Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
100%	0.1%	0%	99.9%	0%	0%	0%	1

Compiler

Compiled 33 to 24 computations (27.3% saved)

sample4.3s (42.9%)

Results

4.3s

8256×

body

256

valid

Bogosity

preprocess342.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

1168×	`rational_best-simplify-57`
1030×	`rational_best-simplify-3`
822×	`rational_best-simplify-1`
788×	`rational_best-simplify-51`
568×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	32	76
2	43	76
3	72	76
4	131	76
5	215	76
6	375	76
7	823	76
8	2374	76
9	7403	76
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(+.f32 (-.f32 1 uy) (*.f32 uy maxCos))
(+.f32 (-.f32 1 maxCos) (*.f32 maxCos ux))
(+.f32 (-.f32 1 ux) (*.f32 ux uy))

Outputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(+.f32 1 (*.f32 ux (+.f32 maxCos -1)))
(+.f32 1 (-.f32 (*.f32 ux maxCos) ux))
(+.f32 (-.f32 1 uy) (*.f32 uy maxCos))
(+.f32 (-.f32 1 uy) (*.f32 maxCos uy))
(+.f32 1 (-.f32 (*.f32 maxCos uy) uy))
(+.f32 (-.f32 1 maxCos) (*.f32 maxCos ux))
(+.f32 (-.f32 1 maxCos) (*.f32 ux maxCos))
(+.f32 1 (-.f32 (*.f32 ux maxCos) maxCos))
(+.f32 (-.f32 1 ux) (*.f32 ux uy))
(+.f32 1 (-.f32 (*.f32 ux uy) ux))
(+.f32 1 (*.f32 ux (+.f32 uy -1)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify248.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational_best-simplify-83`
1160×	`rational_best-simplify-67`
1058×	`rational_best-simplify-56`
962×	`rational_best-simplify-66`
916×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	13	19
2	18	19
3	30	19
4	49	19
5	79	19
6	130	19
7	280	19
8	782	19
9	2959	19

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Outputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
(+.f32 1 (*.f32 ux (+.f32 maxCos -1)))
(+.f32 1 (-.f32 (*.f32 ux maxCos) ux))

eval1.0ms (0%)

Compiler: Compiled 31 to 18 computations (41.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
▶	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Compiler

Compiled 20 to 14 computations (30% saved)

localize99.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	ux	@	inf	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
1.0ms	ux	@	-inf	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
0.0ms	ux	@	0	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
0.0ms	maxCos	@	inf	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
0.0ms	maxCos	@	0	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

rewrite273.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`rational_best-simplify-48`
878×	`rational_best-simplify-52`
798×	`rational_best-simplify-57`
796×	`rational_best-simplify-51`
554×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	54	19
2	112	19
3	331	19
4	1321	19

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

Inputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (.f32 ux (-.f32 1 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (+.f32 ux (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) (.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) (-.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux maxCos) (+.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux maxCos) (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux maxCos) (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (/.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux maxCos) (/.f32 (+.f32 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))) (.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (+.f32 ux (+.f32 ux -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) (.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (-.f32 -1 (.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (+.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 2 (+.f32 ux ux)) (-.f32 1 (+.f32 ux (.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 2 (+.f32 ux ux)) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux (+.f32 maxCos maxCos)) (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 2 ux) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 ux maxCos)) ux)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 1 ux) (.f32 ux (+.f32 maxCos maxCos))) (.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (+.f32 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux maxCos)) (.f32 ux 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (/.f32 (+.f32 (.f32 ux (-.f32 1 maxCos)) (+.f32 ux (-.f32 -1 (.f32 ux maxCos)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2)) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 ux -2)) (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (.f32 -3 (+.f32 1/2 (/.f32 ux -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 ux -2)) (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (+.f32 maxCos maxCos))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 ux -1) (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))) (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 ux (/.f32 (.f32 ux maxCos) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (/.f32 (.f32 ux maxCos) -2) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 -1 (/.f32 (.f32 ux maxCos) -2)) ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux maxCos) 2) (/.f32 (-.f32 ux (+.f32 (-.f32 2 ux) (.f32 ux maxCos))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) (+.f32 ux (+.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux (-.f32 maxCos 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 ux maxCos) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) (/.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) 2)) (/.f32 (.f32 ux maxCos) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 ux maxCos) (+.f32 1/2 (/.f32 ux -2))) (-.f32 -1/2 (/.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (.f32 ux maxCos) 2)) (+.f32 ux (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 3 (+.f32 1/2 (/.f32 ux -2))) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 -1/2 (/.f32 ux -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 3/2 (.f32 ux 1/2)) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 ux (+.f32 1/2 (/.f32 ux -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 ux (.f32 maxCos 3)) 2) (+.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 ux -2) (-.f32 (.f32 ux 1/2) (+.f32 1 (.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (.f32 ux 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (-.f32 maxCos 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 4) (/.f32 (.f32 -3 (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) ux) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 (.f32 ux 1/2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) ux) (+.f32 -1 (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (.f32 (.f32 ux maxCos) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1))))) (/.f32 (.f32 ux maxCos) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (+.f32 ux (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 1 ux) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (+.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (neg.f32 ux) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (+.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (.f32 -3 (+.f32 1/2 (/.f32 ux -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 ux -2) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 3 (+.f32 1/2 (/.f32 ux -2))) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 -1/2 (/.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 3/2 (.f32 ux 1/2)) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 ux (+.f32 1/2 (/.f32 ux -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 2 ux) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) ux)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) ux) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 (.f32 ux 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (.f32 ux (.f32 maxCos 3)) 2) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) (/.f32 (.f32 ux maxCos) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 ux maxCos) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (/.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1/2 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (-.f32 -1/2 (/.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (.f32 ux 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1/2 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux maxCos))) (.f32 ux 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 3) 2) 2) (/.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 3) 4) (/.f32 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (-.f32 1 ux) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (/.f32 (.f32 ux (.f32 maxCos 3)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (.f32 ux maxCos) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 (.f32 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(#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (.f32 ux 1/2) -1)) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 ux maxCos) (+.f32 (+.f32 ux -1) (/.f32 (.f32 ux maxCos) 2))) (-.f32 (/.f32 (.f32 ux maxCos) 2) (.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 1 (.f32 ux (-.f32 maxCos 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))) -1)))) (#(struct:change 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Outputs

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2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 (*.f32 -3 (+.f32 1/2 (/.f32 ux -2))) (/.f32 (*.f32 ux maxCos) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (-.f32 2 ux) (*.f32 ux maxCos)) 2) (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (+.f32 (-.f32 2 ux) (*.f32 ux maxCos)) (*.f32 ux maxCos)) 2) (*.f32 ux 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 (*.f32 ux (-.f32 1 maxCos)) (+.f32 -1/2 (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) 2) (-.f32 1 ux)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (+.f32 1 (*.f32 ux maxCos)) (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 ux (+.f32 -1/2 (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (*.f32 ux maxCos) 2) (+.f32 (*.f32 ux 1/2) -1)) (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 ux maxCos) (+.f32 (+.f32 ux -1) (/.f32 (*.f32 ux maxCos) 2))) (-.f32 (/.f32 (*.f32 ux maxCos) 2) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) (*.f32 ux (*.f32 2 (*.f32 maxCos 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 ux (*.f32 2 (*.f32 maxCos 4))) (*.f32 (-.f32 2 (+.f32 ux ux)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (-.f32 1 ux) 4) (neg.f32 (*.f32 ux (*.f32 maxCos 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux (*.f32 maxCos 4)) (neg.f32 (*.f32 (-.f32 1 ux) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux (*.f32 maxCos 4)) (*.f32 2 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))))))))

simplify316.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational_best-simplify-57`
1206×	`rational_best-simplify-3`
1064×	`rational_best-simplify-52`
1018×	`rational_best-simplify-48`
814×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4526
1	882	4390
2	2517	4026

Stop Event

1×	node limit

Counts

128 → 213

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(*.f32 (-.f32 maxCos 1) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(-.f32 1 ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 1 (*.f32 ux (-.f32 1 maxCos)))
(-.f32 1 (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) (+.f32 ux (+.f32 ux -1))))
(-.f32 (-.f32 1 ux) (*.f32 ux (neg.f32 maxCos)))
(-.f32 (-.f32 1 ux) (-.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos maxCos))))
(-.f32 (-.f32 1 ux) (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) (+.f32 ux -1)))
(-.f32 (*.f32 ux maxCos) (+.f32 ux -1))
(-.f32 (.f32 ux maxCos) (-.f32 (.f32 ux maxCos) (+.f32 1 (*.f32 ux (-.f32 maxCos 1)))))
(-.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (*.f32 ux (-.f32 maxCos 1)))) 0))
(-.f32 (.f32 ux maxCos) (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) 2)))
(-.f32 (.f32 ux maxCos) (/.f32 (+.f32 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))) (+.f32 (*.f32 ux maxCos) (+.f32 ux -1))) 2))
(-.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 0)
(-.f32 0 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))))
(-.f32 0 (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))) (*.f32 ux (neg.f32 maxCos))))
(-.f32 0 (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) (+.f32 ux (+.f32 ux -2))))
(-.f32 0 (+.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) (.f32 (*.f32 ux maxCos) -2)))
(-.f32 (neg.f32 ux) (-.f32 -1 (*.f32 ux maxCos)))
(-.f32 (neg.f32 ux) (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) (+.f32 ux -2)))
(-.f32 (-.f32 2 (+.f32 ux ux)) (-.f32 1 (+.f32 ux (*.f32 ux maxCos))))
(-.f32 (-.f32 2 (+.f32 ux ux)) (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) 0))
(-.f32 (.f32 ux (+.f32 maxCos maxCos)) (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))
(-.f32 (-.f32 2 ux) (+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) ux))
(-.f32 (+.f32 1 (*.f32 ux maxCos)) ux)
(-.f32 (+.f32 (-.f32 1 ux) (.f32 ux (+.f32 maxCos maxCos))) (.f32 ux maxCos))
(-.f32 1/2 (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)))
(-.f32 1/2 (+.f32 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux maxCos)) (.f32 ux 1/2)))
(-.f32 1/2 (/.f32 (+.f32 (.f32 ux (-.f32 1 maxCos)) (+.f32 ux (-.f32 -1 (.f32 ux maxCos)))) 2))
(-.f32 (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2)) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)))
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (*.f32 ux maxCos)))
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (.f32 -3 (+.f32 1/2 (/.f32 ux -2)))))
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (-.f32 -1/2 (/.f32 ux -2)) (*.f32 ux (neg.f32 maxCos))))
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (/.f32 (-.f32 (+.f32 ux -1) (*.f32 ux (+.f32 maxCos maxCos))) 2))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 ux -1) (/.f32 (.f32 ux maxCos) -2)))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1)))) (/.f32 (.f32 ux maxCos) -2)))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 ux (/.f32 (.f32 ux maxCos) -2)) -1))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (/.f32 (.f32 ux maxCos) -2) (+.f32 ux -1)))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (+.f32 -1 (/.f32 (.f32 ux maxCos) -2)) ux))
(-.f32 (/.f32 (.f32 ux maxCos) 2) (/.f32 (-.f32 ux (+.f32 (-.f32 2 ux) (.f32 ux maxCos))) 2))
(-.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) (+.f32 ux (+.f32 ux -2)))
(-.f32 (*.f32 ux (-.f32 maxCos 1)) -1)
(-.f32 (+.f32 (.f32 ux maxCos) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) 2))
(-.f32 (+.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) 2)) (/.f32 (.f32 ux maxCos) -2))
(-.f32 (+.f32 (*.f32 ux maxCos) (+.f32 1/2 (/.f32 ux -2))) (-.f32 -1/2 (/.f32 ux -2)))
(-.f32 (+.f32 1 (/.f32 (.f32 ux maxCos) 2)) (+.f32 ux (/.f32 (.f32 ux maxCos) -2)))
(-.f32 (.f32 3 (+.f32 1/2 (/.f32 ux -2))) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 -1/2 (/.f32 ux -2))))
(-.f32 (-.f32 3/2 (.f32 ux 1/2)) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 ux (+.f32 1/2 (/.f32 ux -2)))))
(-.f32 (/.f32 (.f32 ux (.f32 maxCos 3)) 2) (+.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)) (/.f32 (.f32 ux maxCos) -2)))
(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
(-.f32 (/.f32 ux -2) (-.f32 (.f32 ux 1/2) (+.f32 1 (.f32 ux maxCos))))
(-.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (+.f32 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2)) (*.f32 ux 1/2)))
(-.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (-.f32 maxCos 1))) 2))
(-.f32 (/.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 4) (/.f32 (.f32 -3 (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 maxCos 1)) 2))) 2))
(-.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) ux) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (-.f32 (.f32 ux 1/2) 3/2)))
(-.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) ux) (+.f32 -1 (/.f32 (.f32 ux maxCos) -2)))
(-.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) (.f32 (*.f32 ux maxCos) -2))
(-.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (-.f32 (.f32 ux maxCos) (+.f32 1 (.f32 ux (-.f32 maxCos 1))))) (/.f32 (.f32 ux maxCos) -2))
(-.f32 (-.f32 1 (-.f32 1 (+.f32 ux (*.f32 ux maxCos)))) (+.f32 ux (+.f32 ux -1)))
(-.f32 (-.f32 (-.f32 1 ux) (-.f32 1 (+.f32 ux (*.f32 ux maxCos)))) (+.f32 ux -1))
(-.f32 (-.f32 (neg.f32 ux) (-.f32 1 (+.f32 ux (*.f32 ux maxCos)))) (+.f32 ux -2))
(-.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (.f32 -3 (+.f32 1/2 (/.f32 ux -2))))
(-.f32 (-.f32 (.f32 ux -2) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) -2)
(-.f32 (-.f32 (.f32 3 (+.f32 1/2 (/.f32 ux -2))) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 -1/2 (/.f32 ux -2)))
(-.f32 (-.f32 (-.f32 3/2 (.f32 ux 1/2)) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 ux (+.f32 1/2 (/.f32 ux -2))))
(-.f32 (-.f32 (-.f32 2 ux) (-.f32 1 (+.f32 ux (*.f32 ux maxCos)))) ux)
(-.f32 (-.f32 (-.f32 (+.f32 1/2 (/.f32 ux -2)) ux) (-.f32 1 (+.f32 ux (.f32 ux maxCos)))) (-.f32 (.f32 ux 1/2) 3/2))
(-.f32 (-.f32 (/.f32 (.f32 ux (.f32 maxCos 3)) 2) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) (/.f32 (.f32 ux maxCos) -2))
(-.f32 (-.f32 (.f32 ux maxCos) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) 2))
(-.f32 (-.f32 1/2 (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))
(-.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (-.f32 -1/2 (/.f32 ux -2)))
(-.f32 (-.f32 (-.f32 1/2 (/.f32 (.f32 ux maxCos) -2)) (+.f32 -1/2 (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))) (*.f32 ux 1/2))
(-.f32 (-.f32 1/2 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (.f32 ux maxCos))) (.f32 ux 1/2))
(-.f32 (/.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 3) 2) 2) (/.f32 (+.f32 -1/2 (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2)) 2))
(-.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 3) 4) (/.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))) 4))
(-.f32 (/.f32 (+.f32 (-.f32 1 ux) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (-.f32 (-.f32 -1/2 (/.f32 ux -2)) (/.f32 (.f32 ux (*.f32 maxCos 3)) 2)) 2))
(-.f32 (/.f32 (+.f32 (.f32 ux maxCos) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 (.f32 -3 (+.f32 1/2 (/.f32 ux -2))) (/.f32 (.f32 ux maxCos) -2)) 2))
(-.f32 (/.f32 (+.f32 (-.f32 2 ux) (.f32 ux maxCos)) 2) (/.f32 (.f32 ux (-.f32 1 maxCos)) 2))
(-.f32 (/.f32 (+.f32 (+.f32 (-.f32 2 ux) (.f32 ux maxCos)) (.f32 ux maxCos)) 2) (*.f32 ux 1/2))
(-.f32 (/.f32 (+.f32 1 (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 (.f32 ux (-.f32 1 maxCos)) (+.f32 -1/2 (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))) 2))
(-.f32 (/.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)) 2) (-.f32 1 ux)) 2))
(-.f32 (/.f32 (+.f32 (+.f32 1 (.f32 ux maxCos)) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 maxCos 1)) 2))) 2) (/.f32 (+.f32 ux (+.f32 -1/2 (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))) 2))
(-.f32 (-.f32 (/.f32 (.f32 ux maxCos) 2) (+.f32 (.f32 ux 1/2) -1)) (/.f32 (*.f32 ux (-.f32 1 maxCos)) 2))
(-.f32 (-.f32 (.f32 ux maxCos) (+.f32 (+.f32 ux -1) (/.f32 (.f32 ux maxCos) 2))) (-.f32 (/.f32 (.f32 ux maxCos) 2) (.f32 ux maxCos)))
(.f32 1 (+.f32 1 (.f32 ux (-.f32 maxCos 1))))
(.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 1)
(.f32 -1 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))))
(.f32 2 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1/2))
(.f32 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2))
(.f32 (+.f32 ux (-.f32 -1 (.f32 ux maxCos))) -1)
(.f32 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 4))
(.f32 (.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 2) 4) 1/8)
(/.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)
(/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 2) 2)
(/.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))) -1)
(/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) 4) 4)
(/.f32 (.f32 (.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 2) 4) 8)
(/.f32 (.f32 (+.f32 1 (.f32 ux (-.f32 maxCos 1))) -2) -2)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 ux (.f32 2 (.f32 maxCos 4)))) 8)
(/.f32 (+.f32 (.f32 ux (.f32 2 (.f32 maxCos 4))) (.f32 (-.f32 2 (+.f32 ux ux)) 4)) 8)
(/.f32 (-.f32 (.f32 (-.f32 1 ux) 4) (neg.f32 (.f32 ux (*.f32 maxCos 4)))) 4)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (neg.f32 (*.f32 (-.f32 1 ux) 4))) 4)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))) 2)
(pow.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)
(neg.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))))

Outputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(*.f32 (-.f32 maxCos 1) ux)
(*.f32 (+.f32 maxCos -1) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
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(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 (.f32 maxCos 4) (.f32 2 ux))) 8)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (+.f32 (.f32 (-.f32 1 ux) 8) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (-.f32 (.f32 (-.f32 1 ux) 4) (neg.f32 (.f32 ux (*.f32 maxCos 4)))) 4)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 (.f32 maxCos 4) (.f32 2 ux))) 8)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (+.f32 (.f32 (-.f32 1 ux) 8) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (neg.f32 (*.f32 (-.f32 1 ux) 4))) 4)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 (.f32 maxCos 4) (.f32 2 ux))) 8)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (+.f32 (.f32 (-.f32 1 ux) 8) (.f32 ux (*.f32 maxCos 8))) 8)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))) 2)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 -1 (+.f32 ux (.f32 maxCos ux))))) 2)
(/.f32 (-.f32 (.f32 maxCos (.f32 4 ux)) (.f32 2 (+.f32 -1 (+.f32 ux (.f32 maxCos ux))))) 2)
(/.f32 (-.f32 (.f32 maxCos (.f32 ux 4)) (.f32 2 (+.f32 -1 (.f32 ux (+.f32 maxCos 1))))) 2)
(pow.f32 (+.f32 1 (*.f32 ux (-.f32 maxCos 1))) 1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(neg.f32 (+.f32 ux (-.f32 -1 (*.f32 ux maxCos))))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (*.f32 maxCos ux) (+.f32 ux -1))

localize64.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	ux	@	0	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
0.0ms	ux	@	-inf	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
0.0ms	maxCos	@	inf	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
0.0ms	ux	@	inf	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
0.0ms	maxCos	@	-inf	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`rational_best-simplify-51`
1062×	`rational_best-simplify-57`
1060×	`rational_best-simplify-83`
584×	`rational_best-simplify-75`
582×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	52	19
2	107	19
3	321	19
4	1364	19

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 ux (+.f32 maxCos -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux maxCos) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 1 (.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (+.f32 maxCos -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (neg.f32 maxCos)) (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (+.f32 maxCos maxCos)) (neg.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 ux maxCos)) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (/.f32 (+.f32 (.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 ux) (.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) (+.f32 1 (.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (.f32 maxCos 1/2)) (/.f32 (-.f32 0 (-.f32 (.f32 ux (-.f32 2 maxCos)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 3) 2) (/.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) (.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (-.f32 (neg.f32 ux) (.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 ux maxCos) (/.f32 ux -2)) (neg.f32 (+.f32 -1 (.f32 ux 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 ux -2)) (neg.f32 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (.f32 ux 1/2)) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux) (+.f32 1 (.f32 ux (.f32 maxCos 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (.f32 ux (.f32 maxCos 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (neg.f32 (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) (.f32 3 (.f32 ux (.f32 maxCos 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))) (/.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (.f32 ux (-.f32 2 maxCos))) (neg.f32 (neg.f32 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (-.f32 ux (.f32 ux (.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux maxCos) (+.f32 (.f32 ux 1/2) -1/2)) (neg.f32 (+.f32 (.f32 ux 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (-.f32 -1 (.f32 ux maxCos))) (neg.f32 (neg.f32 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux maxCos)) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 1 (.f32 ux maxCos)) (.f32 ux 1/2)) (/.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) ux) (.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux maxCos)) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux 1/2)) (neg.f32 (+.f32 (.f32 ux maxCos) (.f32 ux 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 ux (.f32 ux (.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (/.f32 (.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux maxCos) (+.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2))) -1) (.f32 ux (.f32 maxCos 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 -1 (.f32 ux maxCos)) -1) (/.f32 (neg.f32 (neg.f32 ux)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 -1 (.f32 ux 1/2)) -1) (/.f32 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) 2) 4) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 1 (.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (.f32 (+.f32 ux -1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 ux (+.f32 maxCos -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux maxCos) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (+.f32 maxCos -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (neg.f32 maxCos)) (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (+.f32 maxCos maxCos)) (neg.f32 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (/.f32 (+.f32 (*.f32 (*.f32 ux (+.f32 maxCos -1)) 2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 ux) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1/2 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2)) (+.f32 1/2 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos 1/2)) (+.f32 (*.f32 ux (*.f32 maxCos 1/2)) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos 1/2)) (/.f32 (-.f32 0 (-.f32 (*.f32 ux (-.f32 2 maxCos)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 2) (/.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) (*.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) 1) (-.f32 (neg.f32 ux) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux maxCos) (/.f32 ux -2)) (neg.f32 (+.f32 -1 (*.f32 ux 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2) (+.f32 1 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2) (+.f32 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2)) (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 ux -2)) (neg.f32 (-.f32 (*.f32 ux 1/2) (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2) 1) (/.f32 (*.f32 ux (+.f32 maxCos -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (*.f32 ux 1/2)) (/.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (/.f32 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux (*.f32 maxCos 1/2)) ux) (+.f32 1 (*.f32 ux (*.f32 maxCos 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux (*.f32 maxCos 1/2))) (-.f32 (*.f32 ux (*.f32 maxCos 1/2)) ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux (*.f32 maxCos 1/2)) (-.f32 1 ux)) (*.f32 ux (*.f32 maxCos 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux (*.f32 maxCos 1/2)) (-.f32 1 ux)) (neg.f32 (/.f32 (*.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux (*.f32 maxCos 1/2)) (+.f32 (*.f32 ux maxCos) (+.f32 ux -1))) (*.f32 3 (*.f32 ux (*.f32 maxCos 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (-.f32 (*.f32 ux 1/2) (*.f32 ux maxCos))) (/.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 ux (-.f32 2 maxCos))) (neg.f32 (neg.f32 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 (*.f32 ux maxCos) -2)) (neg.f32 (-.f32 ux (*.f32 ux (*.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux 1/2) -1/2)) (neg.f32 (+.f32 (*.f32 ux 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (-.f32 -1 (*.f32 ux maxCos))) (neg.f32 (neg.f32 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux (+.f32 maxCos maxCos)) (*.f32 ux maxCos)) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux (+.f32 maxCos maxCos)) (*.f32 ux (*.f32 maxCos 1/2))) (neg.f32 (+.f32 (+.f32 ux -1) (*.f32 ux (*.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 1 (*.f32 ux maxCos)) (*.f32 ux 1/2)) (/.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) 1) ux) (*.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) 1) (*.f32 ux maxCos)) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) 1) (*.f32 ux 1/2)) (neg.f32 (+.f32 (*.f32 ux maxCos) (*.f32 ux 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 (*.f32 ux (+.f32 maxCos maxCos)) 1) (*.f32 ux (*.f32 maxCos 1/2))) (neg.f32 (+.f32 ux (*.f32 ux (*.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 ux) (/.f32 (*.f32 ux maxCos) -2)) (neg.f32 (/.f32 (*.f32 ux maxCos) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos 1/2))) (-.f32 (*.f32 ux maxCos) (+.f32 (+.f32 ux -1) (*.f32 ux (*.f32 maxCos 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (+.f32 ux -1) (*.f32 ux (*.f32 maxCos 1/2))) -1) (*.f32 ux (*.f32 maxCos 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 -1 (*.f32 ux maxCos)) -1) (/.f32 (neg.f32 (neg.f32 ux)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 -1 (*.f32 ux 1/2)) -1) (/.f32 (-.f32 (*.f32 ux 1/2) (*.f32 ux maxCos)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 ux (+.f32 maxCos -1)) 2) 4) (/.f32 (+.f32 (*.f32 ux (+.f32 maxCos -1)) (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux (*.f32 maxCos 4)) (*.f32 2 (*.f32 (+.f32 ux -1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux (*.f32 maxCos 4)) (*.f32 2 (+.f32 (*.f32 ux maxCos) (+.f32 ux -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))))))))

simplify266.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational_best-simplify-56`
1046×	`rational_best-simplify-55`
1000×	`rational_best-simplify-49`
796×	`rational_best-simplify-63`
768×	`rational_best-simplify-66`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	1920
1	526	1916
2	1222	1900
3	4101	1900

