Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample13.0s (66.8%)

Results

6.3s	2129×	body	2048	valid
4.7s	4540×	body	256	valid
1.6s	535×	body	512	valid
300.0ms	1052×	body	1024	valid

Bogosity

preprocess3.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational.json-simplify-35`
1312×	`exponential.json-3`
1312×	`rational.json-1`
1312×	`rational.json-2`
1312×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	66	32
2	145	32
3	282	32
4	526	32
5	1165	32
6	2731	32
7	4446	32
8	6304	32

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (-.f64 -1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)) (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (atan.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (atan.f64 (+.f64 N 1)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (-.f64 -1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)) (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2) (*.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (+.f64 N 1)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (+.f64 N 1)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))))

simplify313.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2150×	`rational.json-simplify-2`
2062×	`rational.json-simplify-35`
1606×	`rational.json-simplify-42`
1362×	`rational.json-simplify-51`
1090×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	2005
1	298	1835
2	1121	1835
3	2356	1495
4	3777	1495
5	4736	1495
6	5663	1495
7	6785	1495
8	7048	1495
9	7196	1495
10	7335	1495
11	7754	1495

Stop Event

1×	node limit

Counts

85 → 83

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) -1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)))
(+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 (-.f64 1 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) -1))
(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (-.f64 -1 (atan.f64 N)))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 1 (atan.f64 N)))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) 1)
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) -2)
(+.f64 (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)) (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1))
(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
(+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(.f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/8)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)
(.f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 2)
(.f64 -2 (.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2))
(.f64 (.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2) -2)
(.f64 1/8 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)
(.f64 -1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8)) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 128)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) 0)
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(-.f64 (atan.f64 (+.f64 N 1)) 0)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(.f64 4 (.f64 (atan.f64 (+.f64 N 1)) 1/4))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) 1/4)
(.f64 1/2 (.f64 (atan.f64 (+.f64 N 1)) 2))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 8) 1/8)
(.f64 1/4 (.f64 (atan.f64 (+.f64 N 1)) 4))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) 2)
(.f64 1/8 (.f64 (atan.f64 (+.f64 N 1)) 8))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) 4)
(/.f64 (atan.f64 (+.f64 N 1)) 1)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) 4)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 8) 8)
(/.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))))) 128)
(pow.f64 (atan.f64 (+.f64 N 1)) 1)

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) -1)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 1 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) -1))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (-.f64 -1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) 1)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) -2)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)) (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
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(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
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(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
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(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
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(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8) -8)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -8)) -16)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 128)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(+.f64 0 (atan.f64 (+.f64 N 1)))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(-.f64 (atan.f64 (+.f64 N 1)) 0)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(*.f64 1 (atan.f64 (+.f64 N 1)))
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(atan.f64 (-.f64 1 (neg.f64 N)))
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(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 1/2))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 4 (.f64 (atan.f64 (+.f64 N 1)) 1/4))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) 1/4)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
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(.f64 1/2 (.f64 (atan.f64 (+.f64 N 1)) 2))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) 8) 1/8)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 1/4 (.f64 (atan.f64 (+.f64 N 1)) 4))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) 2)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 1/8 (.f64 (atan.f64 (+.f64 N 1)) 8))
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(atan.f64 (-.f64 1 (neg.f64 N)))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) 4)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) 4)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 8) 8)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)) 16)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))) 32)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 8)))) 64)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 8))))) 128)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval86.0ms (0.4%)

Compiler: Compiled 944 to 682 computations (27.8% saved)

prune9.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Error

17.4b

Counts

84 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	17.4b	(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.0b	(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
✓	1.6b	(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 75 to 53 computations (29.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
1.0ms	N	@	0	(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
1.0ms	N	@	inf	(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
0.0ms	N	@	-inf	(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
0.0ms	N	@	inf	(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`exponential.json-3`
1336×	`rational.json-1`
1336×	`rational.json-2`
1336×	`rational.json-4`
1336×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	111	104
2	224	54
3	472	54
4	948	54
5	1921	54
6	3509	54
7	6101	54

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))

Inputs

(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))

