Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.3s (23.2%)

Results

4.7s	2113×	body	2048	valid
2.9s	4617×	body	256	valid
2.3s	1029×	body	1024	valid
253.0ms	497×	body	512	valid

Bogosity

preprocess32.0ms (0.1%)

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)

simplify214.0ms (0.5%)

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))

eval1.0ms (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

14.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize48.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	1.1b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite384.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-simplify-108`
752×	`rational_best-simplify-83`
698×	`rational_best-simplify-47`
550×	`rational_best-simplify-57`
524×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	58	32
2	110	32
3	275	32
4	1038	32
5	6857	32

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

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

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

simplify390.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

834×	`rational_best-simplify-65`
798×	`rational_best-simplify-48`
726×	`rational_best-simplify-50`
720×	`rational_best-simplify-52`
562×	`rational_best-simplify-57`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	2457
1	524	2205
2	1472	2205

Stop Event

1×	node limit

Counts

121 → 127

Calls

Call 1

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

eval172.0ms (0.4%)

Compiler: Compiled 1995 to 1401 computations (29.8% saved)

prune72.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	5	128

Error

14.1b

Counts

128 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
✓	14.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	14.2b	(+.f64 (-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))) (-.f64 1 (atan.f64 N)))
▶	14.2b	(+.f64 (-.f64 -1 (atan.f64 N)) (-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1)))))
▶	14.1b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 2))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

localize141.0ms (0.3%)

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 (+.f64 N 1)) (/.f64 (atan.f64 N) -2))
✓	1.5b	(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 2)))
✓	30.6b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 2))))

Compiler

Compiled 78 to 53 computations (32.1% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite472.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`rational_best-1`
1874×	`rational_best-4`
1874×	`rational_best-2`
1874×	`rational_best-3`
674×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	172
1	113	116
2	259	86
3	846	86
4	4831	86

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

simplify838.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

924×	`rational_best-simplify-66`
916×	`rational_best-simplify-64`
750×	`rational_best-simplify-57`
718×	`rational_best-simplify-51`
572×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	10662
1	1475	9072
2	4754	8720

Stop Event

1×	node limit

Counts

336 → 355

Calls

Call 1

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

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.3b	(-.f64 -1 (atan.f64 N))
✓	0.3b	(-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1))))
✓	1.1b	(+.f64 (-.f64 -1 (atan.f64 N)) (-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1)))))

Compiler

Compiled 41 to 30 computations (26.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite395.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational_best-simplify-56`
948×	`rational_best-simplify-75`
904×	`rational_best-simplify-76`
870×	`rational_best-4`
870×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	85	61
2	160	61
3	461	49
4	2101	49

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

simplify530.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1188×	`rational_best-simplify-3`
1108×	`rational_best-simplify-56`
728×	`rational_best-simplify-65`
704×	`rational_best-simplify-67`
684×	`rational_best-simplify-75`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	5043
1	990	4751
2	2821	4591

Stop Event

1×	node limit

Counts

209 → 211

Calls

Call 1

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

localize112.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.2b	(-.f64 1 (atan.f64 N))
✓	0.7b	(-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
✓	1.1b	(+.f64 (-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))) (-.f64 1 (atan.f64 N)))

Compiler

Compiled 41 to 30 computations (26.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite430.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-simplify-75`
932×	`rational_best-simplify-56`
904×	`rational_best-simplify-76`
870×	`rational_best-4`
870×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	85	61
2	160	61
3	461	49
4	2116	49

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

simplify501.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational_best-simplify-3`
1070×	`rational_best-simplify-56`
792×	`rational_best-simplify-65`
744×	`rational_best-simplify-75`
708×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	5347
1	982	5089
2	2766	4945

Stop Event

1×	node limit

Counts

197 → 222

Calls

Call 1

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

localize121.0ms (0.3%)

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) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))
✓	0.0b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))
✓	30.6b	(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))

Compiler

Compiled 85 to 59 computations (30.6% saved)

series30.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	N	@	inf	(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
2.0ms	N	@	-inf	(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
1.0ms	N	@	0	(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))
0.0ms	N	@	0	(-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))

rewrite417.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`rational_best-simplify-51`
956×	`rational_best-simplify-57`
894×	`rational_best-simplify-47`
594×	`rational_best-simplify-83`
568×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	182
1	116	182
2	277	142
3	1051	86