Stop Event

1×	node limit

Counts

94 → 100

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(*.f32 (-.f32 maxCos 1) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(-.f32 1 ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 ux (+.f32 maxCos -1)))
(+.f32 (*.f32 ux maxCos) (-.f32 1 ux))
(+.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 0)
(+.f32 0 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))))
(+.f32 (*.f32 ux (+.f32 maxCos -1)) 1)
(+.f32 (.f32 ux (neg.f32 maxCos)) (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)))
(+.f32 (.f32 ux (+.f32 maxCos maxCos)) (neg.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1))))
(+.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 ux))
(+.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))
(+.f32 1/2 (/.f32 (+.f32 (.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) 2))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(+.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux maxCos)))
(+.f32 (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))
(+.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)))
(+.f32 (.f32 ux (.f32 maxCos 1/2)) (/.f32 (-.f32 0 (-.f32 (*.f32 ux (-.f32 2 maxCos)) 2)) 2))
(+.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 3) 2) (/.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) 2))
(+.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) (.f32 ux (neg.f32 maxCos)))
(+.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (-.f32 (neg.f32 ux) (.f32 ux maxCos)))
(+.f32 (+.f32 (.f32 ux maxCos) (/.f32 ux -2)) (neg.f32 (+.f32 -1 (.f32 ux 1/2))))
(+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))
(+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1))
(+.f32 (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))
(+.f32 (+.f32 1 (/.f32 ux -2)) (neg.f32 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))))
(+.f32 (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))
(+.f32 (-.f32 1/2 (.f32 ux 1/2)) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) 2))
(+.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (/.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 2) 2))
(+.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 4))
(+.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux) (+.f32 1 (.f32 ux (.f32 maxCos 1/2))))
(+.f32 (+.f32 1 (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux))
(+.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (.f32 ux (.f32 maxCos 1/2)))
(+.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (neg.f32 (/.f32 (*.f32 ux maxCos) -2)))
(+.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) (.f32 3 (.f32 ux (.f32 maxCos 1/2))))
(+.f32 (-.f32 1 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))) (/.f32 ux -2))
(+.f32 (-.f32 1 (*.f32 ux (-.f32 2 maxCos))) (neg.f32 (neg.f32 ux)))
(+.f32 (-.f32 1 (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (-.f32 ux (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 (-.f32 (.f32 ux maxCos) (+.f32 (.f32 ux 1/2) -1/2)) (neg.f32 (+.f32 (*.f32 ux 1/2) -1/2)))
(+.f32 (-.f32 0 (-.f32 -1 (*.f32 ux maxCos))) (neg.f32 (neg.f32 (neg.f32 ux))))
(+.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux maxCos)) (-.f32 1 ux))
(+.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 (+.f32 ux -1) (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 (-.f32 (+.f32 1 (.f32 ux maxCos)) (.f32 ux 1/2)) (/.f32 ux -2))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) ux) (.f32 ux (neg.f32 maxCos)))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux maxCos)) (neg.f32 ux))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux 1/2)) (neg.f32 (+.f32 (.f32 ux maxCos) (.f32 ux 1/2))))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 ux (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 (-.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (/.f32 (.f32 ux maxCos) -2)))
(+.f32 (-.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux maxCos) (+.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2)))))
(+.f32 (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2))) -1) (.f32 ux (.f32 maxCos 1/2)))
(+.f32 (/.f32 (-.f32 -1 (*.f32 ux maxCos)) -1) (/.f32 (neg.f32 (neg.f32 ux)) -1))
(+.f32 (/.f32 (+.f32 -1 (.f32 ux 1/2)) -1) (/.f32 (-.f32 (.f32 ux 1/2) (*.f32 ux maxCos)) -1))
(+.f32 (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) 2) 4) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos))))) 4))
(.f32 1 (+.f32 1 (.f32 ux (+.f32 maxCos -1))))
(.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1)
(.f32 -1 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))))
(.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) -1)
(.f32 2 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1/2))
(.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 1/2)
(.f32 1/2 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))
(.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4))
(.f32 (.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 1/8)
(/.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)
(/.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) -1)
(/.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 2)
(/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) 4)
(/.f32 (.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 8)
(/.f32 (.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) 2) -2)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (.f32 (+.f32 ux -1) 2))) 4)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))) 2)
(pow.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)
(neg.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))))

Outputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (-.f32 maxCos 1) ux)
(*.f32 (+.f32 maxCos -1) ux)
(-.f32 (*.f32 maxCos ux) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
(*.f32 (+.f32 maxCos -1) ux)
(-.f32 (*.f32 maxCos ux) ux)
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 1 ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(*.f32 maxCos ux)
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (+.f32 1 (*.f32 maxCos ux)) ux)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1 (*.f32 ux (+.f32 maxCos -1)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (*.f32 ux maxCos) (-.f32 1 ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 0)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 0 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (*.f32 ux (+.f32 maxCos -1)) 1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (.f32 ux (neg.f32 maxCos)) (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (.f32 ux (+.f32 maxCos maxCos)) (neg.f32 (+.f32 (.f32 ux maxCos) (+.f32 ux -1))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (*.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 1/2 (/.f32 (+.f32 (.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux maxCos)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (+.f32 1/2 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (.f32 ux (.f32 maxCos 1/2)) (/.f32 (-.f32 0 (-.f32 (*.f32 ux (-.f32 2 maxCos)) 2)) 2))
(+.f32 (.f32 ux (.f32 maxCos 1/2)) (/.f32 (neg.f32 (-.f32 (*.f32 ux (-.f32 2 maxCos)) 2)) 2))
(+.f32 (.f32 maxCos (.f32 ux 1/2)) (/.f32 (-.f32 2 (*.f32 ux (-.f32 2 maxCos))) 2))
(+.f32 (.f32 maxCos (.f32 ux 1/2)) (-.f32 1 (/.f32 (*.f32 ux (-.f32 2 maxCos)) 2)))
(+.f32 (/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 3) 2) (/.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) (.f32 ux (neg.f32 maxCos)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (-.f32 (neg.f32 ux) (.f32 ux maxCos)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (.f32 ux maxCos) (/.f32 ux -2)) (neg.f32 (+.f32 -1 (.f32 ux 1/2))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2)) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (/.f32 ux -2)) (neg.f32 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (/.f32 (.f32 ux (+.f32 maxCos -1)) 2) 1) (/.f32 (.f32 ux (+.f32 maxCos -1)) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 1/2 (.f32 ux 1/2)) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) (-.f32 1 ux)) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (/.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 2) 2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) (/.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 3) 4))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux) (+.f32 1 (.f32 ux (.f32 maxCos 1/2))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 1 (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux (.f32 maxCos 1/2)) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (.f32 ux (.f32 maxCos 1/2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (+.f32 (.f32 ux (.f32 maxCos 1/2)) (-.f32 1 ux)) (neg.f32 (/.f32 (*.f32 ux maxCos) -2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux (.f32 maxCos 1/2)) (+.f32 (.f32 ux maxCos) (+.f32 ux -1))) (.f32 3 (.f32 ux (.f32 maxCos 1/2))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 1 (-.f32 (.f32 ux 1/2) (.f32 ux maxCos))) (/.f32 ux -2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 1 (*.f32 ux (-.f32 2 maxCos))) (neg.f32 (neg.f32 ux)))
(-.f32 1 (+.f32 (*.f32 ux (-.f32 2 maxCos)) (neg.f32 ux)))
(-.f32 1 (+.f32 (neg.f32 ux) (*.f32 ux (-.f32 2 maxCos))))
(+.f32 ux (-.f32 1 (*.f32 ux (-.f32 2 maxCos))))
(+.f32 (-.f32 1 (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (-.f32 ux (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux maxCos) (+.f32 (.f32 ux 1/2) -1/2)) (neg.f32 (+.f32 (*.f32 ux 1/2) -1/2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 0 (-.f32 -1 (*.f32 ux maxCos))) (neg.f32 (neg.f32 (neg.f32 ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux maxCos)) (-.f32 1 ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux (+.f32 maxCos maxCos)) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 (+.f32 ux -1) (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (+.f32 1 (.f32 ux maxCos)) (.f32 ux 1/2)) (/.f32 ux -2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) ux) (.f32 ux (neg.f32 maxCos)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux maxCos)) (neg.f32 ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux 1/2)) (neg.f32 (+.f32 (.f32 ux maxCos) (.f32 ux 1/2))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (+.f32 (.f32 ux (+.f32 maxCos maxCos)) 1) (.f32 ux (.f32 maxCos 1/2))) (neg.f32 (+.f32 ux (.f32 ux (*.f32 maxCos 1/2)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) -2)) (neg.f32 (/.f32 (.f32 ux maxCos) -2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos 1/2))) (-.f32 (.f32 ux maxCos) (+.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (-.f32 (+.f32 ux -1) (.f32 ux (.f32 maxCos 1/2))) -1) (.f32 ux (.f32 maxCos 1/2)))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (-.f32 -1 (*.f32 ux maxCos)) -1) (/.f32 (neg.f32 (neg.f32 ux)) -1))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (+.f32 -1 (.f32 ux 1/2)) -1) (/.f32 (-.f32 (.f32 ux 1/2) (*.f32 ux maxCos)) -1))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) 2) 4) (/.f32 (+.f32 (.f32 ux (+.f32 maxCos -1)) (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos))))) 4))
(/.f32 (+.f32 (+.f32 (.f32 (+.f32 maxCos -1) ux) 2) (+.f32 (.f32 (+.f32 maxCos -1) ux) (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))) 4)
(/.f32 (+.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) (+.f32 (.f32 (+.f32 maxCos -1) ux) (+.f32 (*.f32 (+.f32 maxCos -1) ux) 2))) 4)
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos))) 4)) (/.f32 (+.f32 (-.f32 ux (.f32 maxCos ux)) -1) -2))
(.f32 1 (+.f32 1 (.f32 ux (+.f32 maxCos -1))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 -1 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) -1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 2 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1/2))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 1/2)
(.f32 1/2 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))
(.f32 1/2 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))
(.f32 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4) 1/4)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 1/4 (.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 4))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(.f32 (.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 1/8)
(.f32 1/2 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))))
(/.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(/.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))) -1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(/.f32 (-.f32 2 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 2)
(-.f32 1 (/.f32 (*.f32 ux (-.f32 2 (+.f32 maxCos maxCos))) 2))
(/.f32 (.f32 (+.f32 1 (.f32 ux (+.f32 maxCos -1))) 4) 4)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(/.f32 (.f32 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos)))) 4) 8)
(/.f32 (.f32 4 (-.f32 2 (.f32 ux (-.f32 2 (+.f32 maxCos maxCos))))) 8)
(/.f32 (.f32 (-.f32 -1 (.f32 ux (+.f32 maxCos -1))) 2) -2)
(/.f32 (.f32 2 (-.f32 -1 (.f32 (+.f32 maxCos -1) ux))) -2)
(/.f32 (.f32 2 (+.f32 (-.f32 ux (.f32 maxCos ux)) -1)) -2)
(/.f32 (.f32 (-.f32 1 (-.f32 ux (.f32 maxCos ux))) -2) -2)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (.f32 (+.f32 ux -1) 2))) 4)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 2 (+.f32 (.f32 ux maxCos) (+.f32 ux -1)))) 2)
(/.f32 (-.f32 (.f32 ux (.f32 maxCos 4)) (.f32 (+.f32 (.f32 maxCos ux) (+.f32 ux -1)) 2)) 2)
(/.f32 (-.f32 (.f32 maxCos (.f32 4 ux)) (.f32 (+.f32 ux (+.f32 -1 (.f32 maxCos ux))) 2)) 2)
(/.f32 (-.f32 (.f32 maxCos (.f32 ux 4)) (.f32 (+.f32 (.f32 maxCos ux) (+.f32 ux -1)) 2)) 2)
(-.f32 (.f32 maxCos (+.f32 ux ux)) (/.f32 (.f32 (+.f32 (*.f32 maxCos ux) (+.f32 ux -1)) 2) 2))
(pow.f32 (+.f32 1 (*.f32 ux (+.f32 maxCos -1))) 1)
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
(neg.f32 (-.f32 -1 (*.f32 ux (+.f32 maxCos -1))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))

eval238.0ms (2.4%)

Compiler: Compiled 4862 to 3122 computations (35.8% saved)

prune154.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	310	3	313
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	310	5	315

Error

Counts

315 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
▶	0.7b	(-.f32 1 ux)
✓	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
	9.9b	1

Compiler

Compiled 46 to 35 computations (23.9% saved)

localize28.0ms (0.3%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize139.0ms (1.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 1 (+.f32 ux (*.f32 ux maxCos)))
✓	0.2b	(+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) -2)
✓	0.4b	(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))

Compiler

Compiled 47 to 22 computations (53.2% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	ux	@	0	(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
0.0ms	maxCos	@	0	(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
0.0ms	ux	@	-inf	(+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) -2)
0.0ms	maxCos	@	inf	(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
0.0ms	ux	@	0	(-.f32 1 (+.f32 ux (*.f32 ux maxCos)))

rewrite257.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`rational_best-4`
1996×	`rational_best-2`
1996×	`rational_best-3`
1996×	`rational_best-1`
590×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	87	81
2	210	69
3	719	63
4	4644	63