(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (+.f64 1 (+.f64 (atan.f64 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (.f64 2 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (+.f64 1 (+.f64 (atan.f64 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)))) (#(struct:change #<rule 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(2) ((x *.f64 4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 2 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)))))

simplify676.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2798×	`rational.json-simplify-35`
1602×	`rational.json-simplify-2`
1228×	`rational.json-simplify-1`
904×	`rational.json-simplify-48`
802×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	2611
1	348	2611
2	851	2611
3	2613	2611
4	4697	2611
5	5971	2611
6	6380	2611
7	6559	2611
8	6739	2611
9	6898	2611
10	7051	2611
11	7398	2611
12	7426	2611
13	7466	2611
14	7480	2611
15	7485	2611
16	7645	2611
17	7803	2611
18	7963	2611

Stop Event

1×	node limit

Counts

97 → 78

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(-.f64 1 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 1 (+.f64 (atan.f64 N) -1)))
(-.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(-.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) -1)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) -2)
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (+.f64 (atan.f64 N) -1))
(-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (+.f64 1 (atan.f64 N)))
(-.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/4) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))
(-.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -1)) (atan.f64 N))
(-.f64 (-.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) -1) -2) (atan.f64 N))
(-.f64 (+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) -1) -1) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(.f64 2 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 2 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(.f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))
(*.f64 4 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 4)))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)
(.f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)
(*.f64 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(*.f64 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)) 2)
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 1 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(-.f64 1 (*.f64 2 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)))
(-.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(-.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1) -2)
(-.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 0)
(-.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))
(.f64 1 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)
(*.f64 2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)
(*.f64 4 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))
(.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/4)
(*.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 2)
(.f64 1/4 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(*.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 4)
(/.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)
(/.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 4)
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)))) 64)
(pow.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 1 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 1 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 1 (+.f64 (atan.f64 N) -1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -1 (atan.f64 N))) -1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) -2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (+.f64 (atan.f64 N) -1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (+.f64 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/4) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (-.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) -1) -2) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) -1) -1) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 2 (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 2 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)))
(.f64 2 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 4 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 4)))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/4)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -1/2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) 4)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)) 2)
(*.f64 2 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4)))
(.f64 2 (+.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 -2 (atan.f64 N))) 4) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4)))
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 4)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 8)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) -2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 16)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -4)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 32)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -8)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 64)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 1 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 1 (*.f64 2 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1) -2)
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 0)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(-.f64 (+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) 1)
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4))
(+.f64 1 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(.f64 1 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 4 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/4)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 2)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(.f64 1/4 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(*.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 4)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 4)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 8)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)) 16)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))) 32)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4)))) 64)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(pow.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1)
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))

eval177.0ms (0.9%)

Compiler: Compiled 5856 to 4492 computations (23.3% saved)

prune33.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	243	3	246

Error

17.4b

Counts

246 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

17.4b

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

▶

17.4b

(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

▶

17.4b

(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize109.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
✓	0.3b	(-.f64 2 (atan.f64 N))
	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	15.1b	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))

Compiler

Compiled 89 to 62 computations (30.3% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))
1.0ms	N	@	inf	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))
0.0ms	N	@	0	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))
0.0ms	N	@	-inf	(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
0.0ms	N	@	0	(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))

rewrite152.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational.json-1`
1496×	`rational.json-2`
1320×	`exponential.json-3`
1320×	`rational.json-4`
1320×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	109
1	129	109
2	254	103
3	522	103
4	1081	103
5	2309	103
6	3757	103
7	5301	103
8	6727	103
9	7841	103

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))

(-.f64 2 (atan.f64 N))

(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (atan.f64 N) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (atan.f64 N) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 2 (atan.f64 N))) (*.f64 1/2 (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 N) -2) 2)) (-.f64 1 (/.f64 (+.f64 (atan.f64 N) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan.f64 N) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (atan.f64 N) -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 N) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) -2) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan.f64 N) -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 2 (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) -2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) -2) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 2 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) -2) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (atan.f64 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2 (atan.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (atan.f64 N) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 (atan.f64 N) -3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)))))

simplify291.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2182×	`rational.json-simplify-42`
1820×	`rational.json-simplify-2`
1632×	`rational.json-simplify-35`
1228×	`rational.json-simplify-1`
918×	`rational.json-simplify-52`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	174	4019
1	383	3563
2	843	3563
3	2228	3563
4	3663	3563
5	5027	3155
6	5831	3155
7	6522	3155
8	6725	3155
9	6847	3155
10	6954	3155