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

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

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

simplify982.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1546×	`rational_best-simplify-75`
1068×	`rational_best-simplify-56`
984×	`rational_best-simplify-67`
716×	`rational_best-simplify-64`
592×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	13777
1	1307	9361
2	3616	8899

Stop Event

1×	node limit

Counts

323 → 394

Calls

Call 1

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

eval3.2s (7.3%)

Compiler: Compiled 27951 to 20252 computations (27.5% saved)

prune1.3s (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1276	10	1286
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	1280	11	1291

Error

14.1b

Counts

1291 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
	14.2b	(-.f64 (-.f64 (+.f64 (.f64 (atan.f64 N) -1/2) -1) (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) -1)
▶	14.2b	(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
	14.2b	(-.f64 (-.f64 -1 (atan.f64 N)) (-.f64 -1 (atan.f64 (+.f64 N 1))))
	14.2b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
✓	14.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	14.1b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))
	14.2b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3/2) (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 4))))
▶	14.2b	(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))
	14.2b	(+.f64 (atan.f64 N) (+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -1/2))))
▶	14.2b	(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))

Compiler

Compiled 392 to 316 computations (19.4% saved)

localize273.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))
✓	0.0b	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2))
✓	0.0b	(+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2))))
✓	30.6b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))

Compiler

Compiled 143 to 104 computations (27.3% saved)

series20.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	N	@	inf	(-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))
2.0ms	N	@	-inf	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))
2.0ms	N	@	inf	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))
2.0ms	N	@	0	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))
0.0ms	N	@	inf	(+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2))))

rewrite864.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`rational_best-simplify-47`
752×	`rational_best-simplify-83`
656×	`rational_best-simplify-52`
648×	`rational_best-simplify-64`
616×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	300
1	143	300
2	315	272
3	1132	180
4	7894	180

Stop Event

1×	node limit

Counts

4 → 339

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) (neg.f64 (-.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 N) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (+.f64 (.f64 (atan.f64 N) 1/2) (-.f64 (.f64 (atan.f64 N) 3/2) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -3/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 N) 1/2) (+.f64 (-.f64 (.f64 (atan.f64 N) 3/2) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -3/4))) (/.f64 (atan.f64 (+.f64 N 1)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 N) 1/2) (+.f64 (+.f64 (-.f64 (.f64 (atan.f64 N) 3/2) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -3/4))) (/.f64 (atan.f64 (+.f64 N 1)) -4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 N) 1/2) (neg.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/2) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) (.f64 (atan.f64 N) 1/2)) (-.f64 (.f64 (atan.f64 N) 3/2) (-.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) (.f64 (atan.f64 N) 1/2)) (+.f64 (-.f64 (-.f64 (.f64 4 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) -2))) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (/.f64 (atan.f64 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 0 (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 (+.f64 N 1)) -3/4)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (/.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 0 (.f64 (atan.f64 N) 3/2)) (.f64 (atan.f64 (+.f64 N 1)) -3/4)) (+.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (/.f64 (atan.f64 N) -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 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simplify1.3s (2.9%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational_best-simplify-57`
842×	`rational_best-simplify-3`
792×	`rational_best-simplify-51`
770×	`rational_best-simplify-52`
764×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	29505
1	2055	28167
2	5841	23985

Stop Event

1×	node limit

Counts

387 → 656

Calls

Call 1

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

localize80.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
	1.1b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	1.2b	(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))

Compiler

Compiled 41 to 28 computations (31.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite326.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational_best-simplify-75`
1198×	`rational_best-simplify-76`
872×	`rational_best-simplify-3`
842×	`rational_best-4`
842×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	86	21
2	157	21
3	393	21
4	1964	21

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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simplify336.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-75`
1294×	`rational_best-simplify-65`
1060×	`rational_best-simplify-52`
1056×	`rational_best-simplify-48`
714×	`rational_best-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	2994
1	964	2928
2	4464	2848