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))
(+.f32 (-.f32 1 (+.f32 ux (*.f32 ux maxCos))) -2)
(-.f32 1 (+.f32 ux (*.f32 ux maxCos)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux -2) (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (+.f32 (*.f32 ux -2) 1) (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (/.f32 (+.f32 2 (*.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux (*.f32 ux maxCos)) (+.f32 (+.f32 (*.f32 ux -2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) (-.f32 (*.f32 ux -2) (*.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 ux) (-.f32 (neg.f32 ux) (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) (-.f32 (neg.f32 ux) (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) (-.f32 (*.f32 ux -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) (+.f32 (*.f32 ux -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 ux) (+.f32 (*.f32 ux maxCos) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 ux) (neg.f32 (+.f32 -2 (*.f32 maxCos (neg.f32 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) -2) (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1) (*.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) 1) (+.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) 1) (+.f32 1 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) 1) (neg.f32 (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) 2) (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 2 (-.f32 -1 ux)) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (neg.f32 ux)) (+.f32 (+.f32 (*.f32 ux -2) (+.f32 (*.f32 ux maxCos) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (-.f32 1 ux)) (+.f32 (+.f32 (*.f32 ux -2) (*.f32 ux maxCos)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) (*.f32 ux maxCos)) (neg.f32 (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 (neg.f32 ux) -1)) (+.f32 (*.f32 ux -2) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2)) (+.f32 1 (/.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) 1) (+.f32 (*.f32 ux -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (-.f32 -1 ux) 1) (+.f32 (*.f32 ux maxCos) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux maxCos) 1) (+.f32 (-.f32 -1 ux) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 (*.f32 ux -2) -1) 1) (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 (*.f32 ux -2) (*.f32 ux maxCos)) 1) (+.f32 (neg.f32 (-.f32 1 ux)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 (*.f32 ux -2) (+.f32 (*.f32 ux maxCos) -1)) 1) (+.f32 (neg.f32 (neg.f32 ux)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (neg.f32 ux)) (neg.f32 (+.f32 -2 (-.f32 1 (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -4) (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))) (+.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (+.f32 (neg.f32 ux) -1)) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (+.f32 (-.f32 1 ux) -1)) (neg.f32 (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)) (neg.f32 (+.f32 (-.f32 1 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (+.f32 -1 (-.f32 1 (*.f32 ux maxCos)))) (neg.f32 (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 ux -2) (-.f32 -1/2 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2))) (neg.f32 (-.f32 -1/2 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 2 (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))) (neg.f32 (+.f32 1 (+.f32 ux ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 2 (+.f32 -1 (+.f32 ux ux))) (neg.f32 (+.f32 (*.f32 ux (-.f32 -1 maxCos)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1) 2) (/.f32 (+.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1) (*.f32 ux -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2) (/.f32 (+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) 2) (/.f32 (+.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) (-.f32 (*.f32 ux -2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (*.f32 ux (-.f32 -1 maxCos))) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))) (-.f32 (neg.f32 ux) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (*.f32 maxCos (neg.f32 ux))) (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (-.f32 1 ux)) (-.f32 (neg.f32 ux) (+.f32 -2 (*.f32 maxCos (neg.f32 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (neg.f32 ux)) (-.f32 (neg.f32 ux) (+.f32 -2 (-.f32 1 (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) -2) (-.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)) (-.f32 (neg.f32 ux) (*.f32 maxCos (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)) (-.f32 (neg.f32 ux) (+.f32 (-.f32 1 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 (-.f32 1 ux) -1)) (-.f32 (neg.f32 ux) (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (-.f32 1 (*.f32 ux maxCos)))) (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) (*.f32 2 (*.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 2 (*.f32 ux -4)) (*.f32 2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 ux (+.f32 (*.f32 ux maxCos) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (-.f32 (*.f32 ux maxCos) (-.f32 -2 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)) ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) (+.f32 2 (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (neg.f32 ux)) (neg.f32 (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 (+.f32 ux -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 2 (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 2 (neg.f32 (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (-.f32 (*.f32 ux maxCos) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (+.f32 2 (neg.f32 (-.f32 1 (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) (+.f32 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (+.f32 ux (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (neg.f32 ux) -1) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 ux -2) -2) (+.f32 2 (+.f32 (*.f32 ux maxCos) (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (*.f32 ux maxCos)) (-.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (*.f32 ux maxCos)) (+.f32 2 ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (-.f32 -1 maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -2 ux) (+.f32 (*.f32 ux maxCos) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -2 ux) (neg.f32 (-.f32 1 (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1/2 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2)) (/.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux maxCos) -2) (+.f32 2 (-.f32 (+.f32 ux -1) (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (+.f32 -1 maxCos)) (-.f32 (*.f32 ux (+.f32 maxCos maxCos)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 maxCos (neg.f32 ux)) 2) (+.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 maxCos (neg.f32 ux)) 2) (neg.f32 (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 1 (*.f32 ux maxCos)) 2) ux)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 (*.f32 ux -2) -2) 2) (+.f32 (*.f32 ux maxCos) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 (*.f32 ux maxCos) -2) 2) (-.f32 (+.f32 ux -1) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1))) ux)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 (neg.f32 ux) -1) (+.f32 (neg.f32 ux) -1)) (+.f32 (*.f32 ux maxCos) (+.f32 (neg.f32 ux) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))) (*.f32 2 (*.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 ux (-.f32 -1 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) (-.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) (-.f32 (*.f32 maxCos (neg.f32 ux)) (*.f32 maxCos (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 ux) (*.f32 maxCos (neg.f32 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) (-.f32 1 (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 ux) (-.f32 1 (+.f32 (*.f32 ux maxCos) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 ux maxCos)) (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 -1 maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 -1 maxCos)) 2)) (+.f32 1/2 (/.f32 (*.f32 ux (-.f32 -1 maxCos)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2)) (neg.f32 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 ux) (/.f32 (*.f32 ux maxCos) 2)) (neg.f32 (/.f32 (*.f32 ux maxCos) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 (*.f32 ux maxCos)) (/.f32 ux 2)) (neg.f32 (/.f32 ux 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 (*.f32 ux -2) -2) (*.f32 ux maxCos)) (neg.f32 (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (*.f32 ux maxCos) -2) (+.f32 ux -1)) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (*.f32 ux maxCos)) (-.f32 1 (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 maxCos (neg.f32 ux)) 2) (/.f32 (+.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 (*.f32 ux -2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 1 ux) 2) (/.f32 (+.f32 (-.f32 1 ux) (*.f32 (*.f32 ux maxCos) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 ux (-.f32 -1 maxCos)) 2) (/.f32 (+.f32 (*.f32 ux (-.f32 -1 maxCos)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (neg.f32 ux) 2) (/.f32 (+.f32 1 (+.f32 (-.f32 1 ux) (*.f32 (*.f32 ux maxCos) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (+.f32 ux -1)) (-.f32 1 (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (+.f32 (*.f32 ux maxCos) -1)) (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))) (*.f32 2 (*.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (-.f32 (*.f32 ux -2) -2) (*.f32 (*.f32 ux maxCos) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (*.f32 ux maxCos) -2) (-.f32 (*.f32 ux -2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 (*.f32 ux -2) -2) (*.f32 ux (+.f32 maxCos maxCos))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))))))

simplify383.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational_best-simplify-65`
728×	`rational_best-simplify-56`
632×	`rational_best-simplify-67`
566×	`rational_best-simplify-3`
522×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	5119
1	1109	4595
2	2933	4545