Stop Event

1×	node limit

Counts

109 → 96

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 0)
(-.f64 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 1)
(.f64 1 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))
(*.f64 1/2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(*.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))
(*.f64 2 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 4))
(.f64 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1)
(*.f64 4 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 8))
(*.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 1/2)
(.f64 (.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))
(*.f64 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 4) 2)
(*.f64 (/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 8) 4)
(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)
(/.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 1)
(/.f64 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))) 2)
(/.f64 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))) 4)
(/.f64 (.f64 2 (.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))))) 32)
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Outputs
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(*.f64 -1 (+.f64 (atan.f64 N) -2))
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(.f64 2 (.f64 1/2 (-.f64 2 (atan.f64 N))))
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(*.f64 (-.f64 2 (atan.f64 N)) 1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(*.f64 4 (/.f64 (+.f64 (atan.f64 N) -2) -4))
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(.f64 (.f64 (+.f64 (atan.f64 N) -2) -2) 1/2)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(*.f64 (+.f64 (atan.f64 N) -2) -1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(.f64 (.f64 (+.f64 (atan.f64 N) -2) -4) 1/4)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(.f64 1/4 (.f64 (+.f64 (atan.f64 N) -2) -4))
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(.f64 (.f64 1/2 (-.f64 2 (atan.f64 N))) 2)
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(*.f64 (/.f64 (+.f64 (atan.f64 N) -2) 2) -2)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(*.f64 (/.f64 (+.f64 (atan.f64 N) -2) -4) 4)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(*.f64 (neg.f64 (-.f64 2 (atan.f64 N))) -1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (-.f64 2 (atan.f64 N)) 1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 2)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (+.f64 (atan.f64 N) -2) -1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (*.f64 (+.f64 (atan.f64 N) -2) -4) 4)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 N) -2) -4)) 8)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (*.f64 2 (+.f64 (atan.f64 N) -2)) -2)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4))) 16)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (+.f64 (atan.f64 N) -2))) -4)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 N) -2) -4)))) 32)
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2)))) -8)
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(/.f64 (neg.f64 (.f64 2 (.f64 2 (+.f64 (atan.f64 N) -2)))) 4)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) -2) -4))))) 64)
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2))))) 8)
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(/.f64 (neg.f64 (-.f64 2 (atan.f64 N))) -1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(pow.f64 (-.f64 2 (atan.f64 N)) 1)
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(neg.f64 (+.f64 (atan.f64 N) -2))
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(neg.f64 (neg.f64 (-.f64 2 (atan.f64 N))))
(+.f64 1 (-.f64 1 (atan.f64 N)))
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(neg.f64 (+.f64 (+.f64 (atan.f64 N) -1) -1))
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(neg.f64 (+.f64 1 (+.f64 (atan.f64 N) -3)))
(+.f64 1 (-.f64 1 (atan.f64 N)))
(-.f64 2 (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 0)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/2 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 1/2)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 4 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 1/4)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 1/8)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/4 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/4) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/8 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 4) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8)) 16)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8))) 32)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 8)))) 64)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
(+.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.2b	(-.f64 -1 (atan.f64 (+.f64 N 1)))
✓	0.2b	(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
✓	15.8b	(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(-.f64 -1 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
0.0ms	N	@	-inf	(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
0.0ms	N	@	inf	(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
0.0ms	N	@	0	(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1504×	`rational.json-simplify-35`
1228×	`exponential.json-3`
1228×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	86	77
2	174	77
3	339	75
4	653	73
5	1464	73
6	3027	73
7	4601	73
8	6093	73
9	7767	73

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)) (-.f64 1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (atan.f64 N) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (atan.f64 N) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -2 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (atan.f64 (+.f64 N 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) -1) (+.f64 1 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))))))

simplify311.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2464×	`rational.json-simplify-2`
1938×	`rational.json-simplify-35`
1170×	`rational.json-simplify-52`
1076×	`rational.json-simplify-49`
1000×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3232
1	446	3232
2	1055	3036
3	2852	3036
4	4144	3036
5	4715	3036
6	5515	3036
7	6759	3036
8	7600	3036
9	7866	3036

