Details

analyze1.0ms (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)

sample2.8s (35.7%)

Results

1.2s	2115×	body	2048	valid
898.0ms	4548×	body	256	valid
496.0ms	1053×	body	1024	valid
158.0ms	540×	body	512	valid

Bogosity

preprocess20.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	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)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	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

15.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize206.0ms (2.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
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	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite140.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best-simplify-55`
978×	`rational_best-simplify-66`
714×	`rational_best-simplify-57`
712×	`rational_best-simplify-49`
688×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	58	21
2	128	21
3	419	21
4	1612	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

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

Outputs

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

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

872×	`rational_best-simplify-75`
860×	`rational_best-simplify-66`
860×	`rational_best-simplify-1`
856×	`rational_best-simplify-47`
844×	`rational_best-simplify-58`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1308
1	249	1300
2	766	1300
3	3569	1108

Stop Event

1×	node limit

Counts

52 → 52

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

eval12.0ms (0.2%)

Compiler: Compiled 683 to 464 computations (32.1% saved)

prune6.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

15.2b

Counts

53 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	15.2b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize91.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 N) -3/2)
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	0.0b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (*.f64 (atan.f64 N) -3/2)))
✓	28.9b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))
1.0ms	N	@	inf	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))
1.0ms	N	@	0	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))
0.0ms	N	@	inf	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (*.f64 (atan.f64 N) -3/2)))
0.0ms	N	@	0	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (*.f64 (atan.f64 N) -3/2)))

rewrite258.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational_best-4`
1746×	`rational_best-2`
1746×	`rational_best-3`
1746×	`rational_best-1`
1746×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	112	130
2	237	122
3	828	80
4	4350	80

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

Inputs
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (atan.f64 N) -3/2)

Outputs
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simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-66`
1136×	`rational_best-simplify-58`
1088×	`rational_best-simplify-55`
1058×	`rational_best-simplify-3`
602×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	7527
1	946	6479
2	2566	4779

Stop Event

1×	node limit

Counts

215 → 188

Calls

Call 1

Inputs
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))
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(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (-.f64 1 (*.f64 -1 N))))))
(+.f64 (atan.f64 N) (+.f64 (.f64 -3/2 (atan.f64 N)) (+.f64 (.f64 -1/2 (atan.f64 N)) (atan.f64 (-.f64 1 (*.f64 -1 N))))))
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(+.f64 (atan.f64 N) (+.f64 (*.f64 -3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
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(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
(*.f64 -3/2 (atan.f64 N))
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(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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(-.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)))
(-.f64 (+.f64 (.f64 (atan.f64 N) -1/4) (.f64 (atan.f64 N) -1/2)) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) -1/4)))
(-.f64 (+.f64 (.f64 (atan.f64 N) -1/4) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (.f64 (atan.f64 N) 3/2) (*.f64 (atan.f64 N) -1/4)))
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Outputs
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(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (neg.f64 (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (-.f64 (*.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (.f64 2 (neg.f64 (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (.f64 2 (neg.f64 (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)))) (.f64 2 (neg.f64 (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))))) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) -4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (.f64 2 (.f64 (atan.f64 N) -3))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) -3)) (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -5/2)) -2) (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (atan.f64 N) -5/2) (atan.f64 (+.f64 N 1))) -2) (.f64 2 (.f64 (atan.f64 N) -3))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (.f64 2 (.f64 (atan.f64 N) 3))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(neg.f64 (-.f64 (*.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2))
(-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 N) (neg.f64 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 0 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 2 (neg.f64 (atan.f64 N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 2)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 N) 1/2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -1/2)) (.f64 (atan.f64 N) -1/2))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (+.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -1/2))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(*.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(*.f64 -1 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(*.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(.f64 (-.f64 (.f64 (atan.f64 N) -1/2) (*.f64 (atan.f64 (+.f64 N 1)) 1/2)) -2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) 4)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) 2) -2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (.f64 2 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 8)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) 2) (.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) 2)) -4)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 2 (.f64 (atan.f64 N) 2))) 4)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 2 (neg.f64 (atan.f64 N)))) -2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 2)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2))) 4)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (atan.f64 N))) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 2))) -2)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(neg.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (atan.f64 N) -3/2))
(*.f64 (atan.f64 N) -3/2)
(+.f64 (*.f64 (atan.f64 N) -3/2) 0)
(*.f64 (atan.f64 N) -3/2)
(+.f64 (.f64 (atan.f64 N) -3/4) (.f64 (atan.f64 N) -3/4))
(*.f64 (atan.f64 N) -3/2)
(+.f64 (.f64 (atan.f64 N) -3/4) (neg.f64 (.f64 (atan.f64 N) 3/4)))
(*.f64 (atan.f64 N) -3/2)
(+.f64 (.f64 (.f64 (atan.f64 N) -1/2) 3/2) (.f64 (.f64 (atan.f64 N) -1/2) 3/2))
(*.f64 (atan.f64 N) -3/2)
(+.f64 (.f64 (.f64 (atan.f64 N) 1/2) -3/2) (.f64 (.f64 (atan.f64 N) 1/2) -3/2))
(*.f64 (atan.f64 N) -3/2)
(+.f64 (.f64 (.f64 (atan.f64 N) 3/4) -1) (.f64 (.f64 (atan.f64 N) 3/4) -1))
(*.f64 (atan.f64 N) -3/2)
(-.f64 0 (*.f64 (atan.f64 N) 3/2))
(*.f64 (atan.f64 N) -3/2)
(-.f64 (*.f64 (atan.f64 N) -3/2) 0)
(*.f64 (atan.f64 N) -3/2)
(-.f64 (.f64 (atan.f64 N) -3/4) (.f64 (atan.f64 N) 3/4))
(*.f64 (atan.f64 N) -3/2)
(/.f64 (*.f64 (atan.f64 N) -3/2) 1)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (*.f64 (atan.f64 N) 3/2) -1)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (*.f64 (atan.f64 N) -3) 2)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (*.f64 (atan.f64 N) 3) -2)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (.f64 2 (.f64 (atan.f64 N) -3)) 4)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (.f64 2 (.f64 (atan.f64 N) 3)) -4)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) -3)) (.f64 2 (.f64 (atan.f64 N) -3))) 8)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (.f64 (.f64 2 (*.f64 (atan.f64 N) 2)) -3/2) 4)
(*.f64 (atan.f64 N) -3/2)
(/.f64 (.f64 (.f64 2 (*.f64 (atan.f64 N) 3)) -1) 4)
(*.f64 (atan.f64 N) -3/2)
(pow.f64 (*.f64 (atan.f64 N) -3/2) 1)
(*.f64 (atan.f64 N) -3/2)
(neg.f64 (*.f64 (atan.f64 N) 3/2))
(*.f64 (atan.f64 N) -3/2)