Stop Event

1×	node limit

Counts

239 → 226

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(*.f32 (-.f32 maxCos 1) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (+.f32 (*.f32 -2 ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(*.f32 maxCos ux)
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(*.f32 maxCos ux)
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
-1
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(.f32 -1 (.f32 ux (+.f32 1 maxCos)))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux))
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(*.f32 -1 (+.f32 1 ux))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(.f32 -1 (.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(.f32 -1 (.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
1
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(.f32 -1 (.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux))
(+.f32 1 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)))
(+.f32 1 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)))
(+.f32 1 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)))
(-.f32 1 ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(.f32 -1 (.f32 maxCos ux))
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(.f32 -1 (.f32 maxCos ux))
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(-.f32 (+.f32 1 (.f32 -1 (.f32 maxCos ux))) ux)
(+.f32 (.f32 ux -2) (+.f32 (+.f32 ux (.f32 ux maxCos)) 1))
(+.f32 1 (+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 1))
(+.f32 1 (+.f32 (+.f32 (.f32 ux -2) 1) (+.f32 ux (+.f32 (.f32 ux maxCos) -1))))
(+.f32 1 (/.f32 (+.f32 2 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 -1 ux)) 2)) 2))
(+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux)))
(+.f32 (+.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (.f32 ux -2) -1) 2))
(+.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 0)
(+.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) (-.f32 (.f32 ux -2) (*.f32 ux -2)))
(+.f32 0 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))))
(+.f32 (-.f32 1 ux) (-.f32 (neg.f32 ux) (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))))
(+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 2)
(+.f32 2 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)))
(+.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))
(+.f32 (neg.f32 ux) (-.f32 (neg.f32 ux) (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))))
(+.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) (-.f32 (.f32 ux -2) -2))
(+.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) (+.f32 (.f32 ux -2) 2))
(+.f32 (-.f32 -1 ux) (+.f32 (*.f32 ux maxCos) 2))
(+.f32 (-.f32 -1 ux) (neg.f32 (+.f32 -2 (*.f32 maxCos (neg.f32 ux)))))
(+.f32 (-.f32 (.f32 ux -2) -2) (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))
(+.f32 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1) (.f32 ux -2))
(+.f32 (+.f32 (.f32 ux -2) 1) (+.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) 1))
(+.f32 (+.f32 (.f32 ux -2) 1) (+.f32 1 (+.f32 ux (+.f32 (.f32 ux maxCos) -1))))
(+.f32 (+.f32 (.f32 ux -2) 1) (neg.f32 (-.f32 (-.f32 1 ux) (-.f32 (.f32 ux maxCos) -1))))
(+.f32 (+.f32 (.f32 ux -2) 2) (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))
(+.f32 (+.f32 2 (-.f32 -1 ux)) (*.f32 ux maxCos))
(+.f32 (neg.f32 (neg.f32 ux)) (+.f32 (+.f32 (.f32 ux -2) (+.f32 (.f32 ux maxCos) -1)) 2))
(+.f32 (neg.f32 (-.f32 1 ux)) (+.f32 (+.f32 (.f32 ux -2) (.f32 ux maxCos)) 2))
(+.f32 (+.f32 (.f32 ux -2) (.f32 ux maxCos)) (neg.f32 (+.f32 (neg.f32 ux) -1)))
(+.f32 (neg.f32 (+.f32 (neg.f32 ux) -1)) (+.f32 (.f32 ux -2) (.f32 ux maxCos)))
(+.f32 (+.f32 1 (/.f32 (+.f32 (.f32 ux maxCos) (-.f32 -1 ux)) 2)) (+.f32 1 (/.f32 (+.f32 (.f32 ux maxCos) (-.f32 -1 ux)) 2)))
(+.f32 (+.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) 1) (+.f32 (.f32 ux -2) 1))
(+.f32 (+.f32 (+.f32 (*.f32 ux maxCos) (-.f32 -1 ux)) 1) 1)
(+.f32 (+.f32 (-.f32 -1 ux) 1) (+.f32 (*.f32 ux maxCos) 1))
(+.f32 (+.f32 (*.f32 ux maxCos) 1) (+.f32 (-.f32 -1 ux) 1))
(+.f32 (+.f32 (+.f32 (.f32 ux -2) -1) 1) (+.f32 (+.f32 ux (.f32 ux maxCos)) 1))
(+.f32 (+.f32 (+.f32 (.f32 ux -2) (.f32 ux maxCos)) 1) (+.f32 (neg.f32 (-.f32 1 ux)) 1))
(+.f32 (+.f32 (+.f32 (.f32 ux -2) (+.f32 (.f32 ux maxCos) -1)) 1) (+.f32 (neg.f32 (neg.f32 ux)) 1))
(+.f32 (-.f32 (.f32 ux -2) (neg.f32 ux)) (neg.f32 (+.f32 -2 (-.f32 1 (.f32 ux maxCos)))))
(+.f32 (-.f32 (.f32 ux -2) (.f32 ux (-.f32 -1 maxCos))) 1)
(+.f32 (-.f32 (.f32 ux -4) (+.f32 -1 (.f32 ux (-.f32 -1 maxCos)))) (+.f32 ux ux))
(+.f32 (-.f32 (.f32 ux -2) (+.f32 (neg.f32 ux) -1)) (.f32 ux maxCos))
(+.f32 (-.f32 (.f32 ux -2) (-.f32 (-.f32 1 ux) (-.f32 (.f32 ux maxCos) -1))) 1)
(+.f32 (-.f32 (.f32 ux -2) (+.f32 (-.f32 1 ux) -1)) (neg.f32 (+.f32 (.f32 maxCos (neg.f32 ux)) -1)))
(+.f32 (-.f32 (.f32 ux -2) (+.f32 (.f32 maxCos (neg.f32 ux)) -1)) (neg.f32 (+.f32 (-.f32 1 ux) -1)))
(+.f32 (-.f32 (.f32 ux -2) (+.f32 -1 (-.f32 1 (.f32 ux maxCos)))) (neg.f32 (+.f32 (neg.f32 ux) -1)))
(+.f32 (-.f32 (.f32 ux -2) (-.f32 -1/2 (/.f32 (+.f32 ux (.f32 ux maxCos)) 2))) (neg.f32 (-.f32 -1/2 (/.f32 (+.f32 ux (*.f32 ux maxCos)) 2))))
(+.f32 (-.f32 2 (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))) (neg.f32 (+.f32 1 (+.f32 ux ux))))
(+.f32 (-.f32 2 (+.f32 -1 (+.f32 ux ux))) (neg.f32 (+.f32 (*.f32 ux (-.f32 -1 maxCos)) 2)))
(+.f32 (/.f32 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1) 2) (/.f32 (+.f32 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1) (*.f32 ux -4)) 2))
(+.f32 (/.f32 (+.f32 (.f32 ux maxCos) (-.f32 -1 ux)) 2) (/.f32 (+.f32 (+.f32 (.f32 ux maxCos) (-.f32 -1 ux)) 4) 2))
(+.f32 (/.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) 2) (/.f32 (+.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) (-.f32 (*.f32 ux -2) -2)) 2))
(+.f32 (-.f32 (neg.f32 ux) (*.f32 ux (-.f32 -1 maxCos))) (-.f32 1 ux))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))) (-.f32 (neg.f32 ux) -2))
(+.f32 (-.f32 (neg.f32 ux) (*.f32 maxCos (neg.f32 ux))) (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)))
(+.f32 (-.f32 (neg.f32 ux) (-.f32 1 ux)) (-.f32 (neg.f32 ux) (+.f32 -2 (*.f32 maxCos (neg.f32 ux)))))
(+.f32 (-.f32 (neg.f32 ux) (neg.f32 ux)) (-.f32 (neg.f32 ux) (+.f32 -2 (-.f32 1 (*.f32 ux maxCos)))))
(+.f32 (-.f32 (neg.f32 ux) -2) (-.f32 (neg.f32 ux) (+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))) (neg.f32 ux))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)) (-.f32 (neg.f32 ux) (*.f32 maxCos (neg.f32 ux))))
(+.f32 (-.f32 (neg.f32 ux) (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1))) (-.f32 1 ux))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)) (-.f32 (neg.f32 ux) (+.f32 (-.f32 1 ux) -1)))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 (-.f32 1 ux) -1)) (-.f32 (neg.f32 ux) (+.f32 (*.f32 maxCos (neg.f32 ux)) -1)))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (-.f32 1 (*.f32 ux maxCos)))) (-.f32 (neg.f32 ux) (+.f32 (neg.f32 ux) -1)))
(.f32 1 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))))
(.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)
(.f32 -1 (-.f32 (-.f32 ux 2) (+.f32 (.f32 ux maxCos) -1)))
(.f32 (-.f32 (-.f32 ux 2) (+.f32 (.f32 ux maxCos) -1)) -1)
(.f32 (.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2))
(.f32 (.f32 2 (.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) 1/4)
(/.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)
(/.f32 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)) -1)
(/.f32 (.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2) 2)
(/.f32 (.f32 2 (.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2)) (.f32 2 (.f32 (+.f32 (.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 2))) 8)
(/.f32 (-.f32 (.f32 2 (.f32 ux -4)) (.f32 2 (.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))) 4)
(pow.f32 (+.f32 (*.f32 ux maxCos) (+.f32 2 (-.f32 -1 ux))) 1)
(neg.f32 (-.f32 (-.f32 ux 2) (+.f32 (*.f32 ux maxCos) -1)))
(-.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))
(-.f32 1 (+.f32 ux (+.f32 (*.f32 ux maxCos) 2)))
(-.f32 1 (-.f32 (*.f32 ux maxCos) (-.f32 -2 ux)))
(-.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 2)
(-.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 0)
(-.f32 0 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))
(-.f32 0 (+.f32 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)) ux))
(-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -2))
(-.f32 (-.f32 1 ux) (+.f32 2 (*.f32 ux maxCos)))
(-.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 ux -1))
(-.f32 (*.f32 maxCos (neg.f32 ux)) (neg.f32 (+.f32 (neg.f32 ux) -1)))
(-.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 (+.f32 ux -1) -2))
(-.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 2 (+.f32 ux -1)))
(-.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 2 (neg.f32 (-.f32 1 ux))))
(-.f32 (neg.f32 ux) (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)))
(-.f32 (neg.f32 ux) (-.f32 (*.f32 ux maxCos) -1))
(-.f32 (neg.f32 ux) (+.f32 2 (neg.f32 (-.f32 1 (*.f32 ux maxCos)))))
(-.f32 (neg.f32 ux) (+.f32 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1)) 0))
(-.f32 -1 (+.f32 ux (*.f32 ux maxCos)))
(-.f32 (+.f32 (neg.f32 ux) -1) (*.f32 ux maxCos))
(-.f32 (-.f32 (.f32 ux -2) -2) (+.f32 2 (+.f32 (.f32 ux maxCos) (-.f32 1 ux))))
(-.f32 (-.f32 1 (*.f32 ux maxCos)) (-.f32 ux -2))
(-.f32 (-.f32 1 (*.f32 ux maxCos)) (+.f32 2 ux))
(-.f32 (*.f32 ux (-.f32 -1 maxCos)) 1)
(-.f32 (-.f32 (-.f32 1 ux) (-.f32 (*.f32 ux maxCos) -1)) 1)
(-.f32 (-.f32 -2 ux) (+.f32 (*.f32 ux maxCos) -1))
(-.f32 (-.f32 -2 ux) (neg.f32 (-.f32 1 (*.f32 ux maxCos))))
(-.f32 (-.f32 -1/2 (/.f32 (+.f32 ux (.f32 ux maxCos)) 2)) (/.f32 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1) 2))
(-.f32 (.f32 (.f32 ux maxCos) -2) (+.f32 2 (-.f32 (+.f32 ux -1) (*.f32 ux maxCos))))
(-.f32 (.f32 ux (+.f32 -1 maxCos)) (-.f32 (.f32 ux (+.f32 maxCos maxCos)) -1))
(-.f32 (-.f32 (*.f32 maxCos (neg.f32 ux)) 2) (+.f32 ux -1))
(-.f32 (-.f32 (*.f32 maxCos (neg.f32 ux)) 2) (neg.f32 (-.f32 1 ux)))
(-.f32 (-.f32 (-.f32 1 (*.f32 ux maxCos)) 2) ux)
(-.f32 (-.f32 (-.f32 (.f32 ux -2) -2) 2) (+.f32 (.f32 ux maxCos) (-.f32 1 ux)))
(-.f32 (-.f32 (.f32 (.f32 ux maxCos) -2) 2) (-.f32 (+.f32 ux -1) (*.f32 ux maxCos)))
(-.f32 (-.f32 0 (+.f32 2 (+.f32 (*.f32 ux maxCos) -1))) ux)
(-.f32 (+.f32 (+.f32 (neg.f32 ux) -1) (+.f32 (neg.f32 ux) -1)) (+.f32 (*.f32 ux maxCos) (+.f32 (neg.f32 ux) -1)))
(.f32 1 (+.f32 -1 (.f32 ux (-.f32 -1 maxCos))))
(.f32 (+.f32 -1 (.f32 ux (-.f32 -1 maxCos))) 1)
(.f32 (.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)) 1/2)
(.f32 1/2 (.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1)))
(.f32 (.f32 2 (.f32 -2 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1))) 1/4)
(/.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(/.f32 (.f32 -2 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1)) 2)
(/.f32 (.f32 2 (.f32 -2 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))) 4)
(/.f32 (+.f32 (.f32 2 (.f32 -2 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1))) (.f32 2 (.f32 -2 (+.f32 (+.f32 ux (.f32 ux maxCos)) 1)))) 8)
(pow.f32 (+.f32 -1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(neg.f32 (+.f32 (+.f32 ux (*.f32 ux maxCos)) 1))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 0)
(+.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) (-.f32 (-.f32 1 ux) (-.f32 1 ux)))
(+.f32 (+.f32 1 (.f32 ux (-.f32 -1 maxCos))) (-.f32 (.f32 maxCos (neg.f32 ux)) (*.f32 maxCos (neg.f32 ux))))
(+.f32 0 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))))
(+.f32 (-.f32 1 ux) (*.f32 maxCos (neg.f32 ux)))
(+.f32 (*.f32 maxCos (neg.f32 ux)) (-.f32 1 ux))
(+.f32 (neg.f32 ux) (-.f32 1 (*.f32 ux maxCos)))
(+.f32 (-.f32 -1 ux) (-.f32 1 (+.f32 (*.f32 ux maxCos) -1)))
(+.f32 (-.f32 1 (*.f32 ux maxCos)) (neg.f32 ux))
(+.f32 (-.f32 1 (*.f32 ux maxCos)) (neg.f32 (neg.f32 (neg.f32 ux))))
(+.f32 (*.f32 ux (-.f32 -1 maxCos)) 1)
(+.f32 (+.f32 1/2 (/.f32 (.f32 ux (-.f32 -1 maxCos)) 2)) (+.f32 1/2 (/.f32 (.f32 ux (-.f32 -1 maxCos)) 2)))
(+.f32 (-.f32 1 (/.f32 (+.f32 ux (.f32 ux maxCos)) 2)) (neg.f32 (/.f32 (+.f32 ux (.f32 ux maxCos)) 2)))
(+.f32 (-.f32 (-.f32 1 ux) (/.f32 (.f32 ux maxCos) 2)) (neg.f32 (/.f32 (.f32 ux maxCos) 2)))
(+.f32 (-.f32 (-.f32 1 (*.f32 ux maxCos)) (/.f32 ux 2)) (neg.f32 (/.f32 ux 2)))
(+.f32 (-.f32 (-.f32 (.f32 ux -2) -2) (.f32 ux maxCos)) (neg.f32 (-.f32 1 ux)))
(+.f32 (-.f32 (.f32 (.f32 ux maxCos) -2) (+.f32 ux -1)) (*.f32 ux maxCos))
(+.f32 (-.f32 -1 (*.f32 ux maxCos)) (-.f32 1 (+.f32 ux -1)))
(+.f32 (/.f32 (.f32 maxCos (neg.f32 ux)) 2) (/.f32 (+.f32 (.f32 maxCos (neg.f32 ux)) (-.f32 (*.f32 ux -2) -2)) 2))
(+.f32 (/.f32 (-.f32 1 ux) 2) (/.f32 (+.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) -2)) 2))
(+.f32 (/.f32 (.f32 ux (-.f32 -1 maxCos)) 2) (/.f32 (+.f32 (.f32 ux (-.f32 -1 maxCos)) 2) 2))
(+.f32 (/.f32 (neg.f32 ux) 2) (/.f32 (+.f32 1 (+.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) -2))) 2))
(+.f32 (-.f32 -1 (+.f32 ux -1)) (-.f32 1 (*.f32 ux maxCos)))
(+.f32 (-.f32 -1 (+.f32 (*.f32 ux maxCos) -1)) (-.f32 1 ux))
(.f32 1 (+.f32 1 (.f32 ux (-.f32 -1 maxCos))))
(.f32 (+.f32 1 (.f32 ux (-.f32 -1 maxCos))) 1)
(.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) -1)
(.f32 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))) 1/2)
(.f32 1/2 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))
(.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))) 1/4)
(/.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(/.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) -1)
(/.f32 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1))) 2)
(/.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))) 4)
(/.f32 (+.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))) (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1))))) 8)
(/.f32 (+.f32 (-.f32 (.f32 ux -2) -2) (.f32 (*.f32 ux maxCos) -2)) 2)
(/.f32 (+.f32 (.f32 (.f32 ux maxCos) -2) (-.f32 (*.f32 ux -2) -2)) 2)
(/.f32 (-.f32 (-.f32 (.f32 ux -2) -2) (.f32 ux (+.f32 maxCos maxCos))) 2)
(pow.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(neg.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))