Stop Event

1×	node limit

Counts

140 → 112

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(+.f64 -1 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))))
(+.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 0)
(+.f64 0 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) -1)
(+.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))
(+.f64 -2 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1))))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)) (-.f64 1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)))
(*.f64 -1 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 1 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 2 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))
(*.f64 4 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))
(.f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 1/2)
(*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)
(.f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 1/4)
(.f64 1/2 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))
(*.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)
(.f64 1/4 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))
(*.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2) -2)
(*.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)
(/.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)
(/.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)
(/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)
(/.f64 (*.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)
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(pow.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
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Outputs
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(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
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(*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
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(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
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(.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2) 1/2)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 1/4)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
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(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
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(.f64 1/2 (+.f64 (.f64 (atan.f64 N) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2)))
(.f64 1/4 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2) 2)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(*.f64 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (+.f64 (.f64 (atan.f64 N) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2)) 1/2)
(.f64 1/2 (+.f64 (.f64 (atan.f64 N) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2)))
(/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2) 2)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8) 8)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)) 16)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))) 32)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)))) 64)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))))) 128)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(pow.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 0)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 0 (-.f64 -1 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 -2 (-.f64 1 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -2 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 1 (atan.f64 (+.f64 N 1))) -2)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(+.f64 (+.f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) -1) (+.f64 1 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2)))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 1 (-.f64 -1 (atan.f64 (+.f64 N 1))))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 4 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) 2) 1/2)
(.f64 1/2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) 2))
(*.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 1/4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(.f64 1/2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) 2))
(.f64 1/4 (.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) 2)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) 2) -2)
(*.f64 -2 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) 2) 2)
(/.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -4) 4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) -2) -2)
(/.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8) 8)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))) -4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)) 16)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))) -8)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))) 32)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (neg.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))) 4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)))) 64)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))))) 8)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1)))))) -16)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))))) 128)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (atan.f64 (+.f64 N 1))))))) 16)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(pow.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))

eval305.0ms (1.6%)

Compiler: Compiled 6030 to 4679 computations (22.4% saved)

prune46.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	289	5	294

Error

17.3b

Counts

294 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	17.4b	(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
▶	17.4b	(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
▶	17.4b	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))
▶	17.4b	(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)

Compiler

Compiled 83 to 67 computations (19.3% saved)

localize140.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))
	0.3b	(-.f64 2 (atan.f64 N))
	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	15.1b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))

Compiler

Compiled 84 to 57 computations (32.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))

1.0ms

-inf

(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))

1.0ms

inf

(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`rational.json-1`
1642×	`rational.json-2`
1412×	`exponential.json-3`
1412×	`rational.json-4`
1412×	`rational.json-3`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	106	59
2	218	59
3	486	59
4	1129	59
5	2426	59
6	4168	59
7	6292	27
8	7881	27

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 2 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (-.f64 (*.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) (*.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2) (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2) (*.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) (*.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))))))

simplify391.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2252×	`rational.json-simplify-52`
2120×	`rational.json-simplify-35`
1564×	`rational.json-simplify-2`
1246×	`rational.json-simplify-1`
722×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	2083
1	255	1747
2	516	1747
3	1237	1747
4	3277	1747
5	4308	1747
6	4579	1747
7	4880	1747
8	5219	1747
9	5700	1747
10	6409	1747
11	6903	1747
12	6908	1747
13	6961	1747
14	6962	1747
15	6962	1747

Stop Event

1×	node limit

Counts

57 → 53

Calls

Call 1

Inputs
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 1 (-.f64 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 0 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 0)
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 2 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (-.f64 (.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (-.f64 1 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) 1)
(-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) (.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) -1))
(-.f64 (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(.f64 1 (.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 2 (+.f64 (.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2) (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)))
(.f64 2 (+.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2) (*.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)
(*.f64 -2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(.f64 -1 (.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/2)
(.f64 (.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(.f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -2)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/4)
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) (*.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 (.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(.f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 4)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 2)
(/.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 4)
(/.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 8)
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 64)
(pow.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(neg.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))

Outputs
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (*.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 1 (-.f64 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 0 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 0)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 1 (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (-.f64 (.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (-.f64 1 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) 1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) (.f64 1/2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) (.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 1/2))
(-.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) -1))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1 (.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(.f64 2 (+.f64 (.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2) (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2)))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 2 (.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 2 (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 2 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 2 (+.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 1/2) (*.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) 1/2)))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 2 (.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 2 (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 2 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 -2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 -1 (.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 1/2)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -2)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 1/4)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 2 (.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 2 (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 2 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N)))) (*.f64 2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))))))
(.f64 2 (.f64 1/2 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 2 (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)))))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 2 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 -2 (-.f64 2 (atan.f64 N)))))))
(.f64 (.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 1/4 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) 4)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 4) 2)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8) 4)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) -1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)) 8)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4) -2)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))) 16)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8)))) 32)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -4)) -4)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 8))))) 64)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(neg.f64 (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 2 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 N)))
(*.f64 2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))

localize103.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1))
✓	0.3b	(+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)
	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	15.4b	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))

