Details

analyze1.3s (7.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	8
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	9
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	10
41.1%	35.9%	51.5%	0.1%	12.5%	0%	0%	11
51.3%	44.9%	42.5%	0.1%	12.5%	0%	0%	12

Compiler

Compiled 25 to 20 computations (20% saved)

sample6.5s (35.9%)

Results

1.9s	1714×	body	1024	valid
1.5s	1396×	body	1024	infinite
1.5s	5498×	body	256	valid
544.0ms	705×	body	512	infinite
452.0ms	836×	body	512	valid
369.0ms	205×	body	2048	valid
235.0ms	999×	body	256	infinite
15.0ms	3×	body	4096	valid

Bogosity

preprocess186.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1614×	`rational.json-simplify-35`
1366×	`rational.json-simplify-2`
996×	`rational.json-simplify-48`
984×	`rational.json-simplify-52`
788×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	268
1	94	268
2	133	268
3	193	268
4	380	268
5	771	268
6	2099	268
7	3883	268
8	6187	268
9	7284	268
10	7678	268
11	7862	268
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2))

Outputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 angle -180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle -180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 angle -180)))) 2))
(+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle -180)))) 2))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) b) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle -180)))) 2))
(+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 b -180)))) 2))

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify275.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2054×	`rational.json-simplify-35`
1680×	`rational.json-simplify-1`
1232×	`rational.json-simplify-2`
932×	`rational.json-simplify-26`
820×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	37	67
2	52	67
3	76	67
4	153	67
5	308	67
6	817	67
7	2455	67
8	4595	67
9	6326	67
10	6899	67
11	7311	67
12	7361	67
13	7451	67
14	7613	67

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))

Outputs

(+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))

(+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 angle -180)))) 2))

(+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 angle -180)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 angle -180)))) 2))

eval1.0ms (0%)

Compiler: Compiled 66 to 49 computations (25.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

21.9b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
✓	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	25.7b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	26.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
1.0ms	angle	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
1.0ms	angle	@	inf	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
1.0ms	angle	@	inf	(*.f64 (/.f64 angle 180) (PI.f64))
1.0ms	angle	@	-inf	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-3`
1460×	`exponential.json-3`
1460×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	105	84
2	236	84
3	499	84
4	1122	84
5	3169	84
6	6236	84

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
(*.f64 (/.f64 angle 180) (PI.f64))
(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (.f64 angle (*.f64 -1/180 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 angle 1/180) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (-.f64 -1 (.f64 (.f64 angle 1/180) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1) (-.f64 (PI.f64) (+.f64 (PI.f64) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (-.f64 (-.f64 -1 (PI.f64)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 -1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (-.f64 (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (PI.f64)) (+.f64 (.f64 (.f64 angle 1/180) (PI.f64)) 1)) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (+.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))) (-.f64 1 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simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-35`
998×	`rational.json-simplify-1`
948×	`rational.json-simplify-49`
836×	`rational.json-simplify-2`
740×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	356	4948
1	739	4828
2	1647	4828
3	3995	4820
4	6316	4812

Stop Event

1×	node limit

Counts

202 → 196

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(-.f64 0 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))))
(-.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(.f64 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) 1)
(.f64 2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2))
(.f64 1 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64))))
(.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) 4))
(.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2))
(.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) 2)
(.f64 (neg.f64 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64)))) -1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1)
(/.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1)
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Outputs
1
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(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) a) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) a) 2) 1/2) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (sin.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 1/2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) 2) (pow.f64 (*.f64 a 1/2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (+.f64 a a)) 2) 1/4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 angle 1/180) (PI.f64))) a) 2) 4)) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) 4))) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) 4))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) 4)))) 32)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)

eval125.0ms (0.7%)

Compiler: Compiled 7153 to 5273 computations (26.3% saved)

prune62.0ms (0.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	237	17	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	17	255

Error

21.5b

Counts

255 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64))))))) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (+.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180)))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
▶	22.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.5b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.5b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	34.5b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))

Compiler

Compiled 860 to 692 computations (19.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
	25.7b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
0.0ms	a	@	0	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
0.0ms	a	@	inf	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
0.0ms	a	@	-inf	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
0.0ms	angle	@	inf	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-1`
1712×	`rational.json-2`
1084×	`rational.json-simplify-35`
1004×	`rational.json-simplify-45`
980×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	82	25
2	180	25
3	381	25
4	791	25
5	1959	25
6	4439	25
7	7540	25