Outputs
1
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(*.f32 (-.f32 maxCos 1) ux)
(*.f32 (+.f32 maxCos -1) ux)
(-.f32 (*.f32 maxCos ux) ux)
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (*.f32 (-.f32 maxCos 1) ux))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos))))
(*.f32 (+.f32 maxCos -1) ux)
(-.f32 (*.f32 maxCos ux) ux)
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 (*.f32 -1 maxCos)))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (*.f32 -2 ux) ux))
(+.f32 1 (+.f32 ux (*.f32 ux -2)))
(-.f32 1 ux)
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(*.f32 maxCos ux)
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(*.f32 maxCos ux)
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
(+.f32 1 (+.f32 (.f32 -2 ux) (+.f32 ux (.f32 maxCos ux))))
(+.f32 1 (*.f32 (+.f32 maxCos -1) ux))
(+.f32 1 (-.f32 (*.f32 maxCos ux) ux))
-1
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 ux (+.f32 1 maxCos)))
(*.f32 (+.f32 1 maxCos) (neg.f32 ux))
(*.f32 ux (-.f32 -1 maxCos))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 ux (+.f32 1 maxCos))) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux))
(*.f32 (+.f32 1 maxCos) (neg.f32 ux))
(*.f32 ux (-.f32 -1 maxCos))
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(-.f32 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)) 1)
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(*.f32 -1 (+.f32 1 ux))
(neg.f32 (+.f32 1 ux))
(-.f32 -1 ux)
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 maxCos ux))
(.f32 ux (.f32 maxCos -1))
(*.f32 maxCos (neg.f32 ux))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 maxCos ux))
(.f32 ux (.f32 maxCos -1))
(*.f32 maxCos (neg.f32 ux))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (.f32 -1 (.f32 maxCos ux)) (*.f32 -1 (+.f32 1 ux)))
(+.f32 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)) -1)
(-.f32 -1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 -1 (*.f32 ux (-.f32 -1 maxCos)))
1
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 ux (+.f32 1 maxCos)))
(*.f32 (+.f32 1 maxCos) (neg.f32 ux))
(*.f32 ux (-.f32 -1 maxCos))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 1 (.f32 -1 (.f32 ux (+.f32 1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux))
(*.f32 (+.f32 1 maxCos) (neg.f32 ux))
(*.f32 ux (-.f32 -1 maxCos))
(+.f32 1 (.f32 -1 (.f32 (-.f32 1 (*.f32 -1 maxCos)) ux)))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
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(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (/.f32 (.f32 maxCos (neg.f32 ux)) 2) (/.f32 (+.f32 (.f32 maxCos (neg.f32 ux)) (-.f32 (*.f32 ux -2) -2)) 2))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (/.f32 (-.f32 1 ux) 2) (/.f32 (+.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) -2)) 2))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (/.f32 (.f32 ux (-.f32 -1 maxCos)) 2) (/.f32 (+.f32 (.f32 ux (-.f32 -1 maxCos)) 2) 2))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (/.f32 (neg.f32 ux) 2) (/.f32 (+.f32 1 (+.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) -2))) 2))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (-.f32 -1 (+.f32 ux -1)) (-.f32 1 (*.f32 ux maxCos)))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(+.f32 (-.f32 -1 (+.f32 (*.f32 ux maxCos) -1)) (-.f32 1 ux))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 1 (+.f32 1 (.f32 ux (-.f32 -1 maxCos))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 (+.f32 1 (.f32 ux (-.f32 -1 maxCos))) 1)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)) -1)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))) 1/2)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 1/2 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1))))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))) 1/4)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(/.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(/.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)) -1)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(/.f32 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1))) 2)
(/.f32 (.f32 -2 (+.f32 ux (+.f32 -1 (.f32 maxCos ux)))) 2)
(/.f32 (.f32 -2 (+.f32 -1 (.f32 ux (+.f32 1 maxCos)))) 2)
(/.f32 (.f32 -2 (+.f32 (.f32 maxCos ux) (+.f32 ux -1))) 2)
(/.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))) 4)
(/.f32 (.f32 -2 (+.f32 ux (+.f32 -1 (.f32 maxCos ux)))) 2)
(/.f32 (.f32 -2 (+.f32 -1 (.f32 ux (+.f32 1 maxCos)))) 2)
(/.f32 (.f32 -2 (+.f32 (.f32 maxCos ux) (+.f32 ux -1))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1)))) (.f32 2 (.f32 -2 (+.f32 ux (+.f32 (.f32 ux maxCos) -1))))) 8)
(/.f32 (.f32 -2 (+.f32 ux (+.f32 -1 (.f32 maxCos ux)))) 2)
(/.f32 (.f32 -2 (+.f32 -1 (.f32 ux (+.f32 1 maxCos)))) 2)
(/.f32 (.f32 -2 (+.f32 (.f32 maxCos ux) (+.f32 ux -1))) 2)
(/.f32 (+.f32 (-.f32 (.f32 ux -2) -2) (.f32 (*.f32 ux maxCos) -2)) 2)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(/.f32 (+.f32 (.f32 (.f32 ux maxCos) -2) (-.f32 (*.f32 ux -2) -2)) 2)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(/.f32 (-.f32 (-.f32 (.f32 ux -2) -2) (.f32 ux (+.f32 maxCos maxCos))) 2)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(pow.f32 (+.f32 1 (*.f32 ux (-.f32 -1 maxCos))) 1)
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))
(neg.f32 (+.f32 ux (+.f32 (*.f32 ux maxCos) -1)))
(+.f32 1 (*.f32 (+.f32 1 maxCos) (neg.f32 ux)))
(-.f32 1 (*.f32 ux (+.f32 1 maxCos)))
(+.f32 1 (*.f32 ux (-.f32 -1 maxCos)))

eval194.0ms (1.9%)

Compiler: Compiled 3289 to 2115 computations (35.7% saved)

prune117.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	226	5	231

Error

Counts

231 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
✓	0.7b	(-.f32 1 ux)
✓	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
	9.9b	1

Compiler

Compiled 40 to 31 computations (22.5% saved)

localize83.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	ux	@	0	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
0.0ms	ux	@	inf	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
0.0ms	ux	@	-inf	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))

rewrite168.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best-simplify-75`
1032×	`rational_best-simplify-76`
806×	`rational_best-simplify-56`
704×	`rational_best-simplify-67`
626×	`rational_best-simplify-64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	53	19
2	110	19
3	315	11
4	1367	7

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

Inputs
(-.f32 (*.f32 ux -2) (-.f32 -1 ux))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 ux (+.f32 (*.f32 ux -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux -2) (+.f32 ux 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 ux) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (neg.f32 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux (+.f32 ux -1)) (-.f32 1 (-.f32 -1 (*.f32 ux -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux -1) (-.f32 2 (+.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux 1) (*.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) 1) ux)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 ux ux) (+.f32 1 (*.f32 ux -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (-.f32 -1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 2 (+.f32 ux ux)) (+.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 ux -3)) (+.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 ux 2) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 ux 2) (/.f32 (-.f32 (*.f32 ux -3) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 1/2 (/.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 ux -2) -1) (neg.f32 (+.f32 -2 (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) (/.f32 (+.f32 ux -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 ux -2) (/.f32 (-.f32 1 (+.f32 ux -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) (+.f32 (*.f32 ux -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 -1 ux) -2) (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (neg.f32 ux) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (*.f32 (-.f32 1 ux) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)) (/.f32 (-.f32 -1 ux) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)) (-.f32 (*.f32 ux -2) (/.f32 (+.f32 (-.f32 -1 ux) (*.f32 ux -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 ux -3) 2) (+.f32 (/.f32 ux 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 ux -3) 2) (/.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))) (/.f32 ux 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 ux 2) 1) (/.f32 (*.f32 ux -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1) (/.f32 (-.f32 -1 ux) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (/.f32 (+.f32 ux -1) 2) (+.f32 ux -1/2)) -1) (/.f32 ux 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (*.f32 ux -3)) 4) (/.f32 (+.f32 (+.f32 ux 1) (-.f32 2 (+.f32 ux ux))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (-.f32 -1 ux)) (+.f32 (*.f32 ux -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 ux (/.f32 ux 2)) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 ux 2) (-.f32 -1 (*.f32 ux -3))) (/.f32 (*.f32 ux 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (/.f32 ux -2)) (-.f32 (neg.f32 ux) (+.f32 (/.f32 ux -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)) (/.f32 (-.f32 -1 ux) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 ux 2) (+.f32 ux -1)) (/.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (*.f32 ux -3))) (*.f32 ux -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 ux) (-.f32 -1 (/.f32 ux 2))) (-.f32 (neg.f32 ux) (/.f32 ux -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (*.f32 ux 4)) (-.f32 1 (+.f32 -1 (*.f32 ux -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (+.f32 ux ux)) (-.f32 1 (-.f32 -1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (-.f32 -1 (*.f32 ux -3))) (+.f32 ux (+.f32 ux 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 ux -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 ux -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (-.f32 1 ux) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 2 (+.f32 ux ux)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 2 (+.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 ux) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 1 ux) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 ux -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 2 (+.f32 ux ux)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 ux -1) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 ux -1) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (*.f32 (+.f32 ux -1) 2)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 ux -8) (neg.f32 (*.f32 (-.f32 -1 ux) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 (-.f32 -1 ux) 4)) (*.f32 ux -8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 ux ux) (-.f32 (*.f32 ux -4) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 ux ux) -8) (*.f32 2 (*.f32 (-.f32 -1 ux) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux 4) (*.f32 2 (-.f32 (*.f32 ux 4) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 (+.f32 ux ux) -2) (*.f32 ux 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 (*.f32 (-.f32 -1 ux) 4)) (neg.f32 (*.f32 ux -8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 (*.f32 ux -4) -2) (*.f32 ux -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 ux 4) (*.f32 2 (-.f32 -1 (*.f32 ux -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 ux ux) -8) (+.f32 (*.f32 (-.f32 -1 ux) 4) (*.f32 ux -8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 2 (+.f32 -1 (*.f32 ux -3))) (*.f32 (-.f32 -1 ux) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (*.f32 (-.f32 -1 ux) 4) (*.f32 ux -8)) (*.f32 2 (*.f32 (-.f32 -1 ux) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 ux -1))))))

simplify373.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best-simplify-55`
990×	`rational_best-simplify-47`
898×	`rational_best-simplify-50`
836×	`rational_best-simplify-63`
524×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	1221
1	528	901
2	1287	901
3	5088	873

Stop Event

1×	node limit

Counts

91 → 99

Calls

Call 1

Inputs
1
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(*.f32 -1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(*.f32 -1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 ux (+.f32 (*.f32 ux -2) 1))
(+.f32 (*.f32 ux -2) (+.f32 ux 1))
(+.f32 (-.f32 1 ux) 0)
(+.f32 0 (-.f32 1 ux))
(+.f32 1 (neg.f32 ux))
(+.f32 (+.f32 ux (+.f32 ux -1)) (-.f32 1 (-.f32 -1 (*.f32 ux -3))))
(+.f32 (+.f32 ux -1) (-.f32 2 (+.f32 ux ux)))
(+.f32 (+.f32 ux 1) (*.f32 ux -2))
(+.f32 (+.f32 (*.f32 ux -2) 1) ux)
(+.f32 (neg.f32 ux) 1)
(+.f32 (+.f32 ux ux) (+.f32 1 (*.f32 ux -3)))
(+.f32 2 (-.f32 -1 ux))
(+.f32 (-.f32 2 (+.f32 ux ux)) (+.f32 ux -1))
(+.f32 (+.f32 1 (*.f32 ux -3)) (+.f32 ux ux))
(+.f32 (/.f32 ux 2) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))
(+.f32 (/.f32 ux 2) (/.f32 (-.f32 (*.f32 ux -3) -2) 2))
(+.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 1/2 (/.f32 ux -2)))
(+.f32 (+.f32 (*.f32 ux -2) -1) (neg.f32 (+.f32 -2 (neg.f32 ux))))
(+.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) (/.f32 (+.f32 ux -1) 2))
(+.f32 (/.f32 ux -2) (/.f32 (-.f32 1 (+.f32 ux -1)) 2))
(+.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) (+.f32 (*.f32 ux -2) -1))
(+.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)))
(+.f32 (/.f32 (-.f32 -1 ux) -2) (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1))
(+.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)))
(+.f32 (+.f32 (neg.f32 ux) 1/2) 1/2)
(+.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2))
(+.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (*.f32 (-.f32 1 ux) 3) 4))
(+.f32 (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)) (/.f32 (-.f32 -1 ux) -2))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (-.f32 (.f32 ux -2) (/.f32 (+.f32 (-.f32 -1 ux) (*.f32 ux -4)) 2)))
(+.f32 (/.f32 (*.f32 ux -3) 2) (+.f32 (/.f32 ux 2) 1))
(+.f32 (/.f32 (*.f32 ux -3) 2) (/.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) 2))
(+.f32 (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))) (/.f32 ux 2))
(+.f32 (+.f32 (/.f32 ux 2) 1) (/.f32 (*.f32 ux -3) 2))
(+.f32 (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1) (/.f32 (-.f32 -1 ux) -2))
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 ux -1) 2) (+.f32 ux -1/2)) -1) (/.f32 ux 2))
(+.f32 (/.f32 (+.f32 1 (*.f32 ux -3)) 4) (/.f32 (+.f32 (+.f32 ux 1) (-.f32 2 (+.f32 ux ux))) 4))
(+.f32 (-.f32 -1 (-.f32 -1 ux)) (+.f32 (*.f32 ux -2) 1))
(+.f32 (-.f32 ux (/.f32 ux 2)) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))
(+.f32 (-.f32 (/.f32 ux 2) (-.f32 -1 (.f32 ux -3))) (/.f32 (.f32 ux 3) 2))
(+.f32 (-.f32 (neg.f32 ux) (/.f32 ux -2)) (-.f32 (neg.f32 ux) (+.f32 (/.f32 ux -2) -1)))
(+.f32 (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)) (/.f32 (-.f32 -1 ux) -2))
(+.f32 (-.f32 (/.f32 ux 2) (+.f32 ux -1)) (/.f32 ux -2))
(+.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (.f32 ux -3))) (.f32 ux -3))
(+.f32 (-.f32 (neg.f32 ux) (-.f32 -1 (/.f32 ux 2))) (-.f32 (neg.f32 ux) (/.f32 ux -2)))
(+.f32 (-.f32 -1 (.f32 ux 4)) (-.f32 1 (+.f32 -1 (.f32 ux -3))))
(+.f32 (-.f32 -1 (+.f32 ux ux)) (-.f32 1 (-.f32 -1 ux)))
(+.f32 (-.f32 -1 (-.f32 -1 (*.f32 ux -3))) (+.f32 ux (+.f32 ux 1)))
(*.f32 -1 (+.f32 ux -1))
(*.f32 (-.f32 1 ux) 1)
(*.f32 1 (-.f32 1 ux))
(*.f32 (+.f32 ux -1) -1)
(.f32 2 (.f32 (-.f32 1 ux) 1/2))
(*.f32 (-.f32 2 (+.f32 ux ux)) 1/2)
(*.f32 1/2 (-.f32 2 (+.f32 ux ux)))
(.f32 (.f32 (-.f32 1 ux) 4) 1/4)
(.f32 1/4 (.f32 (-.f32 1 ux) 4))
(.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)
(/.f32 (-.f32 1 ux) 1)
(/.f32 (+.f32 ux -1) -1)
(/.f32 (-.f32 2 (+.f32 ux ux)) 2)
(/.f32 (*.f32 (-.f32 1 ux) 4) 4)
(/.f32 (*.f32 (+.f32 ux -1) 2) -2)
(/.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)
(/.f32 (.f32 2 (.f32 (+.f32 ux -1) 2)) -4)
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 ux -1) 2)) -1) 4)
(/.f32 (+.f32 (.f32 ux -8) (neg.f32 (.f32 (-.f32 -1 ux) 4))) 4)
(/.f32 (+.f32 (neg.f32 (.f32 (-.f32 -1 ux) 4)) (.f32 ux -8)) 4)
(/.f32 (+.f32 (+.f32 ux ux) (-.f32 (*.f32 ux -4) -2)) 2)
(/.f32 (-.f32 (.f32 (+.f32 ux ux) -8) (.f32 2 (*.f32 (-.f32 -1 ux) 4))) 8)
(/.f32 (-.f32 (.f32 ux 4) (.f32 2 (-.f32 (*.f32 ux 4) 2))) 4)
(/.f32 (-.f32 (-.f32 (+.f32 ux ux) -2) (*.f32 ux 4)) 2)
(/.f32 (-.f32 (neg.f32 (.f32 (-.f32 -1 ux) 4)) (neg.f32 (.f32 ux -8))) 4)
(/.f32 (-.f32 (-.f32 (.f32 ux -4) -2) (.f32 ux -2)) 2)
(/.f32 (-.f32 (.f32 ux 4) (.f32 2 (-.f32 -1 (*.f32 ux -3)))) 2)
(/.f32 (-.f32 (.f32 (+.f32 ux ux) -8) (+.f32 (.f32 (-.f32 -1 ux) 4) (*.f32 ux -8))) 4)
(/.f32 (-.f32 (.f32 2 (+.f32 -1 (.f32 ux -3))) (*.f32 (-.f32 -1 ux) 4)) 2)
(/.f32 (-.f32 (+.f32 (.f32 (-.f32 -1 ux) 4) (.f32 ux -8)) (.f32 2 (.f32 (-.f32 -1 ux) 4))) 4)
(pow.f32 (-.f32 1 ux) 1)
(neg.f32 (+.f32 ux -1))