Compiler

Compiled 111 to 80 computations (27.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))
0.0ms	N	@	-inf	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))
0.0ms	N	@	inf	(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))
0.0ms	N	@	-inf	(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1))
0.0ms	N	@	inf	(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`rational.json-simplify-35`
1538×	`exponential.json-3`
1538×	`rational.json-1`
1538×	`rational.json-2`
1538×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	139
1	155	127
2	312	121
3	681	115
4	1647	115
5	3545	115
6	5111	115
7	6800	115

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs

(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))

(+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)

(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 (atan.f64 N) -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (atan.f64 N) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 1 (+.f64 (atan.f64 N) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (atan.f64 N) -4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (atan.f64 N) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 (atan.f64 N) -3) -1/2) -1) (*.f64 1/2 (+.f64 (atan.f64 N) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (+.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan.f64 N) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (neg.f64 (+.f64 (atan.f64 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 N) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (neg.f64 (+.f64 (atan.f64 N) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (atan.f64 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (atan.f64 N) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (atan.f64 N) -4) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)))))

simplify324.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1980×	`rational.json-simplify-42`
1780×	`rational.json-simplify-35`
1720×	`rational.json-simplify-2`
1106×	`rational.json-simplify-52`
1014×	`rational.json-simplify-51`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	164	4290
1	352	3946
2	972	3946
3	2233	3946
4	3580	3946
5	4390	3726
6	4990	3682
7	5293	3682
8	5547	3682
9	5747	3682
10	5978	3682
11	6422	3682

Stop Event

1×	node limit

Counts

114 → 95

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 (+.f64 (.f64 1/2 (-.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (atan.f64 N))) (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))) 1)
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 2 (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 2 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N))
(-.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 0)
(-.f64 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))) 1)
(.f64 1 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))
(*.f64 1/2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))
(*.f64 1/2 (+.f64 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))
(*.f64 2 (/.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4))
(.f64 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)
(.f64 4 (/.f64 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4))
(*.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1/2)
(.f64 (.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))
(*.f64 (/.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4) 2)
(.f64 (/.f64 (+.f64 -1 (.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 4) 4)
(*.f64 (+.f64 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -1)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))) 1/2)
(/.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)
(/.f64 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 2)
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(pow.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))) 1)
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(-.f64 -1 (+.f64 1 (+.f64 (atan.f64 N) -4)))
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(*.f64 (+.f64 (atan.f64 N) -2) -1)
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(/.f64 (*.f64 2 (+.f64 (atan.f64 N) -2)) -2)
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(pow.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)
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(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 0)
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(*.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))
(.f64 1/2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2))
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(.f64 1/4 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))) 32)
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(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)