eval60.0ms (0.8%)

Compiler: Compiled 3974 to 2621 computations (34% saved)

prune25.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	185	5	190

Error

15.1b

Counts

190 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	15.2b	(+.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (*.f64 (atan.f64 N) -1/2))
▶	15.2b	(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
▶	15.2b	(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
▶	15.2b	(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize93.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (atan.f64 N) -3/2)
✓	0.0b	(-.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1)))
✓	0.1b	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))
✓	28.9b	(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 97 to 67 computations (30.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	0	(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	inf	(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	inf	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))
0.0ms	N	@	0	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))

rewrite148.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`rational_best-2`
1780×	`rational_best-3`
1780×	`rational_best-1`
1776×	`rational_best-4`
1772×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	151
1	120	151
2	256	141
3	893	97
4	4622	97

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational_best-simplify-47`
790×	`rational_best-simplify-3`
750×	`rational_best-simplify-66`
662×	`rational_best-simplify-58`
608×	`rational_best-simplify-77`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	7466
1	707	6514
2	1860	4620

Stop Event

1×	node limit

Counts

150 → 160

Calls

Call 1

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
✓	0.0b	(*.f64 (atan.f64 N) -5/2)
✓	0.0b	(+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))
✓	28.9b	(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
1.0ms	N	@	-inf	(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	inf	(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	-inf	(+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))
0.0ms	N	@	inf	(+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))

rewrite131.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational_best-2`
1366×	`rational_best-3`
1366×	`rational_best-1`
1360×	`rational_best-4`
1360×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	140
1	114	140
2	239	108
3	797	90
4	3713	90

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
(+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))
(*.f64 (atan.f64 N) -5/2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))

Outputs
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simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational_best-simplify-3`
934×	`rational_best-simplify-44`
756×	`rational_best-simplify-62`
700×	`rational_best-simplify-66`
636×	`rational_best-simplify-58`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6854
1	908	5690
2	2681	5376

Stop Event

1×	node limit

Counts

216 → 213

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 2 (atan.f64 N)) (*.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 2 (atan.f64 N)) (.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 2 (atan.f64 N)) (.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 2 (atan.f64 N)) (.f64 -5/2 (atan.f64 N)))))
(+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 2 (atan.f64 N)) (.f64 -5/2 (atan.f64 N)))))
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(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 -5/2 (atan.f64 N)) (.f64 2 (atan.f64 N))))
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(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 -5/2 (atan.f64 N)) (*.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 -5/2 (atan.f64 N)) (*.f64 2 (atan.f64 N))))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (+.f64 (.f64 -5/2 (atan.f64 N)) (*.f64 2 (atan.f64 N))))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(*.f64 -5/2 (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 2 (atan.f64 N)))
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(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 2 (atan.f64 N)))
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(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 2 (atan.f64 N)))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))
(+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))
(-.f64 (.f64 (atan.f64 N) -5/2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 3/2)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (neg.f64 (.f64 (atan.f64 N) -3)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -1/2)) (.f64 (atan.f64 N) 1/2))
(-.f64 (.f64 (atan.f64 N) -1/2) (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))) 0)
(-.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
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(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(.f64 (-.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(*.f64 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2)) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (*.f64 (atan.f64 (+.f64 N 1)) 2))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2)))) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2) (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2)) -4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (.f64 (.f64 (atan.f64 N) 2) 4) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (/.f64 (neg.f64 (atan.f64 N)) 1/4) (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 1/2)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2)))) (+.f64 (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 2 (+.f64 (.f64 (atan.f64 N) 4) (.f64 (atan.f64 (+.f64 N 1)) 2))))) 16)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2) (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2)) (+.f64 (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2) (/.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) 1/2))) -8)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (atan.f64 N) 2) 4) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (.f64 (.f64 (atan.f64 N) 2) 4) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2)))) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(/.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (atan.f64 N)) 1/4) (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 1/2)) (+.f64 (/.f64 (neg.f64 (atan.f64 N)) 1/4) (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 1/2))) -4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
(neg.f64 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -3/2)) (atan.f64 N))
	0.0b	(*.f64 (atan.f64 N) -3/2)
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -3/2))
✓	28.9b	(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))