Stop Event

1×	node limit

Counts

112 → 121

Calls

Call 1

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

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
	0.2b	(-.f64 1 (atan.f64 N))
✓	0.7b	(-.f64 1 (atan.f64 (+.f64 N 1)))
✓	1.1b	(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite247.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best-4`
1056×	`rational_best-2`
1056×	`rational_best-3`
1056×	`rational_best-1`
1056×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	76	38
2	176	38
3	568	38
4	2791	38

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

simplify410.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational_best-simplify-75`
1454×	`rational_best-simplify-56`
1118×	`rational_best-simplify-3`
860×	`rational_best-simplify-55`
840×	`rational_best-simplify-66`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	3338
1	526	3136
2	1186	2960
3	3695	2928

Stop Event

1×	node limit

Counts

124 → 142

Calls

Call 1

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

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.0b	(*.f64 -3 (/.f64 (atan.f64 N) -4))
✓	0.0b	(-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1)))
✓	30.6b	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
1.0ms	N	@	0	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
1.0ms	N	@	inf	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
0.0ms	N	@	-inf	(-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1)))

rewrite377.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational_best-4`
1142×	`rational_best-2`
1142×	`rational_best-3`
1142×	`rational_best-1`
1142×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	98	71
2	208	71
3	611	59
4	2966	59

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) -1/4) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/4)))))) (#(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)) (*.f64 (atan.f64 N) 3/4)) (*.f64 (atan.f64 N) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) 1/4) (-.f64 (*.f64 (atan.f64 N) -1/2) (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) 3/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan.f64 N) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 (atan.f64 N) -1/8)) (*.f64 -3 (*.f64 (atan.f64 N) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 N) 3/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (*.f64 (atan.f64 N) -1/8)) (/.f64 (neg.f64 (*.f64 (atan.f64 N) 3/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 N) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 N) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 N) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (neg.f64 (atan.f64 N))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan.f64 N) 3/4) 1)))))

simplify677.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational_best-simplify-63`
1036×	`rational_best-simplify-85`
708×	`rational_best-simplify-1`
630×	`rational_best-simplify-47`
598×	`rational_best-simplify-108`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	6339
1	702	6291
2	1667	4565
3	6025	4501