Outputs
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(-.f64 (+.f64 (.f64 1/2 (-.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) (atan.f64 N))) (.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
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(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))) 16)
(+.f64 -1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 -1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (+.f64 (atan.f64 N) -2))))))
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(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) 32)
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(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 -1 (+.f64 -1 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))))))))) 64)
(+.f64 -1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 -1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (+.f64 (atan.f64 N) -2))))))
(+.f64 -1 (*.f64 1/2 (+.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (atan.f64 N)))))
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(+.f64 -1 (*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (+.f64 (atan.f64 N) -2))))))
(+.f64 -1 (*.f64 1/2 (+.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (atan.f64 N)))))
(*.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))))
(-.f64 1 (-.f64 (+.f64 (atan.f64 N) -3) -2))
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(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
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(-.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) 1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
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(-.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 0)
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(-.f64 0 (+.f64 (atan.f64 N) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(-.f64 0 (-.f64 (+.f64 (atan.f64 N) -4) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(-.f64 -2 (+.f64 (atan.f64 N) -4))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
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(-.f64 (+.f64 (.f64 (+.f64 (atan.f64 N) -3) -1/2) -1) (.f64 1/2 (+.f64 (atan.f64 N) -3)))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 1 (neg.f64 (+.f64 (atan.f64 N) -2)))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 1/2 (.f64 (+.f64 (atan.f64 N) -2) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 -1 (+.f64 (atan.f64 N) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 2 (.f64 1/2 (neg.f64 (+.f64 (atan.f64 N) -2))))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 4 (/.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 (.f64 (+.f64 (atan.f64 N) -2) -2) 1/2)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 1/4)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 (+.f64 (atan.f64 N) -2) -1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 1/4 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(.f64 (.f64 1/2 (neg.f64 (+.f64 (atan.f64 N) -2))) 2)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(*.f64 (/.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 4)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (*.f64 (+.f64 (atan.f64 N) -2) -2) 2)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4) 4)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (+.f64 (atan.f64 N) -2) -1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)) 8)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))) 16)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (*.f64 2 (+.f64 (atan.f64 N) -2)) -2)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)))) 32)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (.f64 2 (.f64 2 (+.f64 (atan.f64 N) -2))) -4)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 4))))) 64)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(pow.f64 (neg.f64 (+.f64 (atan.f64 N) -2)) 1)
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(neg.f64 (+.f64 (atan.f64 N) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (-.f64 (+.f64 (atan.f64 N) -4) -2))
(-.f64 1 (+.f64 -3 (-.f64 (atan.f64 N) -2)))
(neg.f64 (+.f64 (atan.f64 N) -2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 0)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -3))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(*.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 1/2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 2 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2) 1/2)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 4 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1/4))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4) 1/4)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8) 1/8)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 1/4 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1/4) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(.f64 1/8 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 2) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 4) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8)) 16)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8))) 32)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 8)))) 64)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (atan.f64 N) -2)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (atan.f64 (+.f64 N 1)))
✓	0.2b	(+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))))
✓	0.3b	(+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))
✓	15.8b	(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
0.0ms	N	@	-inf	(-.f64 -3 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(-.f64 -3 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	inf	(-.f64 -3 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	-inf	(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))

rewrite150.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-simplify-35`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-3`
1258×	`exponential.json-3`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	106	112
2	205	110
3	414	110
4	889	110
5	1765	110
6	3041	94
7	4721	92
8	6094	90
9	7641	90

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
(+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)) (-.f64 1 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 4 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (-.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 (+.f64 -1 (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 2 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 -1 (-.f64 -3 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1 (atan.f64 (+.f64 N 1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2) (+.f64 1 (+.f64 1 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -2 (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 -1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 -1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 -1 (atan.f64 (+.f64 N 1))) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (atan.f64 N) 2) (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -4 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -3 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 -1 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2) (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2)) (+.f64 1 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 -3 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) 3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))))))

simplify384.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2354×	`rational.json-simplify-35`
1734×	`rational.json-simplify-2`
1526×	`rational.json-simplify-1`
724×	`rational.json-simplify-52`
606×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	259	5019
1	569	4353
2	1375	4353
3	2943	4347
4	3925	4341
5	5198	4341
6	5762	4341
7	6184	4341
8	6354	4341
9	6502	4341
10	6865	4341
11	7261	4341
12	7421	4341
13	7727	4341

Stop Event

1×	node limit

Counts

189 → 161

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (+.f64 1 (atan.f64 (+.f64 N 1))))
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(.f64 (.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2)
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Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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(-.f64 -1 (atan.f64 (+.f64 N 1)))
(*.f64 (/.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4) 4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1)))) 2)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
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(/.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 4) 4)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8) 8)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)) 16)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))) 32)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8)))) 64)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 8))))) 128)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(pow.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) 1)
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(neg.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(neg.f64 (+.f64 (+.f64 2 (atan.f64 (+.f64 N 1))) -1))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(neg.f64 (-.f64 (+.f64 -1 (atan.f64 (+.f64 N 1))) -2))
(neg.f64 (+.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 -1 (atan.f64 (+.f64 N 1)))
(-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 0)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1)))) 1)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (atan.f64 N) (-.f64 -2 (atan.f64 (+.f64 N 1)))) -1)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(*.f64 1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) 1/2)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(*.f64 4 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 1/4)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 1/2 (.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 1/2 (+.f64 (.f64 (atan.f64 N) 2) (*.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1))))))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1/2) 2)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 1/4 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4))
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(*.f64 (/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(.f64 (+.f64 (.f64 (atan.f64 N) 2) (*.f64 2 (-.f64 -1 (atan.f64 (+.f64 N 1))))) 1/2)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 2 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))) 2)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 4) 4)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8) 8)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)) 16)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))) 32)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8)))) 64)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 8))))) 128)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(pow.f64 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))) 1)
(+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 1 (-.f64 -4 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 0)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -1 (atan.f64 (+.f64 N 1))) -2)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 0 (-.f64 -3 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -2 (atan.f64 (+.f64 N 1))) -1)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 -2 (-.f64 -1 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2) (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2)) (+.f64 1 (*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2)))
(+.f64 1 (+.f64 (*.f64 1/2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) (-.f64 -1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))))
(+.f64 (*.f64 1/2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) (-.f64 0 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2)))
(-.f64 (*.f64 1/2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))
(*.f64 -1 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(*.f64 1 (-.f64 -3 (atan.f64 (+.f64 N 1))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) 1/2)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(*.f64 4 (/.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) -1)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 1/4)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(.f64 1/2 (.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1/2) 2)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(.f64 1/4 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4))
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(*.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2) -2)
(*.f64 -2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) 2))
(*.f64 (/.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 4)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1)))) 2)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3) -1)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 4) 4)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) 3)) -2)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8) 8)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)) -4)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8)) 16)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))) -8)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8))) 32)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (neg.f64 (*.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))) 4)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)))) -16)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8)))) 64)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3)))) 8)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 8))))) 128)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 4 (+.f64 (atan.f64 (+.f64 N 1)) 3))))) 16)
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))
(pow.f64 (-.f64 -3 (atan.f64 (+.f64 N 1))) 1)
(+.f64 -1 (-.f64 -2 (atan.f64 (+.f64 N 1))))
(-.f64 -3 (atan.f64 (+.f64 N 1)))
(neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) 3))