Compiler

Compiled 60 to 37 computations (38.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite131.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`rational_best-2`
1130×	`rational_best-3`
1130×	`rational_best-1`
1124×	`rational_best-4`
1124×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	117
1	99	117
2	206	97
3	709	79
4	3277	75

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational_best-simplify-47`
866×	`rational_best-simplify-51`
782×	`rational_best-simplify-61`
770×	`rational_best-simplify-55`
746×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	7361
1	868	7057
2	2497	6933

Stop Event

1×	node limit

Counts

217 → 240

Calls

Call 1

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2))
	0.0b	(-.f64 (*.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1)))
✓	0.1b	(+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)))
✓	28.9b	(+.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 90 to 61 computations (32.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite152.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`rational_best-2`
1790×	`rational_best-3`
1790×	`rational_best-1`
1786×	`rational_best-4`
1782×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	120	161
2	256	161
3	894	107
4	4784	107

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational_best-simplify-66`
1128×	`rational_best-simplify-3`
1106×	`rational_best-simplify-58`
864×	`rational_best-simplify-55`
828×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	10901
1	862	10031
2	2387	6147

Stop Event

1×	node limit

Counts

173 → 208

Calls

Call 1

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

eval428.0ms (5.5%)

Compiler: Compiled 21658 to 14680 computations (32.2% saved)

prune169.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	895	8	903
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	899	9	908

Error

14.9b

Counts

908 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
	15.2b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (.f64 (atan.f64 N) -1/2))
	15.2b	(-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -3/4)))
▶	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
✓	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	29.2b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)) (.f64 (atan.f64 N) 5)) (*.f64 (atan.f64 N) -1/2))
▶	15.2b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 1/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
▶	15.2b	(+.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (.f64 (atan.f64 N) -1/2))
▶	29.2b	(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 302 to 218 computations (27.8% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

28.9b

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

Compiler

Compiled 60 to 37 computations (38.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-4`
1034×	`rational_best-2`
1034×	`rational_best-3`
1034×	`rational_best-1`
1034×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	117
1	98	117
2	200	117
3	661	75
4	2908	75

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 N) 1/2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 1/2)) (*.f64 (atan.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -1/2)) (*.f64 (atan.f64 N) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 N) -1/2) (-.f64 (*.f64 (atan.f64 N) 1/2) (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 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 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(atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))))))))

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

896×	`rational_best-simplify-47`
718×	`rational_best-simplify-49`
686×	`rational_best-simplify-51`
670×	`rational_best-simplify-62`
646×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	7233
1	695	5829
2	2003	4873

Stop Event

1×	node limit

Counts

177 → 178

Calls

Call 1

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 N) 7/4)
✓	0.0b	(*.f64 (atan.f64 N) 3/4)
✓	0.2b	(-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4))
✓	1.6b	(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
0.0ms	N	@	0	(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
0.0ms	N	@	inf	(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
0.0ms	N	@	0	(-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4))
0.0ms	N	@	inf	(-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4))

rewrite145.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational_best-4`
1304×	`rational_best-2`
1304×	`rational_best-3`
1304×	`rational_best-1`
1304×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	92	48
2	214	48
3	727	48
4	3279	48

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4))
(*.f64 (atan.f64 N) 3/4)
(*.f64 (atan.f64 N) 7/4)

Outputs
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(2) ((x neg.f64 (.f64 (atan.f64 N) -3/4))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (.f64 (atan.f64 N) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 7/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 N) 7/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 7/4 (.f64 (atan.f64 N) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 7/4 (.f64 (atan.f64 N) -3/4)) (.f64 7/4 (.f64 (atan.f64 N) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 7/8) (.f64 (atan.f64 N) 7/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 (atan.f64 N) 3/4)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 9/16)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/8)) (.f64 (atan.f64 N) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan.f64 N) 3/4) -7/4) (.f64 (.f64 (atan.f64 N) -7/4) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan.f64 N) -7/4) -7/4) (.f64 (.f64 (atan.f64 N) 3/4) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 N) (.f64 (atan.f64 N) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 N) 7/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 N) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 (atan.f64 N) 21/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 7/4 (.f64 (atan.f64 N) -3/4)) (.f64 7/4 (.f64 (atan.f64 N) -7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 N) 7/8) (/.f64 (.f64 (atan.f64 N) -7/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 (atan.f64 N) 3/4)) (.f64 (atan.f64 N) 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 9/16)) (.f64 (atan.f64 N) 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (atan.f64 N) 3/4) -7/4) (.f64 (.f64 (atan.f64 N) 7/4) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 N) 7/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 N) 7/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 N) -7/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 7/4 (.f64 2 (.f64 (atan.f64 N) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 7/4 (.f64 (atan.f64 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2))) (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2)) (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 7/4 (.f64 2 (.f64 (atan.f64 N) 2))) (.f64 7/4 (.f64 2 (.f64 (atan.f64 N) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 7/4 (.f64 (atan.f64 N) -2)) (.f64 7/4 (.f64 (atan.f64 N) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 N) 7/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 N) -7/4))))))