Stop Event

1×	node limit

Counts

171 → 164

Calls

Call 1

Inputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
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Outputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 3/4 (atan.f64 N)))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
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(/.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4)) (atan.f64 N)) 4)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 N) 3)) (atan.f64 N)) 4)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) 3/2)) 2) (atan.f64 N)) 4)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (atan.f64 N) -2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 2))) 2)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -2)) 2)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (neg.f64 (.f64 (atan.f64 N) 4)) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 4))) 4)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (atan.f64 N) -4) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 4))) 4)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
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(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (atan.f64 N) -1/4) (-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) -2) (.f64 (atan.f64 N) -1/4))) 2)
(/.f64 (-.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) -2) (.f64 -1/4 (atan.f64 N)))) 2)
(-.f64 (.f64 (atan.f64 N) -1/8) (-.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) -1/8)))
(/.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 2 (+.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) 2)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 2 (.f64 2 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2))))) 4)
(/.f64 (-.f64 (neg.f64 (atan.f64 N)) (.f64 2 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2)))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1))) -1/2) (atan.f64 N)) 2)
(/.f64 (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -1/2)) (*.f64 (atan.f64 N) 3/2)) 2)
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(/.f64 (-.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 4)) (.f64 (atan.f64 N) 3)) 4)
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(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2))) (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4)) 2)
(-.f64 (/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) 2) (-.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (-.f64 (*.f64 (atan.f64 N) 3/2) (atan.f64 (+.f64 N 1))))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2)))) (.f64 2 (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2))) (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4)) 2)
(-.f64 (/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) 2) (-.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (.f64 2 (-.f64 (.f64 (atan.f64 N) 1/2) (-.f64 (*.f64 (atan.f64 N) 3/2) (atan.f64 (+.f64 N 1))))) 2)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 -1/4 (atan.f64 N))) (.f64 (atan.f64 N) 3/4))
(+.f64 (.f64 -1/4 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (*.f64 (atan.f64 N) 3/4) (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 0)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 0 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 3/4))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (neg.f64 (*.f64 (atan.f64 N) 3/4))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (.f64 (atan.f64 N) 3/4)) (-.f64 (.f64 (atan.f64 N) 3/2) (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 -3 (.f64 (atan.f64 N) -1/8))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (-.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (/.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 2) (/.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 2))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 -3 (.f64 (atan.f64 N) -1/8))) (.f64 -3 (.f64 (atan.f64 N) -1/8)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (.f64 (atan.f64 N) 3/2) (atan.f64 (+.f64 N 1))) (neg.f64 (.f64 (atan.f64 N) 3/4)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (neg.f64 (*.f64 (atan.f64 N) 3/4))) (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (/.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (*.f64 (atan.f64 N) 3/4) (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (neg.f64 (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 2) (/.f64 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 3/2)) 2))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (/.f64 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) 3/2)) 2) (/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 2))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (atan.f64 (+.f64 N 1))) (.f64 -3 (.f64 (atan.f64 N) -1/8)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 1 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 1)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 -1 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) -1)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 2 (.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 1/2))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/4)) -2) 1/2)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 1/2 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/4)) -2))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 1/2 (-.f64 (.f64 (atan.f64 N) 3) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 3/2))))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4) 1/4)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 1/4 (.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(.f64 (.f64 2 (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4)) 1/8)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 1)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/4)) -1)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 3/4)) -2) 2)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 (-.f64 (.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4) 4)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 4)) 8)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (.f64 (atan.f64 N) 3) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) 3/2))) 2)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (.f64 -6 (neg.f64 (atan.f64 N))) (.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) 4)) 8)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (.f64 -6 (neg.f64 (atan.f64 N))) (+.f64 (.f64 (atan.f64 N) 3) (*.f64 (atan.f64 (+.f64 N 1)) 4))) 4)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 3/2)) (*.f64 (atan.f64 (+.f64 N 1)) 4)) 2)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(/.f64 (-.f64 (+.f64 (.f64 (atan.f64 N) 3) (.f64 (atan.f64 (+.f64 N 1)) 4)) (.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) 4)) 4)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(pow.f64 (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))) 1)
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(neg.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 3/4)))
(-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 N) 3/4) 0)
(*.f64 (atan.f64 N) 3/4)
(+.f64 0 (*.f64 (atan.f64 N) 3/4))
(*.f64 (atan.f64 N) 3/4)
(+.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (.f64 -3 (.f64 (atan.f64 N) -1/8)))
(*.f64 (atan.f64 N) 3/4)
(-.f64 (*.f64 (atan.f64 N) 3/4) 0)
(*.f64 (atan.f64 N) 3/4)
(-.f64 (.f64 -3 (.f64 (atan.f64 N) -1/8)) (/.f64 (neg.f64 (*.f64 (atan.f64 N) 3/4)) 2))
(*.f64 (atan.f64 N) 3/4)
(/.f64 (*.f64 (atan.f64 N) 3/4) 1)
(*.f64 (atan.f64 N) 3/4)
(/.f64 (*.f64 (atan.f64 N) 3/2) 2)
(*.f64 (atan.f64 N) 3/4)
(/.f64 (*.f64 (atan.f64 N) 3) 4)
(*.f64 (atan.f64 N) 3/4)
(/.f64 (*.f64 -6 (neg.f64 (atan.f64 N))) 8)
(*.f64 (atan.f64 N) 3/4)
(pow.f64 (*.f64 (atan.f64 N) 3/4) 1)
(*.f64 (atan.f64 N) 3/4)

localize99.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 50 computations (23.1% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite390.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational_best-4`
1306×	`rational_best-2`
1306×	`rational_best-3`
1306×	`rational_best-1`
1306×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	123
1	103	123
2	196	79
3	586	71
4	3117	71

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify467.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational_best-simplify-67`
1082×	`rational_best-simplify-56`
1060×	`rational_best-simplify-65`
904×	`rational_best-simplify-3`
580×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	6564
1	973	6486
2	2501	6428

Stop Event

1×	node limit

Counts

216 → 250

Calls

Call 1

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

eval3.1s (6.9%)

Compiler: Compiled 41862 to 31224 computations (25.4% saved)

prune1.7s (3.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1635	12	1647
Fresh	4	1	5
Picked	0	1	1
Done	3	2	5
Total	1642	16	1658