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2) (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 1/2) (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 1)))))

simplify203.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-2`
1952×	`rational.json-simplify-35`
994×	`rational.json-simplify-43`
956×	`exponential.json-simplify-26`
896×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1112
1	167	1076
2	335	1076
3	664	1052
4	2338	1052
5	3954	1052
6	4675	1052
7	5021	1052
8	5582	1052
9	6518	1052
10	7751	1052

Stop Event

1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 a (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 0)
(+.f64 0 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(+.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2) (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2))
(-.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 0)
(/.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)
(/.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8)))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)

Outputs
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 a (.f64 (PI.f64) (*.f64 1/180 angle)))
(.f64 (PI.f64) (.f64 a (*.f64 1/180 angle)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))))
(+.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) -1/34992000)))
(+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 a (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(.f64 a (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 a (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 a (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) -1/34992000)) (.f64 a (.f64 (pow.f64 (*.f64 angle (PI.f64)) 5) 1/22674816000000))))
(+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 a (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 a (.f64 1/22674816000000 (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 a (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 (PI.f64) (.f64 1/180 angle)))))
(+.f64 (.f64 a (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 a (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (+.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5))))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7))))))
(+.f64 (+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) 1/22674816000000))) (+.f64 (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) -1/34992000)) (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 7) -1/30855889612800000000))))
(+.f64 (.f64 a (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 a (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 a (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7))))))
(+.f64 (.f64 a (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 a (+.f64 (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))))
(+.f64 (.f64 a (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 a (+.f64 (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 0)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 0 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2) (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1/2))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(-.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 0)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8) 8)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 8)) 16)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) 32)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8)))) 64)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
✓	0.3b	(*.f64 (PI.f64) a)
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
	26.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 86 to 48 computations (44.2% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
1.0ms	angle	@	0	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
0.0ms	angle	@	-inf	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
0.0ms	a	@	-inf	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
0.0ms	angle	@	inf	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)

rewrite197.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2542×	`rational.json-simplify-35`
1440×	`rational.json-simplify-1`
1330×	`exponential.json-3`
1330×	`rational.json-1`
1330×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	67	30
2	151	30
3	321	30
4	623	30
5	1500	30
6	3444	30
7	5055	30
8	5987	30
9	7138	30
10	7138	30
11	7138	30

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(*.f64 (PI.f64) a)
(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) a) 1/2) (*.f64 (*.f64 (PI.f64) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) a) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (PI.f64) a) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) a) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) a) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 angle 2) (pow.f64 (*.f64 (PI.f64) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 a angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 2) (pow.f64 (*.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) a) 2)) (*.f64 (pow.f64 angle 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 angle 2)) (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a angle) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 4) (*.f64 (pow.f64 angle 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 a 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 angle 2) 4) (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)) (/.f64 (pow.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 1/2) (*.f64 2 (pow.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 angle 2) 1/2) (*.f64 2 (pow.f64 (*.f64 (PI.f64) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a angle)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (*.f64 a (*.f64 angle 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (*.f64 (*.f64 a angle) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 2 (pow.f64 (*.f64 a angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 2) 2) (*.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 1/4) (*.f64 (pow.f64 angle 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (*.f64 (*.f64 (PI.f64) angle) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 angle 2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a (*.f64 angle 4))) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2) (*.f64 (pow.f64 a 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (+.f64 angle angle)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 8)))))) 256)))))

simplify235.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2170×	`rational.json-simplify-35`
1744×	`rational.json-simplify-1`
1256×	`exponential.json-simplify-27`
1232×	`rational.json-simplify-41`
972×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1863
1	369	1863
2	954	1863
3	2174	1863
4	3408	1863
5	5592	1863
6	6526	1863
7	7071	1863
8	7350	1863
9	7354	1863
10	7354	1863

