Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample4.3s (45.8%)

Results

1.9s	2176×	body	2048	valid
1.6s	4534×	body	256	valid
672.0ms	1021×	body	1024	valid
139.0ms	525×	body	512	valid

Bogosity

preprocess28.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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

13.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite113.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`rational.json-5`
1652×	`exponential.json-3`
1652×	`rational.json-1`
1652×	`rational.json-2`
1652×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	74	21
2	234	21
3	860	21
4	3254	21

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify224.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational.json-simplify-58`
952×	`rational.json-simplify-47`
912×	`rational.json-simplify-41`
854×	`rational.json-simplify-1`
698×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	621
1	61	575
2	193	575
3	895	483
4	3639	483
5	5956	483

Stop Event

1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

eval6.0ms (0.1%)

Compiler: Compiled 369 to 238 computations (35.5% saved)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

13.5b

Counts

23 → 2

Alt Table

Click to see full alt table

Status

Error

Program

✓

13.5b

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

▶

32.2b

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

Compiler

Compiled 66 to 44 computations (33.3% saved)

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.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)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
✓	0.5b	(.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
✓	0.5b	(/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
	2.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 179 to 112 computations (37.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite155.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`rational.json-simplify-47`
962×	`rational.json-simplify-55`
682×	`rational.json-5`
680×	`exponential.json-3`
680×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	335
1	128	335
2	413	173
3	1574	173
4	6663	173

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

Outputs

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

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

simplify229.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational.json-simplify-2`
884×	`rational.json-simplify-54`
760×	`rational.json-simplify-50`
660×	`rational.json-simplify-79`
610×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	3008
1	161	3008
2	336	3008
3	1067	3008
4	3054	3008
5	6010	3008

Stop Event

1×	node limit

Counts

72 → 51

Calls

Call 1

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

eval372.0ms (3.9%)

Compiler: Compiled 12789 to 8203 computations (35.9% saved)

prune54.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	204	3	207

Error

13.5b

Counts

207 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

13.5b

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

▶

13.5b

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

▶

32.2b

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

Compiler

Compiled 64 to 46 computations (28.1% saved)

localize74.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)
	0.5b	(/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
	2.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	2.2b	(-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N))

Compiler

Compiled 153 to 99 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`rational.json-5`
1852×	`exponential.json-3`
1852×	`rational.json-1`
1852×	`rational.json-2`
1852×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	89	48
2	277	48
3	972	48
4	3653	48

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)

Outputs

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

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1620×	`rational.json-simplify-47`
962×	`rational.json-simplify-49`
946×	`rational.json-simplify-2`
786×	`rational.json-simplify-1`
756×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1263
1	103	1263
2	292	1263
3	1378	1263
4	5707	1263

Stop Event

1×	node limit

Counts

53 → 33

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))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (-.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.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)) (atan.f64 N)) (-.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)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 0)
(+.f64 0 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 0)
(*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1)
(*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))
(*.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (*.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1))
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (pow.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (/.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))
(/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1)
(/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (-.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (/.f64 (-.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 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.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 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (/.f64 (-.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 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.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 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 0)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(+.f64 0 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(-.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 0)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(*.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (*.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) (pow.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(.f64 (pow.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (/.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (atan.f64 N) -1)
✓	0.8b	(-.f64 (atan.f64 (+.f64 1 N)) (-.f64 (atan.f64 N) -1))
✓	14.0b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (-.f64 (atan.f64 N) -1)) 1)

Compiler

Compiled 37 to 25 computations (32.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite133.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational.json-simplify-2`
974×	`rational.json-simplify-79`
576×	`rational.json-simplify-41`
562×	`rational.json-simplify-47`
536×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	102	71
2	314	59
3	1160	59
4	4327	59

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

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

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

770×	`exponential.json-simplify-26`
770×	`rational.json-simplify-47`
640×	`rational.json-simplify-111`
598×	`rational.json-simplify-41`
590×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	2375
1	308	2359
2	924	2359
3	3418	2359
4	6448	2359