Error

13.9b

Counts

1658 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))
▶	31.3b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))
	14.1b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 -1 (/.f64 (atan.f64 (+.f64 N 1)) 4))))
	14.2b	(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
▶	14.2b	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
✓	14.2b	(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
	31.3b	(-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 (+.f64 N 1)) -8))))
	14.2b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
▶	14.2b	(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
	14.2b	(-.f64 (.f64 1/2 (atan.f64 N)) (+.f64 (.f64 (atan.f64 N) 3/2) (neg.f64 (atan.f64 (+.f64 N 1)))))
✓	14.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	31.3b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (-.f64 (.f64 4 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) (atan.f64 N)))))
	31.4b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (.f64 (atan.f64 N) -4) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4) (atan.f64 N)))))
	14.2b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)) (atan.f64 N)))
▶	14.1b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
✓	14.2b	(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))

Compiler

Compiled 649 to 514 computations (20.8% saved)

localize154.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2))
✓	0.0b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))
✓	0.1b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2)))
✓	30.5b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))

Compiler

Compiled 111 to 82 computations (26.1% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))
2.0ms	N	@	-inf	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))
2.0ms	N	@	inf	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))
0.0ms	N	@	-inf	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2)))
0.0ms	N	@	inf	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2)))

rewrite347.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best-simplify-57`
952×	`rational_best-simplify-51`
832×	`rational_best-simplify-52`
768×	`rational_best-simplify-48`
762×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	230
1	141	230
2	319	230
3	1172	186

Stop Event

1×	node limit

Counts

4 → 239

Calls

Call 1

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

Outputs
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simplify686.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational_best-simplify-57`
1126×	`rational_best-simplify-51`
900×	`rational_best-simplify-65`
822×	`rational_best-simplify-64`
806×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	16907
1	1340	15867
2	3678	12685

Stop Event

1×	node limit

Counts

287 → 381

Calls

Call 1

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.3b	(-.f64 (atan.f64 (+.f64 N 1)) -2)
✓	0.3b	(+.f64 (atan.f64 N) 2)
✓	1.1b	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series17.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	N	@	-inf	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
0.0ms	N	@	0	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
0.0ms	N	@	inf	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) -2)
0.0ms	N	@	0	(+.f64 (atan.f64 N) 2)

rewrite360.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational_best-1`
1352×	`rational_best-4`
1352×	`rational_best-2`
1352×	`rational_best-3`
1352×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	90	61
2	193	49
3	566	49
4	3036	49

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

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

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

simplify467.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1072×	`rational_best-simplify-52`
980×	`rational_best-simplify-48`
960×	`rational_best-simplify-65`
890×	`rational_best-simplify-47`
694×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	4445
1	1059	4415
2	2622	4409

Stop Event

1×	node limit

Counts

221 → 210

Calls

Call 1

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

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.0b	(*.f64 (atan.f64 N) -7/4)
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2))
✓	31.0b	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))

Compiler

Compiled 56 to 38 computations (32.1% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
1.0ms	N	@	0	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
1.0ms	N	@	inf	(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
0.0ms	N	@	inf	(*.f64 (atan.f64 N) -7/4)
0.0ms	N	@	-inf	(*.f64 (atan.f64 N) -7/4)

rewrite383.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational_best-simplify-56`
1016×	`rational_best-simplify-75`
1010×	`rational_best-simplify-63`
948×	`rational_best-4`
948×	`rational_best-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	109	81
2	206	81
3	549	63
4	2243	59

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

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

simplify382.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational_best-simplify-51`
1038×	`rational_best-simplify-57`
726×	`rational_best-simplify-47`
608×	`rational_best-simplify-3`
582×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	6001
1	944	5483
2	2288	5359

Stop Event

1×	node limit

Counts

201 → 222

Calls

Call 1

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

localize100.0ms (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 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))
✓	0.0b	(+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4)))
✓	30.5b	(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))

Compiler

Compiled 76 to 49 computations (35.5% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	N	@	inf	(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
1.0ms	N	@	0	(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
1.0ms	N	@	-inf	(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
0.0ms	N	@	-inf	(+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4)))
0.0ms	N	@	inf	(+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4)))

rewrite510.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`rational_best-4`
1984×	`rational_best-2`
1984×	`rational_best-3`
1984×	`rational_best-1`
502×	`rational_best-simplify-83`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	148
1	127	140
2	266	140
3	884	124
4	5486	124