Stop Event

1×	node limit

Counts

103 → 74

Calls

Call 1

Inputs
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (PI.f64) a) 0)
(+.f64 0 (*.f64 (PI.f64) a))
(+.f64 (.f64 (.f64 (PI.f64) a) 1/2) (.f64 (.f64 (PI.f64) a) 1/2))
(-.f64 (*.f64 (PI.f64) a) 0)
(/.f64 (*.f64 (PI.f64) a) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 a a)) 2)
(/.f64 (.f64 (PI.f64) (.f64 a 4)) 4)
(/.f64 (.f64 (.f64 (PI.f64) a) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) a) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (PI.f64) a) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8)))))) 256)
(pow.f64 (*.f64 (PI.f64) a) 1)
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 0)
(+.f64 0 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2))
(-.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 0)
(.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1)
(.f64 1 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) a) 2) (pow.f64 angle 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) a) 2))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2)) 1/2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 a angle) 2))
(.f64 (pow.f64 a 2) (pow.f64 (.f64 (PI.f64) angle) 2))
(.f64 4 (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4))
(.f64 4 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)) (.f64 (pow.f64 angle 2) 1/2))
(.f64 (.f64 2 (pow.f64 angle 2)) (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/2))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2)))
(.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 4) (.f64 (pow.f64 angle 2) 1/4))
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 angle 2)))
(.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 angle 2)))
(.f64 (.f64 2 (pow.f64 (*.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))
(.f64 (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)) (/.f64 (pow.f64 a 2) 2))
(.f64 1/4 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 4))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/2) (.f64 2 (pow.f64 angle 2)))
(.f64 (.f64 (pow.f64 angle 2) 1/2) (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)))
(.f64 16 (pow.f64 (/.f64 (.f64 (PI.f64) (*.f64 a angle)) 4) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 a (.f64 angle 1/2)) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 (.f64 a angle) 1/2) 2))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (*.f64 a angle) 2)))
(.f64 (/.f64 (pow.f64 a 2) 2) (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/4) (.f64 (pow.f64 angle 2) 4))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/2)) 2))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/2) 2))
(.f64 (.f64 (pow.f64 angle 2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 4))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/4) 4)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 4))) 2) 1/16)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (*.f64 (pow.f64 a 2) 1/4))
(.f64 (pow.f64 (.f64 a (+.f64 angle angle)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)))))) 256)

Outputs
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(*.f64 a (PI.f64))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(+.f64 (*.f64 (PI.f64) a) 0)
(*.f64 a (PI.f64))
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(*.f64 a (PI.f64))
(+.f64 (.f64 (.f64 (PI.f64) a) 1/2) (.f64 (.f64 (PI.f64) a) 1/2))
(*.f64 a (PI.f64))
(-.f64 (*.f64 (PI.f64) a) 0)
(*.f64 a (PI.f64))
(/.f64 (*.f64 (PI.f64) a) 1)
(*.f64 a (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 a a)) 2)
(*.f64 a (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 a 4)) 4)
(*.f64 a (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) a) 8) 8)
(*.f64 a (PI.f64))
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) a) 8)) 16)
(*.f64 a (PI.f64))
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(*.f64 a (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (PI.f64) a) 8)))) 64)
(*.f64 a (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8))))) 128)
(*.f64 a (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) a) 8)))))) 256)
(*.f64 a (PI.f64))
(pow.f64 (*.f64 (PI.f64) a) 1)
(*.f64 a (PI.f64))
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(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 1 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) a) 2) (pow.f64 angle 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) a) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2)) 1/2)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 a angle) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 a 2) (pow.f64 (.f64 (PI.f64) angle) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 4 (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 4 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)) (.f64 (pow.f64 angle 2) 1/2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
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(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 4) 1/4)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 4) (.f64 (pow.f64 angle 2) 1/4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 angle 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 angle 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)) (/.f64 (pow.f64 a 2) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 1/4 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/2) 2)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/2) (.f64 2 (pow.f64 angle 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 angle 2) 1/2) (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 16 (pow.f64 (/.f64 (.f64 (PI.f64) (*.f64 a angle)) 4) 2))
(.f64 16 (pow.f64 (.f64 (*.f64 a angle) (/.f64 (PI.f64) 4)) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (/.f64 (*.f64 a angle) 4)) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (*.f64 a (/.f64 angle 4))) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (*.f64 angle (/.f64 a 4))) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 a (.f64 angle 1/2)) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 (.f64 a angle) 1/2) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (*.f64 a angle) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (/.f64 (pow.f64 a 2) 2) (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 1/4) (.f64 (pow.f64 angle 2) 4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/2)) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/2) 2))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 angle 2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) a) 2) 4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/4) 4)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 4))) 2) 1/16)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (*.f64 (pow.f64 a 2) 1/4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 (pow.f64 (.f64 a (+.f64 angle angle)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 2)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 4) 4)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8) 8)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)) 16)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8))) 32)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)))) 64)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 8))))) 128)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 8)))))) 256)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	0.4b	(.f64 (PI.f64) (.f64 angle 1/180))
✓	25.9b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
	26.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	inf	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	-inf	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	0	(.f64 (PI.f64) (.f64 angle 1/180))
0.0ms	angle	@	-inf	(.f64 (PI.f64) (.f64 angle 1/180))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`exponential.json-3`
1160×	`rational.json-1`
1160×	`rational.json-2`
1160×	`rational.json-4`
1160×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	68	34
2	153	34
3	328	34
4	668	34
5	1625	34
6	4183	34