Outputs
1
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 -1 ux)
(neg.f32 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 -1 ux)
(neg.f32 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 ux (+.f32 (*.f32 ux -2) 1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 ux -2) (+.f32 ux 1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 1 ux) 0)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 0 (-.f32 1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 ux (+.f32 ux -1)) (-.f32 1 (-.f32 -1 (*.f32 ux -3))))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 ux -1) (-.f32 2 (+.f32 ux ux)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 ux 1) (*.f32 ux -2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 (*.f32 ux -2) 1) ux)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (neg.f32 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 ux ux) (+.f32 1 (*.f32 ux -3)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 2 (-.f32 -1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 2 (+.f32 ux ux)) (+.f32 ux -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 1 (*.f32 ux -3)) (+.f32 ux ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 ux 2) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 ux 2) (/.f32 (-.f32 (*.f32 ux -3) -2) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 1/2 (/.f32 ux -2)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 (*.f32 ux -2) -1) (neg.f32 (+.f32 -2 (neg.f32 ux))))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) (/.f32 (+.f32 ux -1) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 ux -2) (/.f32 (-.f32 1 (+.f32 ux -1)) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) (+.f32 (*.f32 ux -2) -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)))
(+.f32 (-.f32 1/2 (/.f32 ux -2)) (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (+.f32 (.f32 ux 1/2) 1/2))
(+.f32 (/.f32 (-.f32 -1 ux) -2) (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (-.f32 -1 ux) -2) (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 (neg.f32 ux) 1/2) 1/2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (*.f32 (-.f32 1 ux) 3) 4))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)) (/.f32 (-.f32 -1 ux) -2))
(+.f32 (-.f32 1/2 (/.f32 ux -2)) (-.f32 1/2 (/.f32 (*.f32 ux 3) 2)))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (+.f32 (.f32 ux 1/2) 1/2))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (-.f32 (.f32 ux -2) (/.f32 (+.f32 (-.f32 -1 ux) (*.f32 ux -4)) 2)))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (+.f32 (.f32 ux 2) (-.f32 (.f32 ux -2) (-.f32 -1/2 (.f32 ux 1/2)))))
(+.f32 (-.f32 1/2 (/.f32 (.f32 ux 3) 2)) (+.f32 0 (+.f32 (.f32 ux 1/2) 1/2)))
(+.f32 (/.f32 (*.f32 ux -3) 2) (+.f32 (/.f32 ux 2) 1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (*.f32 ux -3) 2) (/.f32 (neg.f32 (+.f32 -2 (neg.f32 ux))) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))) (/.f32 ux 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (+.f32 (/.f32 ux 2) 1) (/.f32 (*.f32 ux -3) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (+.f32 (/.f32 ux 2) (+.f32 ux -1/2)) -1) (/.f32 (-.f32 -1 ux) -2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 ux -1) 2) (+.f32 ux -1/2)) -1) (/.f32 ux 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (/.f32 (+.f32 1 (*.f32 ux -3)) 4) (/.f32 (+.f32 (+.f32 ux 1) (-.f32 2 (+.f32 ux ux))) 4))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 -1 (-.f32 -1 ux)) (+.f32 (*.f32 ux -2) 1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 ux (/.f32 ux 2)) (-.f32 (/.f32 ux 2) (+.f32 ux (+.f32 ux -1))))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (/.f32 ux 2) (-.f32 -1 (.f32 ux -3))) (/.f32 (.f32 ux 3) 2))
(+.f32 (/.f32 (.f32 ux 3) 2) (-.f32 (/.f32 ux 2) (-.f32 -1 (.f32 ux -3))))
(+.f32 (/.f32 (.f32 ux 3) 2) (-.f32 (.f32 ux -3) (-.f32 -1 (/.f32 ux 2))))
(+.f32 (/.f32 (.f32 ux 3) 2) (-.f32 (.f32 ux -3) (-.f32 -1 (*.f32 ux 1/2))))
(+.f32 (-.f32 (neg.f32 ux) (/.f32 ux -2)) (-.f32 (neg.f32 ux) (+.f32 (/.f32 ux -2) -1)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (/.f32 (-.f32 -1 ux) -2) (+.f32 ux ux)) (/.f32 (-.f32 -1 ux) -2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (/.f32 ux 2) (+.f32 ux -1)) (/.f32 ux -2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (neg.f32 ux) (+.f32 -1 (.f32 ux -3))) (.f32 ux -3))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 (neg.f32 ux) (-.f32 -1 (/.f32 ux 2))) (-.f32 (neg.f32 ux) (/.f32 ux -2)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 -1 (.f32 ux 4)) (-.f32 1 (+.f32 -1 (.f32 ux -3))))
(+.f32 (-.f32 -1 (.f32 ux 4)) (+.f32 2 (neg.f32 (.f32 ux -3))))
(+.f32 2 (+.f32 (neg.f32 (.f32 ux -3)) (-.f32 -1 (.f32 ux 4))))
(+.f32 2 (+.f32 (.f32 ux 3) (-.f32 -1 (.f32 ux 4))))
(+.f32 (-.f32 -1 (+.f32 ux ux)) (-.f32 1 (-.f32 -1 ux)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (-.f32 -1 (-.f32 -1 (*.f32 ux -3))) (+.f32 ux (+.f32 ux 1)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 -1 (+.f32 ux -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 1 (-.f32 1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (+.f32 ux -1) -1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 2 (.f32 (-.f32 1 ux) 1/2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (-.f32 2 (+.f32 ux ux)) 1/2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 1/2 (-.f32 2 (+.f32 ux ux)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 (.f32 (-.f32 1 ux) 4) 1/4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 1/4 (.f32 (-.f32 1 ux) 4))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 ux -1) -1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 2 (+.f32 ux ux)) 2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (*.f32 (-.f32 1 ux) 4) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (*.f32 (+.f32 ux -1) 2) -2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (.f32 2 (.f32 (+.f32 ux -1) 2)) -4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 ux -1) 2)) -1) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 (.f32 ux -8) (neg.f32 (.f32 (-.f32 -1 ux) 4))) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 (neg.f32 (.f32 (-.f32 -1 ux) 4)) (.f32 ux -8)) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 (+.f32 ux ux) (-.f32 (*.f32 ux -4) -2)) 2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (.f32 (+.f32 ux ux) -8) (.f32 2 (*.f32 (-.f32 -1 ux) 4))) 8)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (.f32 ux 4) (.f32 2 (-.f32 (*.f32 ux 4) 2))) 4)
(/.f32 (-.f32 (.f32 ux 4) (.f32 2 (+.f32 -2 (*.f32 ux 4)))) 4)
(-.f32 ux (/.f32 (.f32 2 (+.f32 -2 (.f32 ux 4))) 4))
(/.f32 (-.f32 (-.f32 (+.f32 ux ux) -2) (*.f32 ux 4)) 2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (neg.f32 (.f32 (-.f32 -1 ux) 4)) (neg.f32 (.f32 ux -8))) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (-.f32 (.f32 ux -4) -2) (.f32 ux -2)) 2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (.f32 ux 4) (.f32 2 (-.f32 -1 (*.f32 ux -3)))) 2)
(/.f32 (-.f32 (.f32 ux 4) (.f32 (-.f32 -1 (*.f32 ux -3)) 2)) 2)
(-.f32 (.f32 ux 2) (/.f32 (.f32 (-.f32 -1 (*.f32 ux -3)) 4) 4))
(/.f32 (-.f32 (.f32 (+.f32 ux ux) -8) (+.f32 (.f32 (-.f32 -1 ux) 4) (*.f32 ux -8))) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 (.f32 2 (+.f32 -1 (.f32 ux -3))) (*.f32 (-.f32 -1 ux) 4)) 2)
(-.f32 (/.f32 (.f32 2 (-.f32 (.f32 ux -6) 2)) 4) (*.f32 2 (-.f32 -1 ux)))
(/.f32 (-.f32 (+.f32 (.f32 (-.f32 -1 ux) 4) (.f32 ux -8)) (.f32 2 (.f32 (-.f32 -1 ux) 4))) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(pow.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(neg.f32 (+.f32 ux -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)

eval117.0ms (1.2%)

Compiler: Compiled 1054 to 813 computations (22.9% saved)

prune56.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	98	6	104

Error

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.1b	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
✓	0.7b	(-.f32 1 ux)
✓	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
▶	1.1b	(+.f32 2 (-.f32 -1 ux))
	9.9b	1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize53.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(+.f32 2 (-.f32 -1 ux))

Compiler

Compiled 14 to 11 computations (21.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	ux	@	0	(+.f32 2 (-.f32 -1 ux))
0.0ms	ux	@	inf	(+.f32 2 (-.f32 -1 ux))
0.0ms	ux	@	-inf	(+.f32 2 (-.f32 -1 ux))

rewrite257.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`rational_best-1`
1940×	`rational_best-4`
1940×	`rational_best-2`
1940×	`rational_best-3`
642×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	86	7
3	215	7
4	769	7
5	5518	7

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(+.f32 2 (-.f32 -1 ux))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 2 (+.f32 ux 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (+.f32 ux -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1 ux) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 ux) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 -1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 ux)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 ux) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 ux 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (/.f32 (-.f32 ux (-.f32 1 ux)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 ux -2) -1/2) (-.f32 (/.f32 ux 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 ux -2) -1/2) (+.f32 (+.f32 (/.f32 ux 2) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 ux -2) -1/2) (/.f32 (+.f32 -2 (+.f32 -1 ux)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (/.f32 ux 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 2 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 ux -2) (/.f32 (+.f32 ux -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 1 ux) 4) (-.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1/2 (/.f32 (+.f32 -2 (-.f32 ux (-.f32 1 ux))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 ux -2) 3/2) (/.f32 (+.f32 ux 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 1/2 (/.f32 ux -2))) (-.f32 0 (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (neg.f32 ux) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) -2) (/.f32 (+.f32 ux 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 ux 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 2 ux) 2) (/.f32 ux 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 2 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 ux (/.f32 (+.f32 ux 1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) ux) 2) (/.f32 (-.f32 (/.f32 ux 2) 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2) (/.f32 (+.f32 (/.f32 ux 2) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 4) (/.f32 (+.f32 -1 ux) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (/.f32 ux -2) 3/2) 2) (/.f32 (+.f32 (/.f32 (*.f32 ux 3) 2) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 -1 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1) (-.f32 (/.f32 (+.f32 ux 1) 2) (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 (/.f32 ux -2) -1/2)) (-.f32 -1 (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1/2) (-.f32 (/.f32 ux 2) (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) -1/2) (-.f32 (/.f32 (+.f32 ux -2) 2) (/.f32 (-.f32 1 ux) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (-.f32 1 ux) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 1 ux))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 2 (+.f32 ux ux)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 ux) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 2 (+.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 ux) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 1 ux) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 2 (+.f32 ux ux)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 ux) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) (*.f32 (-.f32 2 (+.f32 ux ux)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 ux) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 -1 ux))))))

simplify263.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

722×	`rational_best-simplify-50`
714×	`rational_best-simplify-47`
696×	`rational_best-simplify-57`
568×	`rational_best-simplify-55`
480×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	811
1	395	537
2	1103	537
3	5179	531