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

Outputs
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simplify497.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

826×	`rational_best-simplify-59`
728×	`rational_best-simplify-65`
706×	`rational_best-simplify-56`
606×	`rational_best-simplify-75`
596×	`rational_best-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	10858
1	981	10588
2	2926	8422

Stop Event

1×	node limit

Counts

226 → 292

Calls

Call 1

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

localize179.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8))
✓	0.5b	(+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
✓	1.6b	(-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4))))
✓	31.2b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))

Compiler

Compiled 128 to 97 computations (24.2% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
0.0ms	N	@	-inf	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))
0.0ms	N	@	0	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))
0.0ms	N	@	inf	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))
0.0ms	N	@	-inf	(-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4))))

rewrite737.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-47`
656×	`rational_best-simplify-57`
632×	`rational_best-simplify-83`
592×	`rational_best-simplify-51`
558×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	264
1	147	252
2	312	208
3	1130	186
4	7610	186

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

Outputs
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simplify873.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational_best-simplify-51`
982×	`rational_best-simplify-59`
918×	`rational_best-simplify-65`
716×	`rational_best-simplify-64`
670×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	21290
1	1365	20268
2	3796	18200

Stop Event

1×	node limit

Counts

302 → 489

Calls

Call 1

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

eval3.0s (6.9%)

Compiler: Compiled 46297 to 34699 computations (25.1% saved)

prune1.8s (4.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1685	13	1698
Fresh	6	2	8
Picked	1	0	1
Done	3	4	7
Total	1695	19	1714

Error

13.9b

Counts

1714 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(-.f64 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/8)) -2) (/.f64 (.f64 (atan.f64 N) -1/8) 2)))
	31.3b	(-.f64 (/.f64 (.f64 (atan.f64 N) -1/8) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (/.f64 (-.f64 (.f64 -7/8 (atan.f64 N)) (atan.f64 N)) 2)))
	31.7b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 13/8) (atan.f64 N))))
	14.1b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 (/.f64 (atan.f64 N) -4) (+.f64 (+.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -7/8)) (/.f64 (atan.f64 N) -4))))
	14.1b	(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 -1 (/.f64 (atan.f64 (+.f64 N 1)) 4))))
	14.2b	(-.f64 (-.f64 (+.f64 (.f64 1/4 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 3/2 (atan.f64 N))) (/.f64 (atan.f64 N) -4))
✓	14.2b	(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
✓	14.2b	(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
	14.2b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
	31.3b	(-.f64 (+.f64 (.f64 -7/8 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (.f64 (atan.f64 N) -1/8) 2))) (.f64 (.f64 (atan.f64 N) -1/8) -1/2))
	14.1b	(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/8)) (.f64 (atan.f64 N) 1/8))
	14.2b	(-.f64 (.f64 1/4 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
	31.3b	(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 N) -8))))
✓	14.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	23.4b	(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 1 (neg.f64 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7/8) 1)))))
	14.1b	(+.f64 (/.f64 (atan.f64 N) 8) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (.f64 (atan.f64 N) 3/2))))
	14.2b	(+.f64 (+.f64 (+.f64 1 (neg.f64 (atan.f64 N))) 1) (+.f64 (+.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -2)) -2) 1))
	14.2b	(+.f64 (+.f64 (.f64 (atan.f64 N) -3/2) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) 1/2))
✓	14.2b	(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))

Compiler

Compiled 381 to 301 computations (21% saved)

regimes153.0ms (0.3%)