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (PI.f64) (.f64 angle 1/180))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) (*.f64 2 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) (*.f64 -1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (PI.f64)) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (+.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (*.f64 (PI.f64) (-.f64 -1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) (+.f64 (*.f64 (PI.f64) -2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) (*.f64 (PI.f64) (*.f64 angle 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (+.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (*.f64 (PI.f64) (-.f64 2 (neg.f64 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) -1) (+.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) -1) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (PI.f64) -2)) (-.f64 1 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) (-.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (-.f64 -1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) -2) (*.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 angle 1/180)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (-.f64 2 (neg.f64 (*.f64 angle 1/180)))) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 angle 1/180) -2) 1)) (*.f64 (PI.f64) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/45 (*.f64 (PI.f64) angle)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2/45 (*.f64 (PI.f64) angle))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2/45 (*.f64 (PI.f64) angle)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2/45 (*.f64 (PI.f64) angle)))) (*.f64 2 (*.f64 2 (*.f64 2/45 (*.f64 (PI.f64) angle))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))) (neg.f64 (*.f64 2 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))))))

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-52`
1066×	`rational.json-simplify-2`
980×	`rational.json-simplify-51`
956×	`rational.json-simplify-35`
940×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1996
1	466	1996
2	1061	1996
3	3043	1996
4	6498	1996

Stop Event

1×	node limit

Counts

112 → 109

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 -1 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(+.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) -1)
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(-.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
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(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 -1 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 1/4 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) 2)
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(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
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Outputs
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(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 8) 8)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 8)) 16)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) -2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 8))) 32)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 2 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) -4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 8)))) 64)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))
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(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (*.f64 -1 (neg.f64 (PI.f64))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (*.f64 angle 1/180)))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 -1 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 -1 (+.f64 (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))) (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 -1 (+.f64 (-.f64 1 (PI.f64)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 -1 (PI.f64)) (+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (neg.f64 (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (+.f64 (*.f64 (PI.f64) -2) (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (*.f64 (PI.f64) 2))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) -1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))) (+.f64 (PI.f64) -1))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) -1))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (PI.f64))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 2 (neg.f64 (*.f64 angle 1/180)))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) -1) (+.f64 (PI.f64) 1))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) -1) (-.f64 1 (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (-.f64 1 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 0 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 1 (-.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (PI.f64))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (*.f64 (PI.f64) -2))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 angle 1/180)) 2)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))) (*.f64 (PI.f64) 2))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -2) 1)) (*.f64 (PI.f64) -3))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180))) -1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2/45 (.f64 (PI.f64) angle)) 8)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180)))) -2)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 2/45 (*.f64 (PI.f64) angle))) 16)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 2/45 (.f64 (PI.f64) angle)))) 32)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180))))) -4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (neg.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 (*.f64 angle 1/180))))) 2)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2/45 (.f64 (PI.f64) angle)))) (.f64 2 (.f64 2 (.f64 2/45 (.f64 (PI.f64) angle))))) 64)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180))))) (neg.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180)))))) 4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(neg.f64 (.f64 (PI.f64) (neg.f64 (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))

localize275.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (*.f64 a (PI.f64)) 2)
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	17.4b	(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
	26.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 95 to 60 computations (36.8% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
1.0ms	a	@	0	(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
0.0ms	a	@	inf	(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
0.0ms	angle	@	inf	(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
0.0ms	a	@	-inf	(pow.f64 (*.f64 a (PI.f64)) 2)

rewrite208.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2642×	`rational.json-simplify-35`
1530×	`rational.json-simplify-1`
1394×	`exponential.json-3`
1394×	`rational.json-1`
1394×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	75	36
2	167	36
3	346	36
4	663	36
5	1571	36
6	3620	36
7	5371	36
8	6323	36
9	7486	36
10	7486	36
11	7486	36

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 a (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2) (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 a 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 a a)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 a 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 4) (*.f64 (pow.f64 a 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (*.f64 (+.f64 a a) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (PI.f64) (+.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 1/2) (*.f64 2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2) (*.f64 2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (*.f64 a (PI.f64)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (*.f64 a (*.f64 (PI.f64) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 a 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 a 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a 4)) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 a a)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)))))) 256)))))

simplify379.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2442×	`rational.json-simplify-2`
2138×	`rational.json-simplify-35`
1792×	`rational.json-simplify-1`
1250×	`rational.json-simplify-41`
1110×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1905
1	283	1671
2	676	1665
3	1820	1665
4	3681	1665
5	5497	1665
6	5682	1665
7	5797	1665
8	5897	1665
9	5996	1665
10	7063	1665
11	7780	1665
12	7900	1665
13	7990	1665
14	7990	1665