Stop Event

1×	node limit

Counts

67 → 68

Calls

Call 1

Inputs
1
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(*.f32 -1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(*.f32 -1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 (*.f32 -1 ux) 1)
(-.f32 2 (+.f32 ux 1))
(-.f32 -1 (+.f32 ux -2))
(-.f32 (-.f32 -1 ux) -2)
(-.f32 (-.f32 1 ux) 0)
(-.f32 0 (+.f32 -1 ux))
(-.f32 1 ux)
(-.f32 1 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux 1) 2)))
(-.f32 (neg.f32 ux) -1)
(-.f32 1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 ux 2)))
(-.f32 1/2 (/.f32 (-.f32 ux (-.f32 1 ux)) 2))
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (-.f32 (/.f32 ux 2) 3/2))
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (+.f32 (+.f32 (/.f32 ux 2) -1/2) -1))
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (/.f32 (+.f32 -2 (+.f32 -1 ux)) 2))
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (/.f32 ux 2) -1/2))
(-.f32 (-.f32 2 ux) 1)
(-.f32 (/.f32 ux -2) (/.f32 (+.f32 ux -2) 2))
(-.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) 2))
(-.f32 (/.f32 (-.f32 1 ux) 4) (-.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (-.f32 1 ux) 4)))
(-.f32 -1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux -2) 2)))
(-.f32 -1/2 (/.f32 (+.f32 -2 (-.f32 ux (-.f32 1 ux))) 2))
(-.f32 (+.f32 (/.f32 ux -2) 3/2) (/.f32 (+.f32 ux 1) 2))
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 1/2 (/.f32 ux -2))) (-.f32 0 (/.f32 (-.f32 1 ux) 4)))
(-.f32 (-.f32 (neg.f32 ux) -2) 1)
(-.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) -2) (/.f32 (+.f32 ux 1) 2))
(-.f32 (-.f32 1 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux 1) 2))
(-.f32 (-.f32 1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 ux 2))
(-.f32 (-.f32 -1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux -2) 2))
(-.f32 (/.f32 (-.f32 2 ux) 2) (/.f32 ux 2))
(-.f32 (/.f32 (+.f32 2 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 ux (/.f32 (+.f32 ux 1) 2)) 2))
(-.f32 (/.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) ux) 2) (/.f32 (-.f32 (/.f32 ux 2) 5/2) 2))
(-.f32 (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2) (/.f32 (+.f32 (/.f32 ux 2) -1/2) 2))
(-.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 4) (/.f32 (+.f32 -1 ux) 4))
(-.f32 (/.f32 (+.f32 (/.f32 ux -2) 3/2) 2) (/.f32 (+.f32 (/.f32 (*.f32 ux 3) 2) -1/2) 2))
(-.f32 (/.f32 (+.f32 -1 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) -1) 2))
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1) (-.f32 (/.f32 (+.f32 ux 1) 2) (/.f32 (-.f32 1 ux) 4)))
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 (/.f32 ux -2) -1/2)) (-.f32 -1 (/.f32 (-.f32 1 ux) 4)))
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1/2) (-.f32 (/.f32 ux 2) (/.f32 (-.f32 1 ux) 4)))
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) -1/2) (-.f32 (/.f32 (+.f32 ux -2) 2) (/.f32 (-.f32 1 ux) 4)))
(.f32 2 (.f32 (-.f32 1 ux) 1/2))
(*.f32 (-.f32 1 ux) 1)
(*.f32 1 (-.f32 1 ux))
(*.f32 (-.f32 2 (+.f32 ux ux)) 1/2)
(*.f32 (+.f32 -1 ux) -1)
(*.f32 1/2 (-.f32 2 (+.f32 ux ux)))
(.f32 (.f32 (-.f32 1 ux) 4) 1/4)
(.f32 1/4 (.f32 (-.f32 1 ux) 4))
(.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)
(/.f32 (-.f32 1 ux) 1)
(/.f32 (-.f32 2 (+.f32 ux ux)) 2)
(/.f32 (+.f32 -1 ux) -1)
(/.f32 (*.f32 (-.f32 1 ux) 4) 4)
(/.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 (-.f32 2 (+.f32 ux ux)) 4)) 16)
(pow.f32 (-.f32 1 ux) 1)
(neg.f32 (+.f32 -1 ux))

Outputs
1
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 -1 ux)
(neg.f32 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 -1 ux)
(neg.f32 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(+.f32 (*.f32 -1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 2 (+.f32 ux 1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 -1 (+.f32 ux -2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 -1 ux) -2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 1 ux) 0)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 0 (+.f32 -1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 1 ux)
(+.f32 1 (neg.f32 ux))
(-.f32 1 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux 1) 2)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (neg.f32 ux) -1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 ux 2)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 1/2 (/.f32 (-.f32 ux (-.f32 1 ux)) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (-.f32 (/.f32 ux 2) 3/2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (+.f32 (+.f32 (/.f32 ux 2) -1/2) -1))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 ux -2) -1/2) (/.f32 (+.f32 -2 (+.f32 -1 ux)) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 1/2 (/.f32 ux -2)) (+.f32 (/.f32 ux 2) -1/2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 2 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 ux -2) (/.f32 (+.f32 ux -2) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (-.f32 1 ux) 4) (/.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (-.f32 1 ux) 4) (-.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 -1/2 (+.f32 (+.f32 (/.f32 ux 2) -1/2) (/.f32 (+.f32 ux -2) 2)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 -1/2 (/.f32 (+.f32 -2 (-.f32 ux (-.f32 1 ux))) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 ux -2) 3/2) (/.f32 (+.f32 ux 1) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 1/2 (/.f32 ux -2))) (-.f32 0 (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 (neg.f32 ux) -2) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) -2) (/.f32 (+.f32 ux 1) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 1 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux 1) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 ux 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (-.f32 -1/2 (+.f32 (/.f32 ux 2) -1/2)) (/.f32 (+.f32 ux -2) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (-.f32 2 ux) 2) (/.f32 ux 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (+.f32 2 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 ux (/.f32 (+.f32 ux 1) 2)) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (-.f32 (+.f32 (/.f32 ux -2) -1/2) ux) 2) (/.f32 (-.f32 (/.f32 ux 2) 5/2) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (/.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 2) 2) (/.f32 (+.f32 (/.f32 ux 2) -1/2) 2))
(-.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 4) (/.f32 (+.f32 (/.f32 ux 2) -1/2) 2))
(/.f32 (+.f32 (-.f32 (*.f32 (-.f32 1 ux) 3) ux) 1) 4)
(+.f32 1/4 (/.f32 (-.f32 (*.f32 (-.f32 1 ux) 3) ux) 4))
(/.f32 (+.f32 1 (-.f32 (*.f32 (-.f32 1 ux) 3) ux)) 4)
(-.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 4) (/.f32 (+.f32 -1 ux) 4))
(-.f32 (/.f32 (*.f32 (-.f32 1 ux) 3) 4) (/.f32 (+.f32 (/.f32 ux 2) -1/2) 2))
(/.f32 (+.f32 (-.f32 (*.f32 (-.f32 1 ux) 3) ux) 1) 4)
(+.f32 1/4 (/.f32 (-.f32 (*.f32 (-.f32 1 ux) 3) ux) 4))
(/.f32 (+.f32 1 (-.f32 (*.f32 (-.f32 1 ux) 3) ux)) 4)
(-.f32 (/.f32 (+.f32 (/.f32 ux -2) 3/2) 2) (/.f32 (+.f32 (/.f32 (*.f32 ux 3) 2) -1/2) 2))
(/.f32 (-.f32 (+.f32 (/.f32 ux -2) 3/2) (+.f32 -1/2 (/.f32 (*.f32 ux 3) 2))) 2)
(+.f32 (-.f32 (+.f32 (/.f32 ux -4) 3/4) (/.f32 (*.f32 ux 3) 4)) 1/4)
(+.f32 1/4 (-.f32 (+.f32 (/.f32 ux -4) 3/4) (/.f32 (*.f32 ux 3) 4)))
(+.f32 1/4 (-.f32 (+.f32 (/.f32 ux -4) 3/4) (*.f32 ux 3/4)))
(-.f32 (/.f32 (+.f32 -1 (+.f32 1/2 (/.f32 ux -2))) 2) (/.f32 (+.f32 (-.f32 ux (+.f32 (/.f32 ux -2) 3/2)) -1) 2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1) (-.f32 (/.f32 (+.f32 ux 1) 2) (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) (+.f32 (/.f32 ux -2) -1/2)) (-.f32 -1 (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) 1/2) (-.f32 (/.f32 ux 2) (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(-.f32 (+.f32 (/.f32 (-.f32 1 ux) 4) -1/2) (-.f32 (/.f32 (+.f32 ux -2) 2) (/.f32 (-.f32 1 ux) 4)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 2 (.f32 (-.f32 1 ux) 1/2))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 1 (-.f32 1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (-.f32 2 (+.f32 ux ux)) 1/2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 (+.f32 -1 ux) -1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(*.f32 1/2 (-.f32 2 (+.f32 ux ux)))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 (.f32 (-.f32 1 ux) 4) 1/4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 1/4 (.f32 (-.f32 1 ux) 4))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) 1/8)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (-.f32 2 (+.f32 ux ux)) 2)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 -1 ux) -1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (*.f32 (-.f32 1 ux) 4) 4)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (*.f32 (-.f32 2 (+.f32 ux ux)) 4) 8)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(/.f32 (+.f32 (.f32 (-.f32 2 (+.f32 ux ux)) 4) (.f32 (-.f32 2 (+.f32 ux ux)) 4)) 16)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(pow.f32 (-.f32 1 ux) 1)
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)
(neg.f32 (+.f32 -1 ux))
(+.f32 1 (neg.f32 ux))
(-.f32 1 ux)

eval72.0ms (0.7%)

Compiler: Compiled 692 to 561 computations (18.9% saved)

prune36.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	68	6	74

Error

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.1b	(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
✓	0.7b	(-.f32 1 ux)
✓	0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
✓	1.1b	(+.f32 2 (-.f32 -1 ux))
	9.9b	1

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes354.0ms (3.5%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(-.f32 1 ux)
(+.f32 2 (-.f32 -1 ux))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
(-.f32 (*.f32 ux -2) (-.f32 -1 ux))
(-.f32 (.f32 ux -2) (+.f32 (-.f32 1 (+.f32 ux (.f32 ux maxCos))) -2))

Outputs
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))

Calls

4 calls:

37.0ms	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
25.0ms	ux
15.0ms	maxCos
9.0ms	uy

Results

Error	Segments	Branch
0.0b	1	`ux`
0.0b	1	`uy`
0.0b	1	`maxCos`
0.0b	1	`(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))`

Compiler

Compiled 68 to 46 computations (32.4% saved)

regimes94.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(-.f32 1 ux)
(+.f32 2 (-.f32 -1 ux))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Outputs
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Calls

4 calls:

58.0ms	uy
19.0ms	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
7.0ms	maxCos
7.0ms	ux

Results

Error	Segments	Branch
0.0b	1	`ux`
0.0b	1	`uy`
0.0b	1	`maxCos`
0.0b	1	`(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))`

Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes223.0ms (2.2%)

Accuracy

Total -9.2b remaining (-1235.6%)

Threshold costs -9.2b (-1235.6%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(-.f32 1 ux)
(+.f32 2 (-.f32 -1 ux))

Outputs
(-.f32 1 ux)

Calls

3 calls:

160.0ms	ux
31.0ms	uy
31.0ms	maxCos

Results

Error	Segments	Branch
0.7b	1	`ux`
0.7b	1	`uy`
0.7b	1	`maxCos`

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(-.f32 1 ux)
1

Outputs
(-.f32 1 (-.f32 ux (*.f32 ux maxCos)))
(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
(-.f32 1 ux)
1

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness238.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational_best-simplify-83`
1160×	`rational_best-simplify-67`
1058×	`rational_best-simplify-56`
962×	`rational_best-simplify-66`
916×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	13	19
2	18	19
3	30	19
4	49	19
5	79	19
6	130	19
7	280	19
8	782	19
9	2959	19

Stop Event

1×	node limit

Compiler

Compiled 50 to 27 computations (46% saved)

end76.0ms (0.8%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Details

analyze1.0ms (0%)

sample4.3s (42.9%)

preprocess342.0ms (3.4%)

simplify248.0ms (2.5%)

eval1.0ms (0%)

prune3.0ms (0%)

localize99.0ms (1%)

series3.0ms (0%)

rewrite273.0ms (2.7%)

simplify316.0ms (3.2%)

localize64.0ms (0.6%)

series1.0ms (0%)

rewrite115.0ms (1.2%)

simplify266.0ms (2.7%)

eval238.0ms (2.4%)

prune154.0ms (1.5%)

localize28.0ms (0.3%)

localize139.0ms (1.4%)

series3.0ms (0%)

rewrite257.0ms (2.6%)

simplify383.0ms (3.8%)

eval194.0ms (1.9%)

prune117.0ms (1.2%)

localize83.0ms (0.8%)

series0.0ms (0%)

rewrite168.0ms (1.7%)

simplify373.0ms (3.7%)

eval117.0ms (1.2%)

prune56.0ms (0.6%)

localize53.0ms (0.5%)

series0.0ms (0%)

rewrite257.0ms (2.6%)

simplify263.0ms (2.6%)

eval72.0ms (0.7%)

prune36.0ms (0.4%)

regimes354.0ms (3.5%)

regimes94.0ms (0.9%)

regimes223.0ms (2.2%)

simplify3.0ms (0%)

soundness238.0ms (2.4%)

end76.0ms (0.8%)

Profiling