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational_best-simplify-75`
716×	`rational_best-simplify-49`
716×	`rational_best-simplify-77`
694×	`rational_best-simplify-51`
620×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	6606
1	742	5126
2	2146	3830

Stop Event

1×	node limit

Counts

230 → 223

Calls

Call 1

Inputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 3/4 (atan.f64 N))) (.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 3/4 (atan.f64 N))) (*.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 3/4 (atan.f64 N))) (*.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 3/4 (atan.f64 N))) (*.f64 7/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 3/4 (atan.f64 N))) (*.f64 7/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(-.f64 (.f64 7/4 (atan.f64 N)) (.f64 3/4 (atan.f64 N)))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 3/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
(*.f64 7/4 (atan.f64 N))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (atan.f64 N)))
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(+.f64 (+.f64 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (+.f64 (.f64 (atan.f64 N) -7/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/4)) (.f64 (atan.f64 N) 21/16)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))
(+.f64 (/.f64 (neg.f64 (atan.f64 N)) 2) (/.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) 2))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 1/2)) (/.f64 (atan.f64 N) -2))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/4)) (.f64 (atan.f64 N) 3/8)) (+.f64 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 N) 3/8)))
(+.f64 (-.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (neg.f64 (.f64 (atan.f64 N) 7/8)) (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) (*.f64 (atan.f64 N) 7/8)))
(+.f64 (/.f64 (atan.f64 N) -2) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 1/2)))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) (.f64 7/4 (.f64 (atan.f64 N) 7/4))) (.f64 (atan.f64 N) 21/16))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) (.f64 (atan.f64 N) 7/8)) (neg.f64 (*.f64 (atan.f64 N) 7/8)))
(+.f64 (/.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) 2) (/.f64 (neg.f64 (atan.f64 N)) 2))
(+.f64 (+.f64 (.f64 (atan.f64 N) 3/4) (-.f64 (.f64 (atan.f64 N) 7/4) (atan.f64 (+.f64 N 1)))) (.f64 (-.f64 (.f64 (atan.f64 N) 7/4) (atan.f64 (+.f64 N 1))) -2))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (atan.f64 N) -2))
(+.f64 (+.f64 (.f64 (atan.f64 N) -7/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (+.f64 (.f64 (atan.f64 N) 3/4) (.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 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(.f64 2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
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(-.f64 (.f64 (.f64 (atan.f64 N) 3/4) -3/4) (.f64 (.f64 (atan.f64 N) 7/4) -3/4))
(*.f64 3/4 (atan.f64 N))
(/.f64 (*.f64 (atan.f64 N) 3/4) 1)
(*.f64 3/4 (atan.f64 N))
(/.f64 (*.f64 (atan.f64 N) 3/2) 2)
(*.f64 3/4 (atan.f64 N))
(/.f64 (*.f64 (atan.f64 N) -3/4) -1)
(*.f64 3/4 (atan.f64 N))
(/.f64 (.f64 2 (.f64 (atan.f64 N) 3/2)) 4)
(*.f64 3/4 (atan.f64 N))
(/.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) -2)
(*.f64 3/4 (atan.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 3/2)) (.f64 2 (.f64 (atan.f64 N) 3/2))) 8)
(*.f64 3/4 (atan.f64 N))
(/.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 3/2)) -4)
(*.f64 3/4 (atan.f64 N))
(/.f64 (.f64 3/4 (.f64 2 (*.f64 (atan.f64 N) 2))) 4)
(*.f64 3/4 (atan.f64 N))
(/.f64 (.f64 3/4 (.f64 (atan.f64 N) -2)) -2)
(*.f64 3/4 (atan.f64 N))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 3/2)) (.f64 2 (.f64 (atan.f64 N) 3/2))) (+.f64 (.f64 2 (.f64 (atan.f64 N) 3/2)) (.f64 2 (.f64 (atan.f64 N) 3/2)))) 16)
(*.f64 3/4 (atan.f64 N))
(/.f64 (+.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 3/2)) (-.f64 (neg.f64 (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 3/2))) -8)
(*.f64 3/4 (atan.f64 N))
(/.f64 (+.f64 (.f64 3/4 (.f64 2 (.f64 (atan.f64 N) 2))) (.f64 3/4 (.f64 2 (.f64 (atan.f64 N) 2)))) 8)
(*.f64 3/4 (atan.f64 N))
(/.f64 (+.f64 (.f64 3/4 (.f64 (atan.f64 N) -2)) (.f64 3/4 (.f64 (atan.f64 N) -2))) -4)
(*.f64 3/4 (atan.f64 N))
(pow.f64 (*.f64 (atan.f64 N) 3/4) 1)
(*.f64 3/4 (atan.f64 N))
(neg.f64 (*.f64 (atan.f64 N) -3/4))
(*.f64 3/4 (atan.f64 N))
(+.f64 (atan.f64 N) (*.f64 (atan.f64 N) 3/4))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (*.f64 (atan.f64 N) 7/4) 0)
(*.f64 (atan.f64 N) 7/4)