Stop Event

1×	node limit

Counts

91 → 64

Calls

Call 1

Inputs
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 0)
(+.f64 0 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1/2))
(-.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 0)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)))))) 256)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(+.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)
(+.f64 0 (pow.f64 (*.f64 a (PI.f64)) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1/2) (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1/2))
(-.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)
(.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2))
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1)
(.f64 1 (pow.f64 (.f64 a (PI.f64)) 2))
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2))
(.f64 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) 1/2)
(.f64 4 (/.f64 (pow.f64 (.f64 a (PI.f64)) 2) 4))
(.f64 4 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 a 2) 1/2))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2) 1/4)
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/2))
(.f64 1/2 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (*.f64 (pow.f64 a 2) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (*.f64 (+.f64 a a) 1/4) 2))
(.f64 (.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(.f64 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2) 2)
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2))
(.f64 (.f64 (pow.f64 a 2) 1/2) (*.f64 2 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(.f64 16 (pow.f64 (/.f64 (.f64 a (PI.f64)) 4) 2))
(.f64 16 (pow.f64 (.f64 a (*.f64 (PI.f64) 1/4)) 2))
(.f64 (/.f64 (pow.f64 (.f64 a (PI.f64)) 2) 4) 4)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 a 2) 4))
(.f64 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4) 4)
(.f64 (.f64 (pow.f64 a 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 4))
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 a 1/4) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a 4)) 2) 1/16)
(/.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a (PI.f64)) 2)) 2)
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 a a)) 2) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8)))))) 256)

Outputs
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 0)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(+.f64 0 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1/2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(-.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 0)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2)) 2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 4) 4)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8) 8)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)) 16)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8))) 32)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)))) 64)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2) 8))))) 128)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 8)))))) 256)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(+.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)
(pow.f64 (*.f64 a (PI.f64)) 2)
(+.f64 0 (pow.f64 (*.f64 a (PI.f64)) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(+.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1/2) (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1/2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(-.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 0)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) 1)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 1 (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) 1/2)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 4 (/.f64 (pow.f64 (.f64 a (PI.f64)) 2) 4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 4 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 a 2) 1/2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2) 1/4)
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2))
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (*.f64 (pow.f64 a 2) 1/4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (*.f64 (+.f64 a a) 1/4) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (*.f64 (pow.f64 (+.f64 a a) 2) 1/16))
(.f64 (pow.f64 (PI.f64) 2) (.f64 4 (*.f64 1/16 (pow.f64 (+.f64 a a) 2))))
(.f64 4 (pow.f64 (.f64 (PI.f64) (*.f64 1/4 (+.f64 a a))) 2))
(.f64 (.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/2) 2)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2))
(.f64 (.f64 (pow.f64 a 2) 1/2) (*.f64 2 (pow.f64 (PI.f64) 2)))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 16 (pow.f64 (/.f64 (.f64 a (PI.f64)) 4) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (/.f64 a 4)) 2))
(.f64 16 (pow.f64 (.f64 a (*.f64 (PI.f64) 1/4)) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (/.f64 (pow.f64 (.f64 a (PI.f64)) 2) 4) 4)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 a 2) 4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1/4) 4)
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (.f64 (pow.f64 a 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 4))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 a 1/4) 2))
(pow.f64 (*.f64 a (PI.f64)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a 4)) 2) 1/16)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 1)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a (PI.f64)) 2)) 2)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 a a)) 2) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8) 8)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)) 16)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))) 32)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 8)))) 64)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))))) 128)
(pow.f64 (*.f64 a (PI.f64)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) 8)))))) 256)
(pow.f64 (*.f64 a (PI.f64)) 2)

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
	25.7b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	26.2b	(cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))

Compiler

Compiled 146 to 110 computations (24.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
0.0ms	angle	@	0	(+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))
0.0ms	angle	@	-inf	(cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
0.0ms	angle	@	inf	(cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
0.0ms	angle	@	inf	(+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`rational.json-1`
1718×	`rational.json-2`
1718×	`rational.json-3`
1176×	`rational.json-simplify-35`
848×	`exponential.json-3`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	107	62
2	205	56
3	405	54
4	836	54
5	2101	54
6	4223	50
7	6849	50

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
(+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))) 1/2) 1) (/.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (-.f64 (-.f64 -1 (*.f64 angle 1/180)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (+.f64 (+.f64 1 (*.f64 angle 1/180)) -1)))))))