Stop Event

1×	node limit

Counts

115 → 87

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

eval195.0ms (2.1%)

Compiler: Compiled 9573 to 6383 computations (33.3% saved)

prune38.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	224	4	228
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	225	6	231

Error

13.5b

Counts

231 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶	13.5b	(-.f64 2 (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) 2)))
✓	13.5b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (-.f64 (atan.f64 N) -1)) 1)
▶	13.5b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))))) 1)
▶	32.2b	(.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.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)) (pow.f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3)))
▶	32.2b	(.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)))

Compiler

Compiled 240 to 164 computations (31.7% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)))
	0.5b	(pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)
	2.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	2.2b	(-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N))

Compiler

Compiled 101 to 68 computations (32.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational.json-simplify-49`
900×	`rational.json-simplify-47`
826×	`rational.json-simplify-50`
644×	`rational.json-5`
642×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	152	85
2	402	85
3	1407	85
4	5640	85

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify255.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

942×	`rational.json-simplify-111`
774×	`rational.json-simplify-104`
758×	`rational.json-simplify-2`
610×	`rational.json-simplify-79`
584×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	1017
1	60	1017
2	131	1017
3	370	1017
4	1429	1017
5	3711	1017
6	5764	1017
7	7619	1017

Stop Event

1×	node limit

Counts

21 → 12

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 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))))
(-.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) (/.f64 (.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3))) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3)))))

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

localize148.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3)
	0.5b	(.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
	0.5b	(/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
	2.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 399 to 254 computations (36.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite156.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`rational.json-simplify-55`
756×	`rational.json-5`
754×	`exponential.json-3`
754×	`rational.json-1`
754×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	189
1	144	189
2	455	27
3	1729	27
4	7295	27

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs

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

Outputs

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

simplify212.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-111`
894×	`rational.json-simplify-50`
774×	`rational.json-simplify-54`
754×	`rational.json-simplify-2`
748×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1107
1	167	1107
2	332	1107
3	954	1107
4	2891	1107
5	6911	1107

Stop Event

1×	node limit

Counts

41 → 31

Calls

Call 1

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

Outputs
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) 3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
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(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
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(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)
(+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 0)
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(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)

localize111.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (*.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))
✓	0.5b	(.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (*.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))
✓	0.8b	(-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))))
✓	30.6b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))))) 1)

Compiler

Compiled 395 to 241 computations (39% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite170.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`rational.json-5`
934×	`exponential.json-3`
934×	`rational.json-1`
934×	`rational.json-2`
934×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	628
1	169	436
2	553	168
3	2140	168
4	7406	156

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

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 (atan.f64 (+.f64 1 N)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) -1)))) (#(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 N) (atan.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 (atan.f64 N) (+.f64 1 (atan.f64 (+.f64 1 N)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 -1 (atan.f64 N))) 1)))) (#(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 (atan.f64 (+.f64 1 N)) -1) (-.f64 (atan.f64 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 1 N)) -1) (+.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 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 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 (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.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 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 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 pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) 0)))) (#(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 0 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 (atan.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))))))) (#(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 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))) (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))) (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))) (.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))) (*.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (/.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N)))))))) (#(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 pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (+.f64 1 (atan.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))) (neg.f64 (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 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simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-49`
1092×	`rational.json-simplify-2`
1052×	`rational.json-simplify-54`
878×	`rational.json-simplify-50`
676×	`rational.json-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	4258
1	411	4258
2	946	4250
3	2784	4250

Stop Event

1×	node limit

Counts

128 → 94

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) 2))
✓	0.2b	(-.f64 (atan.f64 (+.f64 1 N)) 2)
✓	18.6b	(-.f64 2 (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) 2)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational.json-simplify-2`
568×	`rational.json-simplify-47`
554×	`rational.json-simplify-58`
550×	`rational.json-5`
548×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	103	65
2	340	65
3	1216	65
4	4533	65

