v))
▶	0.2b	(exp.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
✓	0.0b	(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))))
▶	0.2b	(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 1 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))))))
	30.0b	1

Compiler

Compiled 90 to 65 computations (27.8% saved)

localize65.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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 1 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))))))
✓	0.2b	(/.f32 1 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v)))
✓	0.2b	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v)) (/.f32 1 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 -1 v))))
	7.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 125 to 55 computations (56% saved)

series5.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational_best_oopsla_all_46_json_45_simplify-23`
1208×	`rational_best_oopsla_all_46_json_45_simplify-13`
1084×	`rational_best_oopsla_all_46_json_45_simplify-89`
886×	`rational_best_oopsla_all_46_json-2`
886×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	187
1	100	121
2	325	121
3	1835	121

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs

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

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

Outputs

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(+.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)))) (/.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))))))))))

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational_best_oopsla_all_46_json_45_simplify-7`
1238×	`rational_best_oopsla_all_46_json_45_simplify-72`
1008×	`rational_best_oopsla_all_46_json_45_simplify-89`
816×	`rational_best_oopsla_all_46_json_45_simplify-24`
788×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	12331
1	1218	11771
2	5046	11719

Stop Event

1×	node limit

Counts

219 → 190

Calls

Call 1

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

localize81.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`rational_best_oopsla_all_46_json_45_simplify-13`
1392×	`rational_best_oopsla_all_46_json_45_simplify-23`
974×	`rational_best_oopsla_all_46_json_45_simplify-87`
962×	`rational_best_oopsla_all_46_json-2`
962×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	56	61
2	116	61
3	376	61
4	1752	61

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1714×	`rational_best_oopsla_all_46_json_45_simplify-23`
1058×	`rational_best_oopsla_all_46_json_45_simplify-89`
980×	`rational_best_oopsla_all_46_json_45_simplify-13`
952×	`rational_best_oopsla_all_46_json_45_simplify-87`
890×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	314	4458
1	1271	4240

Stop Event

1×	node limit

Counts

176 → 182

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best_oopsla_all_46_json_45_simplify-35`
912×	`rational_best_oopsla_all_46_json_45_simplify-23`
852×	`rational_best_oopsla_all_46_json_45_simplify-13`
840×	`rational_best_oopsla_all_46_json_45_simplify-37`
624×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	37	11
2	81	11
3	248	11
4	1142	11
5	6513	11

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 -1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 -1 v)) (*.f32 0 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 -1 v)) (*.f32 0 (*.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v))))) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (/.f32 -1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (/.f32 -1 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simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational_best_oopsla_all_46_json_45_simplify-89`
1432×	`rational_best_oopsla_all_46_json_45_simplify-74`
1096×	`rational_best_oopsla_all_46_json_45_simplify-49`
1042×	`rational_best_oopsla_all_46_json_45_simplify-72`
992×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	818
1	412	818
2	2424	818

Stop Event

1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
1
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(-.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
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(.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 -1 v)))) (exp.f32 (/.f32 -1 v)))
(.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v)))) (neg.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v))))) (exp.f32 (/.f32 -1 v)))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (*.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))) (exp.f32 (/.f32 -1 v)))
(.f32 (neg.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v))))) (neg.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (neg.f32 (.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))) (neg.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))) (exp.f32 (/.f32 -1 v)))
(/.f32 (exp.f32 (/.f32 -1 v)) 1)
(/.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))))
(/.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v))) (/.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 -1 v)))))
(/.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v)))) (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 (exp.f32 (/.f32 -1 v))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 -1 v))) -1)
(neg.f32 (neg.f32 (exp.f32 (/.f32 -1 v))))

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

eval861.0ms (9.1%)

Compiler: Compiled 21362 to 12149 computations (43.1% saved)

prune208.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	505	1	506
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	506	5	511

Error

0.0b

Counts

511 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(exp.f32 (/.f32 -1 v))
✓	0.2b	(exp.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
✓	0.0b	(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (log.f32 (/.f32 1 (+.f32 v v))) (-.f32 6931/10000 (/.f32 1 v)))))
	0.2b	(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)) (neg.f32 v))))
	30.0b	1

Compiler

Compiled 81 to 61 computations (24.7% saved)

regimes48.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	cosTheta_i
6.0ms	sinTheta_O
6.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
0.0b	1	`cosTheta_i`
0.0b	1	`cosTheta_O`
0.0b	1	`sinTheta_i`
0.0b	1	`sinTheta_O`
0.0b	1	`v`
0.0b	1	`(exp.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)))))`
0.0b	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))))`
0.0b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.0b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 275 to 170 computations (38.2% saved)

regimes29.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_i
4.0ms	cosTheta_O
4.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`
0.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 139 to 86 computations (38.1% saved)

regimes26.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(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)) (neg.f32 v))))

Calls

6 calls:

4.0ms	cosTheta_O
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_i
4.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`
0.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 113 to 70 computations (38.1% saved)

regimes92.0ms (1%)

Accuracy

Total -29.8b remaining (-14670.5%)

Threshold costs -29.8b (-14670.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

75.0ms	cosTheta_O
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	v

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`
0.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 58 to 46 computations (20.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	165

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 81 to 61 computations (24.7% saved)

soundness151.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational_best_oopsla_all_46_json_45_simplify-10`
1246×	`rational_best_oopsla_all_46_json_45_simplify-89`
984×	`rational_best_oopsla_all_46_json_45_simplify-74`
790×	`rational_best_oopsla_all_46_json_45_simplify-24`
666×	`rational_best_oopsla_all_46_json_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	43	75
2	105	75
3	317	75
4	1200	75
5	4661	75
6	7604	75

Stop Event

1×	node limit

Compiler

Compiled 342 to 174 computations (49.1% saved)

end132.0ms (1.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 157 to 111 computations (29.3% saved)

Details

analyze812.0ms (8.6%)

sample4.5s (47%)

preprocess138.0ms (1.5%)

simplify133.0ms (1.4%)

eval2.0ms (0%)

prune2.0ms (0%)

localize89.0ms (0.9%)

series12.0ms (0.1%)

rewrite93.0ms (1%)

simplify106.0ms (1.1%)

eval51.0ms (0.5%)

prune22.0ms (0.2%)

localize81.0ms (0.9%)

series85.0ms (0.9%)

rewrite93.0ms (1%)

simplify109.0ms (1.1%)

eval90.0ms (1%)

prune36.0ms (0.4%)

localize69.0ms (0.7%)

series8.0ms (0.1%)

rewrite144.0ms (1.5%)

simplify105.0ms (1.1%)

localize34.0ms (0.4%)

series4.0ms (0%)

rewrite78.0ms (0.8%)

simplify97.0ms (1%)

eval153.0ms (1.6%)

prune76.0ms (0.8%)

localize65.0ms (0.7%)

series5.0ms (0%)

rewrite84.0ms (0.9%)

simplify163.0ms (1.7%)

localize81.0ms (0.9%)

series1.0ms (0%)

rewrite78.0ms (0.8%)

simplify112.0ms (1.2%)

localize14.0ms (0.1%)

series0.0ms (0%)

rewrite84.0ms (0.9%)

simplify64.0ms (0.7%)

eval861.0ms (9.1%)

prune208.0ms (2.2%)

regimes48.0ms (0.5%)

regimes29.0ms (0.3%)

regimes26.0ms (0.3%)

regimes92.0ms (1%)

simplify3.0ms (0%)

soundness151.0ms (1.6%)

end132.0ms (1.4%)

Profiling