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-2`
1082×	`rational.json-simplify-35`
1024×	`rational.json-simplify-1`
966×	`rational.json-simplify-26`
922×	`rational.json-simplify-45`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	162	2475
1	362	2387
2	967	2331
3	2229	2331
4	3752	2179
5	5239	1847
6	7010	1847
7	7643	1847

Stop Event

1×	node limit

Counts

87 → 96

Calls

Call 1

Inputs
(cos.f64 (PI.f64))
(+.f64 (.f64 -1/180 (.f64 angle (*.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64)))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64))))
(+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/180 (.f64 angle (*.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64)))))
(cos.f64 (.f64 (+.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(*.f64 -1 (cos.f64 (PI.f64)))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (.f64 -1 (cos.f64 (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (cos.f64 (PI.f64)))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (.f64 -1 (cos.f64 (PI.f64))))))
(.f64 -1 (cos.f64 (.f64 (+.f64 1 (*.f64 1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (+.f64 1 (*.f64 1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (+.f64 1 (*.f64 1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (+.f64 1 (*.f64 1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (-.f64 1 (*.f64 -1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (-.f64 1 (*.f64 -1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (-.f64 1 (*.f64 -1/180 angle)) (PI.f64))))
(.f64 -1 (cos.f64 (.f64 (-.f64 1 (*.f64 -1/180 angle)) (PI.f64))))
(+.f64 1 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1))
(+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 0)
(+.f64 -1 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))
(+.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(+.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1) 1)
(+.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))) -1)
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1/2))
(-.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 0)
(-.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1) -1)
(-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))) 1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 1)
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 4) 1/4)
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1/2) 2)
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) 4)
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 8)))) 64)
(pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) 1)
(-.f64 1 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))
(-.f64 -1 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1))
(-.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))) 1)
(-.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 0)
(-.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(-.f64 -2 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -2))
(-.f64 (-.f64 (.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))) 1/2) 1) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1) 2))
(.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -1)
(.f64 -1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 1)
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 4) 1/4)
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1/2) 2)
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1)
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) -2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) -4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8)))) 64)
(pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (-.f64 (-.f64 -1 (.f64 angle 1/180)) -1)))
(cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2)))
(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))))
(cos.f64 (.f64 (PI.f64) (+.f64 (+.f64 1 (.f64 angle 1/180)) -1)))

Outputs
(cos.f64 (PI.f64))
-1
(+.f64 (.f64 -1/180 (.f64 angle (*.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64)))
-1
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1/2) 2)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))) -1)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2) 2)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 2) -2)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 4) 4)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) 4) -4)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8) 8)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8)) 16)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 2))) 8))) 32)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 8)))) 64)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))) 1)
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 (PI.f64) (-.f64 (-.f64 -1 (.f64 angle 1/180)) -1)))
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2)))
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 2))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 (PI.f64) (+.f64 (+.f64 1 (.f64 angle 1/180)) -1)))
(neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

eval457.0ms (2.5%)

Compiler: Compiled 25630 to 18826 computations (26.5% saved)

prune277.0ms (1.5%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	913	23	936
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	925	28	953

Error

21.5b

Counts

953 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 1/180 angle))) 2) (pow.f64 (.f64 b 1) 2))
	31.1b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 -2 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))) 2))
	26.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (*.f64 -1 (cos.f64 (PI.f64))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 -1/180 angle))))) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
	35.4b	(+.f64 (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (.f64 angle (PI.f64)) 4) -1/3149280000)) (.f64 (pow.f64 angle 6) (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 a 2)) 1/765275040000000)))) (.f64 (pow.f64 angle 8) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) -1/347128758144000000000))) (pow.f64 (*.f64 b 1) 2))
	29.5b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	29.5b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
▶	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
▶	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.4b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	34.5b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 1325 to 1082 computations (18.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 angle (.f64 (PI.f64) 1/180))
✓	0.3b	(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
✓	25.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series6.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
0.0ms	angle	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
0.0ms	angle	@	0	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
0.0ms	angle	@	0	(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
0.0ms	angle	@	-inf	(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))

rewrite120.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`rational.json-1`
1116×	`rational.json-simplify-35`
1046×	`exponential.json-3`
1046×	`rational.json-2`
1046×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	96	90
2	207	90
3	424	90
4	851	90
5	2097	90
6	4690	90
7	7741	90