eval743.0ms (3.8%)

Compiler: Compiled 10755 to 8352 computations (22.3% saved)

prune507.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	485	2	487
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	486	6	492

Error

17.3b

Counts

492 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	17.4b	(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
✓	17.4b	(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
	17.4b	(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N)) 1/2)
✓	17.4b	(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)
	17.4b	(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)

Compiler

Compiled 103 to 82 computations (20.4% saved)

regimes362.0ms (1.9%)

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N)) 1/2)
(+.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2)))
(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) 2))
(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)
(+.f64 (+.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) -1) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (+.f64 (atan.f64 N) -3)) -1)) 2))

Outputs
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N)) 1/2)

Calls

2 calls:

356.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
17.4b	1	`N`
17.4b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 180 to 133 computations (26.1% saved)

regimes7.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))
(-.f64 -1 (+.f64 (atan.f64 N) (+.f64 2 (-.f64 -3 (atan.f64 (+.f64 N 1))))))
(*.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 2 (atan.f64 N))) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1/2)

Outputs
(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

Calls

2 calls:

4.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
17.4b	1	`N`
17.4b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 63 to 46 computations (27% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	119

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N)) 1/2)

(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs

(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) -1) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (atan.f64 N)) 1/2)

(-.f64 -1 (+.f64 (atan.f64 N) (-.f64 -1 (atan.f64 (+.f64 N 1)))))

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 42 to 33 computations (21.4% saved)

soundness0.0ms (0%)

end79.0ms (0.4%)

Compiler: Compiled 40 to 29 computations (27.5% saved)

Details

analyze0.0ms (0%)

sample13.0s (66.8%)

preprocess3.0ms (0%)

simplify9.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite110.0ms (0.6%)

simplify313.0ms (1.6%)

eval86.0ms (0.4%)

prune9.0ms (0%)

localize72.0ms (0.4%)

series2.0ms (0%)

rewrite101.0ms (0.5%)

simplify676.0ms (3.5%)

eval177.0ms (0.9%)

prune33.0ms (0.2%)

localize109.0ms (0.6%)

series2.0ms (0%)

rewrite152.0ms (0.8%)

simplify291.0ms (1.5%)

localize17.0ms (0.1%)

series2.0ms (0%)

rewrite145.0ms (0.7%)

simplify311.0ms (1.6%)

eval305.0ms (1.6%)

prune46.0ms (0.2%)

localize140.0ms (0.7%)

series2.0ms (0%)

rewrite123.0ms (0.6%)

simplify391.0ms (2%)

localize103.0ms (0.5%)

series1.0ms (0%)

rewrite117.0ms (0.6%)

simplify324.0ms (1.7%)

localize24.0ms (0.1%)

series1.0ms (0%)

rewrite150.0ms (0.8%)

simplify384.0ms (2%)

eval743.0ms (3.8%)

prune507.0ms (2.6%)

regimes362.0ms (1.9%)

regimes7.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end79.0ms (0.4%)

Profiling