(+.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 N))
(*.f64 (atan.f64 N) 7/4)
(+.f64 0 (*.f64 (atan.f64 N) 7/4))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 7/4 (.f64 (atan.f64 N) -3/4)))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (.f64 7/4 (.f64 (atan.f64 N) -3/4)) (.f64 7/4 (.f64 (atan.f64 N) 7/4)))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (.f64 (atan.f64 N) 7/8) (.f64 (atan.f64 N) 7/8))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 (atan.f64 N) 3/4)) (.f64 3/4 (*.f64 (atan.f64 N) -3/4)))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (+.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 9/16)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))
(+.f64 (.f64 3/4 (.f64 (atan.f64 N) -3/4)) (+.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 9/16)))
(+.f64 (.f64 (atan.f64 N) -9/16) (.f64 (atan.f64 N) 37/16))
(+.f64 (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/8)) (*.f64 (atan.f64 N) 3/8))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (.f64 (.f64 (atan.f64 N) 3/4) -7/4) (.f64 (.f64 (atan.f64 N) -7/4) -7/4))
(*.f64 (atan.f64 N) 7/4)
(+.f64 (.f64 (.f64 (atan.f64 N) -7/4) -7/4) (.f64 (.f64 (atan.f64 N) 3/4) -7/4))
(*.f64 (atan.f64 N) 7/4)
(-.f64 (atan.f64 N) (*.f64 (atan.f64 N) -3/4))
(*.f64 (atan.f64 N) 7/4)
(-.f64 (*.f64 (atan.f64 N) 7/4) 0)
(*.f64 (atan.f64 N) 7/4)
(-.f64 0 (*.f64 (atan.f64 N) -7/4))
(*.f64 (atan.f64 N) 7/4)
(-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (*.f64 (atan.f64 N) 21/16))
(-.f64 (.f64 (atan.f64 N) 49/16) (.f64 (atan.f64 N) 21/16))
(-.f64 (.f64 7/4 (.f64 (atan.f64 N) -3/4)) (.f64 7/4 (.f64 (atan.f64 N) -7/4)))
(*.f64 (atan.f64 N) 7/4)
(-.f64 (.f64 (atan.f64 N) 7/8) (/.f64 (.f64 (atan.f64 N) -7/4) 2))
(*.f64 (atan.f64 N) 7/4)
(-.f64 (-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (.f64 (atan.f64 N) 3/4)) (.f64 (atan.f64 N) 9/16))
(-.f64 (.f64 7/4 (.f64 (atan.f64 N) 7/4)) (*.f64 (atan.f64 N) 21/16))
(-.f64 (.f64 (atan.f64 N) 49/16) (.f64 (atan.f64 N) 21/16))
(-.f64 (+.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 9/16)) (*.f64 (atan.f64 N) 9/16))
(-.f64 (.f64 (atan.f64 N) 37/16) (.f64 (atan.f64 N) 9/16))
(-.f64 (.f64 (.f64 (atan.f64 N) 3/4) -7/4) (.f64 (.f64 (atan.f64 N) 7/4) -7/4))
(*.f64 (atan.f64 N) 7/4)
(/.f64 (*.f64 (atan.f64 N) 7/4) 1)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (*.f64 (atan.f64 N) 7/2) 2)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (*.f64 (atan.f64 N) -7/4) -1)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) 4)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (neg.f64 (*.f64 (atan.f64 N) 7/2)) -2)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2))) 8)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2)) -4)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (.f64 7/4 (.f64 2 (*.f64 (atan.f64 N) 2))) 4)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (.f64 7/4 (.f64 (atan.f64 N) -2)) -2)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2))) (+.f64 (.f64 2 (.f64 (atan.f64 N) 7/2)) (.f64 2 (.f64 (atan.f64 N) 7/2)))) 16)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (+.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2)) (-.f64 (neg.f64 (.f64 (atan.f64 N) 7/2)) (.f64 (atan.f64 N) 7/2))) -8)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (+.f64 (.f64 7/4 (.f64 2 (.f64 (atan.f64 N) 2))) (.f64 7/4 (.f64 2 (.f64 (atan.f64 N) 2)))) 8)
(*.f64 (atan.f64 N) 7/4)
(/.f64 (+.f64 (.f64 7/4 (.f64 (atan.f64 N) -2)) (.f64 7/4 (.f64 (atan.f64 N) -2))) -4)
(*.f64 (atan.f64 N) 7/4)
(pow.f64 (*.f64 (atan.f64 N) 7/4) 1)
(*.f64 (atan.f64 N) 7/4)
(neg.f64 (*.f64 (atan.f64 N) -7/4))
(*.f64 (atan.f64 N) 7/4)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 N) 3/2)
✓	0.0b	(*.f64 (atan.f64 N) 5/2)
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/2))
✓	28.7b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
1.0ms	N	@	inf	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/2))
0.0ms	N	@	-inf	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
0.0ms	N	@	inf	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
0.0ms	N	@	-inf	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/2))

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational_best-simplify-65`
910×	`rational_best-4`
910×	`rational_best-2`
910×	`rational_best-3`
910×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	91	92
2	189	92
3	608	70
4	2512	70

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

Inputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/2))
(*.f64 (atan.f64 N) 5/2)
(*.f64 (atan.f64 N) 3/2)