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

simplify218.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational.json-simplify-49`
950×	`rational.json-simplify-54`
916×	`rational.json-simplify-2`
848×	`rational.json-simplify-1`
768×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	2441
1	276	2441
2	682	2441
3	2040	2441
4	6173	2441

Stop Event

1×	node limit

Counts

109 → 84

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

eval857.0ms (9%)

Compiler: Compiled 50549 to 33043 computations (34.6% saved)

prune154.0ms (1.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	662	10	672
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	664	14	678

Error

13.3b

Counts

678 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	13.5b	(-.f64 2 (-.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) 2)))
	24.2b	(-.f64 2 (-.f64 (atan.f64 N) (.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (atan.f64 (+.f64 N 1)) 2)) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (atan.f64 (+.f64 N 1)) 2))))))
	24.2b	(-.f64 2 (-.f64 (atan.f64 N) (.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (atan.f64 (+.f64 N 1)) 2)))))
✓	13.5b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (-.f64 (atan.f64 N) -1)) 1)
	20.5b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (pow.f64 (+.f64 1 (atan.f64 N)) 4) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (*.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))))) 1)
	24.3b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))) 1) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))))) 1)
	20.3b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (*.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (pow.f64 (+.f64 1 (atan.f64 N)) 4)))) 1)
	24.1b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))) 1)))) 1)
	30.9b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (.f64 (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))))) 1)
	13.5b	(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (.f64 (.f64 (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (/.f64 (.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N))))) (.f64 (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))) (/.f64 (/.f64 1 (+.f64 1 (atan.f64 N))) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (.f64 (+.f64 1 (atan.f64 N)) (+.f64 1 (atan.f64 N)))))))) 1)
	32.2b	(.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.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)) (pow.f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3)))
	32.2b	(.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (-.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)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (pow.f64 (.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3)))
✓	32.2b	(.f64 (/.f64 1 (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (-.f64 (atan.f64 (-.f64 N -1)) (atan.f64 N)) 3)))

Compiler

Compiled 896 to 614 computations (31.5% saved)

regimes37.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

10.0ms	N
5.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
13.5b	1	`N`
13.5b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 1169 to 771 computations (34% saved)

regimes31.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
13.5b	1	`N`
13.5b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 814 to 543 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
13.5b	1	`N`
13.5b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	464

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 152 to 104 computations (31.6% saved)

soundness0.0ms (0%)

end71.0ms (0.8%)

Compiler: Compiled 149 to 98 computations (34.2% saved)

Details

analyze1.0ms (0%)

sample4.3s (45.8%)

preprocess28.0ms (0.3%)

simplify28.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite113.0ms (1.2%)

simplify224.0ms (2.4%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

localize69.0ms (0.7%)

series5.0ms (0.1%)

rewrite155.0ms (1.6%)

simplify229.0ms (2.4%)

eval372.0ms (3.9%)

prune54.0ms (0.6%)

localize74.0ms (0.8%)

series1.0ms (0%)

rewrite92.0ms (1%)

simplify169.0ms (1.8%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite133.0ms (1.4%)

simplify228.0ms (2.4%)

eval195.0ms (2.1%)

prune38.0ms (0.4%)

localize42.0ms (0.4%)

series0.0ms (0%)

rewrite129.0ms (1.4%)

simplify255.0ms (2.7%)

localize148.0ms (1.6%)

series1.0ms (0%)

rewrite156.0ms (1.6%)

simplify212.0ms (2.2%)

localize111.0ms (1.2%)

series7.0ms (0.1%)

rewrite170.0ms (1.8%)

simplify136.0ms (1.4%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite129.0ms (1.4%)

simplify218.0ms (2.3%)

eval857.0ms (9%)

prune154.0ms (1.6%)

regimes37.0ms (0.4%)

regimes31.0ms (0.3%)

regimes7.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end71.0ms (0.8%)

Profiling