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 2 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 1/2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (.f64 (PI.f64) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))) (.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) -1) (+.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) 1) (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) -1) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (.f64 angle 1/180)))) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (-.f64 1 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) 1/180)) (-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (-.f64 (.f64 (PI.f64) -3) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 (neg.f64 (.f64 angle 1/180)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -2) 1)) (.f64 (PI.f64) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 (PI.f64)) (*.f64 angle 1/180)))))))

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational.json-simplify-35`
1058×	`rational.json-simplify-2`
1012×	`rational.json-simplify-42`
922×	`rational.json-simplify-1`
824×	`rational.json-simplify-45`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	344	5235
1	749	5097
2	1831	5097
3	3885	5097
4	7052	5097

Stop Event

1×	node limit

Counts

203 → 185

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
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(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))) 16)
(/.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (*.f64 angle 1/180)))) -2)
(/.f64 (.f64 2 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/45))))) 32)
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (*.f64 angle 1/180))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180)))))) 4)
(pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)
(neg.f64 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
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(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 1/180 (PI.f64)))))
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(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
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(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
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(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 8) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 8)) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 8))) 32)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 8)))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(+.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 0 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a))
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 1/2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 1/2)))
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(-.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8) 8)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 8)) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8))) 32)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 8)))) 64)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)
(.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 0 (.f64 angle (.f64 (PI.f64) 1/180)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (*.f64 angle 1/180)))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -2)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 -1 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (*.f64 (PI.f64) 2))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))) -1)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))) (+.f64 (PI.f64) -1))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) -1))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))) (*.f64 (PI.f64) -2))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 2 (neg.f64 (*.f64 angle 1/180)))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) -1) (+.f64 (PI.f64) 1))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 (PI.f64) 1) (+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) -1))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) -1) (-.f64 1 (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (.f64 angle 1/180)))) (*.f64 (PI.f64) 1/2))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (-.f64 1 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) (-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 0 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 1 (-.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (PI.f64))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (*.f64 (PI.f64) -2))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (+.f64 1 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 angle 1/180)))) (*.f64 (PI.f64) 2))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 angle 1/180)) 2)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -2) 1)) (*.f64 (PI.f64) -3))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)) -1)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/45))) 8)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))) 16)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (*.f64 angle 1/180)))) -2)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 2 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) -4)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/45))))) 32)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (*.f64 angle 1/180))))) 2)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/45)))))) 64)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180))))) (neg.f64 (.f64 (PI.f64) (.f64 2 (neg.f64 (.f64 angle 1/180)))))) 4)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(neg.f64 (.f64 (neg.f64 (PI.f64)) (.f64 angle 1/180)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))
✓	0.2b	(.f64 (.f64 (PI.f64) a) angle)
	0.3b	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
	0.3b	(*.f64 (PI.f64) a)

Compiler

Compiled 57 to 30 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))
0.0ms	angle	@	0	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))
0.0ms	a	@	inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))
0.0ms	angle	@	inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))
0.0ms	a	@	-inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`rational.json-simplify-35`
1644×	`rational.json-1`
1644×	`rational.json-2`
1644×	`rational.json-3`
1176×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	80	42
2	171	42
3	368	42
4	750	42
5	1878	42
6	4285	42
7	6178	42
8	7343	42

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 (.f64 (PI.f64) a) angle)
(.f64 1/32400 (pow.f64 (.f64 (*.f64 (PI.f64) a) angle) 2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/64800) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/64800))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 1/16200 (pow.f64 (*.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 a angle)) 2)) 1)))))

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2374×	`rational.json-simplify-2`
2134×	`rational.json-simplify-35`
2054×	`exponential.json-simplify-26`
1472×	`rational.json-simplify-1`
988×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	1776
1	204	1584
2	456	1584
3	1243	1584
4	2748	1584
5	4243	1584
6	4952	1584
7	5527	1584
8	5945	1584
9	5948	1584
10	7872	1584

Stop Event

1×	node limit

Counts

74 → 35

Calls

Call 1

Inputs
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (PI.f64) (.f64 a angle)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 a angle)))
(+.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 1/2))) (.f64 (PI.f64) (.f64 a (.f64 angle 1/2))))
(-.f64 (.f64 (PI.f64) (.f64 a angle)) 0)
(/.f64 (.f64 (PI.f64) (.f64 a angle)) 1)
(/.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2)
(/.f64 (.f64 (PI.f64) (.f64 angle (*.f64 a 4))) 4)
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 a angle)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (*.f64 a angle)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8))))) 128)
(pow.f64 (.f64 (PI.f64) (.f64 a angle)) 1)
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 0)
(+.f64 0 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/64800))
(-.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 0)
(/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 1)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1/8100) 4)
(/.f64 (.f64 1/16200 (pow.f64 (.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)) 8)
(/.f64 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2)))))) 128)
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 1)