Counts

40 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (-.f64 -1 (atan.f64 N)) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
(+.f64 (-.f64 -1 (atan.f64 N)) (-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))) (-.f64 1 (atan.f64 N)))
(+.f64 (+.f64 (+.f64 1 (neg.f64 (atan.f64 N))) 1) (+.f64 (+.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -2)) -2) 1))
(+.f64 (+.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)) (.f64 (atan.f64 N) -7/8)) (.f64 (atan.f64 N) 1/8))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 1/2 (atan.f64 N)) (+.f64 (.f64 (atan.f64 N) 3/2) (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
(-.f64 (.f64 1/4 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)) (atan.f64 N)))
(-.f64 (-.f64 (+.f64 (.f64 (atan.f64 N) -1/2) -1) (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) -1)
(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 1 (neg.f64 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7/8) 1)))))
(-.f64 (-.f64 (+.f64 (.f64 1/4 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 3/2 (atan.f64 N))) (/.f64 (atan.f64 N) -4))
(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
(+.f64 (atan.f64 N) (+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -1/2))))
(+.f64 (/.f64 (atan.f64 N) 8) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (.f64 (atan.f64 N) 3/2))))
(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 N) -8))))
(-.f64 (/.f64 (.f64 (atan.f64 N) -1/8) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (/.f64 (-.f64 (.f64 -7/8 (atan.f64 N)) (atan.f64 N)) 2)))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3/2) (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (+.f64 (.f64 -7/8 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (.f64 (atan.f64 N) -1/8) 2))) (.f64 (.f64 (atan.f64 N) -1/8) -1/2))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 13/8) (atan.f64 N))))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 -1 (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 2))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (.f64 (atan.f64 N) -4) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4) (atan.f64 N)))))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 (/.f64 (atan.f64 N) -4) (+.f64 (+.f64 (.f64 (atan.f64 N) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -7/8)) (/.f64 (atan.f64 N) -4))))
(-.f64 (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/8)) -2) (/.f64 (.f64 (atan.f64 N) -1/8) 2)))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3/4) (.f64 (atan.f64 N) 3/2)) (-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (/.f64 (atan.f64 N) -2))))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 N) 3/2) (+.f64 (+.f64 (.f64 1/2 (atan.f64 N)) (/.f64 (atan.f64 (+.f64 N 1)) 8)) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) 1/2)) (-.f64 (.f64 4 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 1/4) (atan.f64 N)))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (atan.f64 N) 2) (-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (/.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -1/2) (.f64 (atan.f64 N) 2)))))
(-.f64 (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (.f64 1/2 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 (+.f64 N 1)) -8))))

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

Calls

2 calls:

68.0ms	N
24.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
14.1b	1	`N`
14.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 815 to 592 computations (27.4% saved)

regimes115.0ms (0.3%)

Counts

33 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (-.f64 -1 (atan.f64 N)) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
(+.f64 (-.f64 -1 (atan.f64 N)) (-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))) (-.f64 1 (atan.f64 N)))
(+.f64 (+.f64 (+.f64 1 (neg.f64 (atan.f64 N))) 1) (+.f64 (+.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -2)) -2) 1))
(+.f64 (+.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)) (.f64 (atan.f64 N) -7/8)) (.f64 (atan.f64 N) 1/8))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 1/2 (atan.f64 N)) (+.f64 (.f64 (atan.f64 N) 3/2) (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
(-.f64 (.f64 1/4 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)) (atan.f64 N)))
(-.f64 (-.f64 (+.f64 (.f64 (atan.f64 N) -1/2) -1) (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) -1)
(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 1 (neg.f64 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7/8) 1)))))
(-.f64 (-.f64 (+.f64 (.f64 1/4 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 3/2 (atan.f64 N))) (/.f64 (atan.f64 N) -4))
(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
(+.f64 (atan.f64 N) (+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -1/2))))
(+.f64 (/.f64 (atan.f64 N) 8) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (.f64 (atan.f64 N) 3/2))))
(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 N) -8))))
(-.f64 (/.f64 (.f64 (atan.f64 N) -1/8) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (/.f64 (-.f64 (.f64 -7/8 (atan.f64 N)) (atan.f64 N)) 2)))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3/2) (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (+.f64 (.f64 -7/8 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (.f64 (atan.f64 N) -1/8) 2))) (.f64 (.f64 (atan.f64 N) -1/8) -1/2))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 13/8) (atan.f64 N))))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 -1 (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 2))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (.f64 (atan.f64 N) -4) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4) (atan.f64 N)))))

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

Calls

2 calls:

62.0ms	N
7.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
14.1b	1	`N`
14.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 595 to 428 computations (28.1% saved)

regimes103.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 -2 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (-.f64 -1 (atan.f64 N)) (-.f64 -1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 1 (atan.f64 N)) (-.f64 1 (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (atan.f64 N) 2))
(+.f64 (-.f64 -1 (atan.f64 N)) (-.f64 1 (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (-.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))) (-.f64 1 (atan.f64 N)))
(+.f64 (+.f64 (+.f64 1 (neg.f64 (atan.f64 N))) 1) (+.f64 (+.f64 (+.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) -2)) -2) 1))
(+.f64 (+.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)) (.f64 (atan.f64 N) -7/8)) (.f64 (atan.f64 N) 1/8))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 (atan.f64 N) 3/4) (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 1/2 (atan.f64 N)) (+.f64 (.f64 (atan.f64 N) 3/2) (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (.f64 (atan.f64 N) -7/4) 1/2)) (*.f64 (atan.f64 N) -1/8))
(-.f64 (.f64 1/4 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -3/4)))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/2) (.f64 (atan.f64 (+.f64 N 1)) -1/2)) (atan.f64 N))
(-.f64 (/.f64 (atan.f64 N) -4) (-.f64 (*.f64 -3 (/.f64 (atan.f64 N) -4)) (atan.f64 (+.f64 N 1))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3/4)) (atan.f64 N)))
(-.f64 (-.f64 (+.f64 (.f64 (atan.f64 N) -1/2) -1) (-.f64 (.f64 (atan.f64 N) 1/2) (atan.f64 (+.f64 N 1)))) -1)
(+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (+.f64 (-.f64 -1 (atan.f64 N)) (+.f64 1 (.f64 1/2 (atan.f64 (+.f64 N 1))))))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (+.f64 1 (neg.f64 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7/8) 1)))))
(-.f64 (-.f64 (+.f64 (.f64 1/4 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 3/2 (atan.f64 N))) (/.f64 (atan.f64 N) -4))
(-.f64 (+.f64 (neg.f64 (*.f64 (atan.f64 N) 3/2)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (atan.f64 N) 4))) (/.f64 (atan.f64 N) -4))
(+.f64 (atan.f64 N) (+.f64 (.f64 1/2 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -1/2))))
(+.f64 (/.f64 (atan.f64 N) 8) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (.f64 (atan.f64 N) 3/2))))
(-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (+.f64 (.f64 (atan.f64 N) 3/2) (/.f64 (atan.f64 N) -8))))
(-.f64 (/.f64 (.f64 (atan.f64 N) -1/8) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (/.f64 (-.f64 (.f64 -7/8 (atan.f64 N)) (atan.f64 N)) 2)))
(+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3/2) (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (+.f64 (.f64 -7/8 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (/.f64 (.f64 (atan.f64 N) -1/8) 2))) (.f64 (.f64 (atan.f64 N) -1/8) -1/2))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 8) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 13/8) (atan.f64 N))))
(-.f64 (/.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (+.f64 (atan.f64 N) (-.f64 -1 (*.f64 (atan.f64 (+.f64 N 1)) 1/2))) (+.f64 -1 (/.f64 (atan.f64 (+.f64 N 1)) 4))))
(-.f64 (-.f64 (+.f64 (atan.f64 N) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (atan.f64 N))

Outputs
(+.f64 (/.f64 (atan.f64 N) 8) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (/.f64 (.f64 (atan.f64 N) 3) -8) (.f64 (atan.f64 N) 3/2))))

Calls

2 calls:

44.0ms	N
22.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
14.1b	1	`N`
14.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 545 to 393 computations (27.9% saved)

regimes97.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -7/8)) (.f64 (atan.f64 N) 1/8))

Calls

2 calls:

38.0ms	N
30.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
14.1b	1	`N`
14.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 363 to 262 computations (27.8% saved)

regimes53.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	N
4.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
14.2b	1	`N`
14.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 120 to 89 computations (25.8% saved)

regimes35.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
10.0ms	N

Results

Error	Segments	Branch
14.2b	1	`N`
14.2b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 106 to 80 computations (24.5% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	334

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 114 to 85 computations (25.4% saved)

soundness912.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1546×	`rational_best-simplify-75`
1258×	`rational_best-simplify-57`
1068×	`rational_best-simplify-56`
984×	`rational_best-simplify-67`
842×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	13777
1	1307	9361
2	3616	8899
0	749	29505
1	2055	28167
2	5841	23985

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 302 to 231 computations (23.5% saved)

end195.0ms (0.4%)

Compiler: Compiled 109 to 75 computations (31.2% saved)