Outputs
((#(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 N) 3/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) -5/2))))) (#(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 (+.f64 (.f64 (atan.f64 N) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -5/2)))))) (#(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 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -5) (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2)))))) (#(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 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -5/2)) (.f64 (atan.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 (.f64 (atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (atan.f64 N) -5/2) 2) (/.f64 (neg.f64 (-.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/4)) (neg.f64 (.f64 (atan.f64 N) 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (atan.f64 N) 5/4)) (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (-.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) 2)))) 2) (/.f64 (.f64 (atan.f64 N) -5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -5/2)) (+.f64 (.f64 (atan.f64 N) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2)) (.f64 (atan.f64 N) -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 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(atan.f64 N) 3/4) (.f64 (atan.f64 (+.f64 N 1)) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 2) -2)))) (#(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)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (atan.f64 N) 1/2) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (/.f64 (atan.f64 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) -2) (neg.f64 (.f64 (atan.f64 N) 5/4))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/2) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (atan.f64 N) 3/4) (-.f64 (-.f64 (.f64 (atan.f64 N) 5/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 5/4)) (+.f64 (.f64 (atan.f64 N) -3/2) (.f64 (atan.f64 N) 5/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 N) 5/4)) (-.f64 (.f64 (atan.f64 N) 5/4) (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (atan.f64 N) -5) (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -5/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 (.f64 (atan.f64 N) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))) 1)))) 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/.f64 (.f64 (.f64 (atan.f64 N) 6) -1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (atan.f64 N) 4) -3/2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (atan.f64 N) -2) -2) 3/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (atan.f64 N) -2) 3/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (atan.f64 N) 6)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (atan.f64 N) -3/2) 2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (atan.f64 N) 4)) -3/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (neg.f64 (atan.f64 N)) 2) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 N) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan.f64 N) -3/2))))))

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1294×	`rational_best-simplify-55`
1256×	`rational_best-simplify-58`
1182×	`rational_best-simplify-1`
976×	`rational_best-simplify-44`
818×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	6757
1	1117	6701
2	3470	5331

Stop Event

1×	node limit

Counts

249 → 239

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 5/2 (atan.f64 N)))
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(-.f64 (+.f64 (.f64 3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 5/2 (atan.f64 N)))
(-.f64 (+.f64 (.f64 3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 5/2 (atan.f64 N)))
(-.f64 (+.f64 (.f64 3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 5/2 (atan.f64 N)))
(-.f64 (+.f64 (.f64 3/2 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 5/2 (atan.f64 N)))
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(*.f64 5/2 (atan.f64 N))
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(pow.f64 (*.f64 (atan.f64 N) 3/2) 1)
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localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))

✓

0.0b

(-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1))))

✓

28.9b

(+.f64 (-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (.f64 (atan.f64 N) -1/2))
1.0ms	N	@	inf	(+.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (.f64 (atan.f64 N) -1/2))
1.0ms	N	@	0	(+.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (.f64 (atan.f64 N) -1/2))
0.0ms	N	@	-inf	(-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1))))
0.0ms	N	@	inf	(-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1))))

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`rational_best-4`
1178×	`rational_best-2`
1178×	`rational_best-3`
1178×	`rational_best-1`
1178×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	129
1	115	129
2	264	129
3	941	75
4	4263	75

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

(+.f64 (-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (*.f64 (atan.f64 N) -1/2))

(-.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1))))

(-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 N) 1/4) (atan.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (atan.f64 N) 1/4) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) 1/2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) 1/4) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) 1/8) (-.f64 (*.f64 (atan.f64 N) 1/8) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 1/2) (-.f64 (*.f64 (atan.f64 N) 1/4) (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 N) 1/8) (*.f64 (atan.f64 (+.f64 N 1)) 1/2)) (-.f64 (*.f64 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simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational_best-simplify-47`
668×	`rational_best-simplify-77`
600×	`rational_best-simplify-61`
594×	`rational_best-simplify-51`
534×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	7725
1	644	6789
2	1756	4583

Stop Event

1×	node limit

Counts

175 → 155

Calls

Call 1

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

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))
✓	0.5b	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
✓	1.5b	(-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2))
✓	29.2b	(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))

Compiler

Compiled 115 to 79 computations (31.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))
1.0ms	N	@	0	(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))
1.0ms	N	@	inf	(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))
0.0ms	N	@	-inf	(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
0.0ms	N	@	-inf	(-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2))

rewrite246.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`rational_best-simplify-47`
588×	`rational_best-simplify-66`
556×	`rational_best-simplify-76`
532×	`rational_best-simplify-1`
516×	`rational_best-simplify-82`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	181
1	139	181
2	337	173
3	1343	75
4	7700	75

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))

(-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) -1/2))

(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))

Outputs

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simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational_best-simplify-3`
1126×	`rational_best-simplify-55`
814×	`rational_best-simplify-61`
648×	`rational_best-simplify-51`
624×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	10061
1	1145	8719
2	3387	8511

Stop Event

1×	node limit

Counts

217 → 270

Calls

Call 1

Inputs
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))) (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))) (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))) (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (-.f64 1 (.f64 -1 N))) (.f64 2 (atan.f64 N)))) (atan.f64 (-.f64 1 (.f64 -1 N))))))
(.f64 -1 (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
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(.f64 -1 (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
(.f64 -1 (+.f64 (.f64 9/2 (atan.f64 N)) (+.f64 (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (atan.f64 (+.f64 N 1)))))
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(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 4)) (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)) (.f64 (atan.f64 N) -1/2)))
(-.f64 (-.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 N) 1/2)))
(-.f64 (-.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 N) -1/2)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -9/2)) (-.f64 (.f64 (atan.f64 N) -4) (*.f64 (atan.f64 N) -1/2)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -9/2)) (+.f64 (.f64 (atan.f64 N) -4) (*.f64 (atan.f64 N) 1/2)))
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(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 N) 1/2)) (*.f64 (atan.f64 N) 1/2)))
(-.f64 (.f64 (atan.f64 N) -9/2) (-.f64 (-.f64 (.f64 (atan.f64 N) -4) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) -1/2)))
(-.f64 (.f64 (atan.f64 N) -9/2) (+.f64 (-.f64 (.f64 (atan.f64 N) -4) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 1/2)))
(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -1/2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 N) -4)))
(-.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) -2)) (+.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2)))
(-.f64 (+.f64 (.f64 (atan.f64 N) -1/2) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 1/2)))
(-.f64 (.f64 (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1/2) (-.f64 (.f64 (atan.f64 N) 1/2) (.f64 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1/2)))
(-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) -1/4)))
(-.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 (atan.f64 N) -1/4) (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1)))) (neg.f64 (*.f64 (atan.f64 N) -1/4)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1/2) (.f64 (atan.f64 N) -1/2)) (neg.f64 (.f64 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1/2)))
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(.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) -1)
(.f64 2 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (*.f64 (atan.f64 N) 9/4)))
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(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 9)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2))) 4)
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Outputs
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(-.f64 (.f64 (atan.f64 N) -5) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)))))
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(-.f64 (.f64 (atan.f64 N) -9/2) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))))
(.f64 -2 (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 N) 9/4)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))
(.f64 2 (+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) 9/4)) (.f64 (atan.f64 (+.f64 N 1)) -1/2)))
(-.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2)))
(.f64 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1)))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(.f64 (.f64 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1/2) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(.f64 (-.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 N) 9/4))) -2)
(.f64 -2 (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 N) 9/4)) (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 -2 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -9/2)))
(-.f64 (.f64 (atan.f64 N) -9/2) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))))
(.f64 (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 N) 9/4)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) -2)
(.f64 -2 (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 N) 9/4)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))
(.f64 2 (+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) 9/4)) (.f64 (atan.f64 (+.f64 N 1)) -1/2)))
(-.f64 (.f64 2 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2)))
(/.f64 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (.f64 2 (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1)))) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (-.f64 (*.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (.f64 2 (.f64 2 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))))) (.f64 2 (.f64 2 (+.f64 (.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1)))))) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))))) -4)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9))) (.f64 2 (neg.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) -1/4)))) -4)
(-.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) (.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) 1/4) -1/2))
(-.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9)) -2) (.f64 2 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) -1/4))) 4)
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9))) (.f64 2 (neg.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) -1/4)))) -4)
(-.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) (.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)) 1/4) -1/2))
(-.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) (.f64 -2 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2))))
(pow.f64 (+.f64 (*.f64 (atan.f64 N) -1/2) (atan.f64 (+.f64 N 1))) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(neg.f64 (-.f64 (*.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 N) -9/2) (.f64 (atan.f64 N) 4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 -1/2 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -9/2))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (*.f64 (atan.f64 N) 9/2) (neg.f64 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2)) 0)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 0 (-.f64 (*.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -9/2)) (.f64 (atan.f64 N) -9))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (-.f64 (.f64 (atan.f64 N) -9/2) (*.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9)) -2))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 N) 9/4)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 N) 9/4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (.f64 (atan.f64 N) 9/4) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 9/4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (.f64 (atan.f64 N) 9/4) (/.f64 (+.f64 (.f64 (atan.f64 N) 9/2) (*.f64 (atan.f64 (+.f64 N 1)) 2)) -2))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (-.f64 (.f64 (atan.f64 N) 9/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -2))
(-.f64 (.f64 (atan.f64 N) 9/2) (+.f64 (.f64 -2 (atan.f64 (+.f64 N 1))) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 (atan.f64 N) 9/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -2 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 (atan.f64 N) 9/4) (atan.f64 (+.f64 N 1))) (neg.f64 (.f64 (atan.f64 N) 9/4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (.f64 (atan.f64 N) 9/2)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 1/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 2 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (*.f64 (atan.f64 N) 9/4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 -1/2 (-.f64 (.f64 (atan.f64 N) -9) (*.f64 (atan.f64 (+.f64 N 1)) 2)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 -1 (-.f64 (.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) -9)) 1/2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 -2 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 N) 9/4)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (-.f64 (.f64 (atan.f64 N) -9) (*.f64 (atan.f64 (+.f64 N 1)) 2)) -1/2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 1/2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) -9)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 N) 9/4)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (*.f64 (atan.f64 N) 9/4)) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (-.f64 (*.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))) -1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9)) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (-.f64 (.f64 (atan.f64 N) -9) (.f64 (atan.f64 (+.f64 N 1)) 2)) -2)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) -9))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) -9)) -2) -4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9))) (.f64 2 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -9)))) 8)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 N) 9)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(/.f64 (+.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 2 (.f64 (atan.f64 N) 9))) 4)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(pow.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2)) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))
(neg.f64 (-.f64 (*.f64 (atan.f64 N) -9/2) (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 9/2))

eval372.0ms (4.7%)

Compiler: Compiled 24136 to 16668 computations (30.9% saved)

prune188.0ms (2.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1105	5	1110
Fresh	1	2	3
Picked	1	0	1
Done	2	3	5
Total	1109	10	1119

Error

14.9b

Counts

1119 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	15.2b	(-.f64 (+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N)))) (*.f64 1/4 (atan.f64 N)))
✓	15.3b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
	15.2b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))
	15.2b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (.f64 (atan.f64 N) -1/2))
✓	15.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	29.2b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)) (.f64 (atan.f64 N) 5)) (*.f64 (atan.f64 N) -1/2))
✓	15.2b	(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 1/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
	29.2b	(+.f64 (+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 4)) (.f64 (atan.f64 N) 9/4)) (neg.f64 (.f64 (atan.f64 N) 9/4))) (.f64 (atan.f64 N) -1/2))
	29.1b	(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/4)) (.f64 (atan.f64 N) 21/16)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))
	29.1b	(+.f64 (.f64 (atan.f64 N) 3/8) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 11/8)))

Compiler

Compiled 174 to 124 computations (28.7% saved)

regimes18.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 N) 3/8) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 11/8)))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
(-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -3/4)))
(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 1/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
(+.f64 (+.f64 (.f64 (atan.f64 N) -5/2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (*.f64 (atan.f64 N) -1/2))
(+.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (/.f64 (atan.f64 N) 4) (atan.f64 (+.f64 N 1)))) (.f64 (atan.f64 N) -1/2))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 0 (.f64 (atan.f64 N) -3/2))) (.f64 (atan.f64 N) -1/2))
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2)) (.f64 (atan.f64 N) 5)) (*.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N)))) (*.f64 1/4 (atan.f64 N)))
(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/4)) (.f64 (atan.f64 N) 21/16)) (.f64 3/4 (.f64 (atan.f64 N) -3/4)))
(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))))) (*.f64 (atan.f64 N) -1/2))
(+.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (*.f64 (atan.f64 N) -1/2))
(+.f64 (+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 4)) (.f64 (atan.f64 N) 9/4)) (neg.f64 (.f64 (atan.f64 N) 9/4))) (.f64 (atan.f64 N) -1/2))
(+.f64 (-.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 9/2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) -1/2)) (*.f64 (atan.f64 N) -1/2))

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

Calls

2 calls:

9.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
15.2b	1	`N`
15.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 353 to 229 computations (35.1% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 N) 3/8) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 11/8)))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 N) 5/2))
(-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -3/4)))
(+.f64 (+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))

Outputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
15.2b	1	`N`
15.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 120 to 78 computations (35% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 N) 3/8) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 11/8)))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/2)) (.f64 (atan.f64 N) -1/2))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
15.2b	1	`N`
15.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -14.0b remaining (-92.2%)

Threshold costs -14.0b (-92.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 N) 3/8) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 11/8)))

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

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
15.2b	1	`N`
15.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 1/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(+.f64 (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 1/2)) (atan.f64 N)) (.f64 (atan.f64 N) -1/2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -3/4)) (.f64 (atan.f64 N) 1/4))
(-.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 N) 7/4) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 56 to 40 computations (28.6% saved)

soundness0.0ms (0%)

end30.0ms (0.4%)

Compiler: Compiled 53 to 34 computations (35.8% saved)

Details

analyze1.0ms (0%)

sample2.8s (35.7%)

preprocess20.0ms (0.3%)

simplify17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize206.0ms (2.6%)

series0.0ms (0%)

rewrite140.0ms (1.8%)

simplify117.0ms (1.5%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

localize91.0ms (1.2%)

series3.0ms (0%)

rewrite258.0ms (3.3%)

simplify143.0ms (1.8%)

eval60.0ms (0.8%)

prune25.0ms (0.3%)

localize93.0ms (1.2%)

series2.0ms (0%)

rewrite148.0ms (1.9%)

simplify109.0ms (1.4%)

localize28.0ms (0.4%)

series3.0ms (0%)

rewrite131.0ms (1.7%)

simplify117.0ms (1.5%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite131.0ms (1.7%)

simplify123.0ms (1.6%)

localize35.0ms (0.4%)

series2.0ms (0%)

rewrite152.0ms (1.9%)

simplify133.0ms (1.7%)

eval428.0ms (5.5%)

prune169.0ms (2.2%)

localize23.0ms (0.3%)

series2.0ms (0%)

rewrite116.0ms (1.5%)

simplify116.0ms (1.5%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite145.0ms (1.8%)

simplify114.0ms (1.4%)

localize17.0ms (0.2%)

series4.0ms (0%)

rewrite99.0ms (1.3%)

simplify129.0ms (1.6%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite124.0ms (1.6%)

simplify107.0ms (1.4%)

localize41.0ms (0.5%)

series3.0ms (0%)

rewrite246.0ms (3.1%)

simplify156.0ms (2%)

eval372.0ms (4.7%)

prune188.0ms (2.4%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end30.0ms (0.4%)

Profiling