Outputs
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(+.f64 (.f64 (PI.f64) (.f64 a angle)) 0)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 a angle)))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 1/2))) (.f64 (PI.f64) (.f64 a (.f64 angle 1/2))))
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 a angle)) 0)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 a angle)) 1)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle (*.f64 a 4))) 4)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 a angle)) 8) 8)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)) 16)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (*.f64 a angle)) 8))) 32)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)))) 64)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 a angle)) 8))))) 128)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 a angle)) 1)
(.f64 a (.f64 (PI.f64) angle))
(.f64 angle (.f64 a (PI.f64)))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 0)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(+.f64 0 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2) 1/64800))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(-.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 0)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 1)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1/16200) 2)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2) 1/8100) 4)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(/.f64 (.f64 1/16200 (pow.f64 (.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)) 8)
(.f64 (pow.f64 (.f64 (*.f64 a (PI.f64)) (+.f64 angle angle)) 2) 1/129600)
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 2 (PI.f64)))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 2))) 2) 1/129600)
(/.f64 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))) 16)
(.f64 (pow.f64 (.f64 (*.f64 a (PI.f64)) (+.f64 angle angle)) 2) 1/129600)
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 2 (PI.f64)))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 2))) 2) 1/129600)
(/.f64 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (*.f64 (PI.f64) a) (+.f64 angle angle)) 2)))) 32)
(.f64 (pow.f64 (.f64 (*.f64 a (PI.f64)) (+.f64 angle angle)) 2) 1/129600)
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 2 (PI.f64)))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 2))) 2) 1/129600)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) 64)
(.f64 (pow.f64 (.f64 (*.f64 a (PI.f64)) (+.f64 angle angle)) 2) 1/129600)
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 2 (PI.f64)))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 2))) 2) 1/129600)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 1/16200 (pow.f64 (.f64 (.f64 (PI.f64) a) (+.f64 angle angle)) 2)))))) 128)
(.f64 (pow.f64 (.f64 (*.f64 a (PI.f64)) (+.f64 angle angle)) 2) 1/129600)
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 2 (PI.f64)))) 2) 1/129600)
(.f64 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 2))) 2) 1/129600)
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)) 1)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
	0.4b	(.f64 (PI.f64) (.f64 angle 1/180))
	25.9b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
0.0ms	angle	@	0	(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
0.0ms	a	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
0.0ms	angle	@	inf	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
0.0ms	a	@	inf	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-1`
1114×	`rational.json-simplify-35`
1052×	`exponential.json-3`
1052×	`rational.json-2`
1052×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	96	56
2	207	56
3	422	56
4	849	56
5	2090	56
6	4691	56
7	7775	56

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
(.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2) (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 a 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) (*.f64 (pow.f64 a 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 a 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) (*.f64 (pow.f64 a 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 1/2) (*.f64 2 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2) (*.f64 2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 1/4) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/4) (*.f64 (pow.f64 a 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 a 1/2)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8)))) 64)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 a 1/2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))))

simplify209.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1936×	`rational.json-simplify-2`
1878×	`rational.json-simplify-35`
1354×	`exponential.json-simplify-26`
1012×	`rational.json-simplify-48`
1006×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	3309
1	373	3135
2	851	3135
3	2193	3135
4	3450	3135
5	4481	3135
6	4911	3135
7	5347	3135
8	5981	3135
9	7581	3135

Stop Event

1×	node limit

Counts

95 → 86

Calls

Call 1

Inputs
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/396718580736000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))) (.f64 -1/2777030065152000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))))))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 a (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(+.f64 0 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2) (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2))
(-.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2))
(.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1)
(.f64 1 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) (pow.f64 a 2))
(.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 1/2)
(.f64 4 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4))
(.f64 4 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 a 1/2)) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) (*.f64 (pow.f64 a 2) 1/2))
(.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4) 1/4)
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4) (*.f64 (pow.f64 a 2) 1/4))
(.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/4))
(.f64 1/4 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4))
(.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(.f64 16 (pow.f64 (/.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 4) 2))
(.f64 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4) 4)
(.f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/4) (*.f64 (pow.f64 a 2) 4))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 a 1/2)) 2) 4)
(.f64 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 2) 1/16)
(/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8)))) 64)
(+.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(+.f64 0 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 a 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 a 1/2)))
(-.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(/.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 a a)) 2)
(/.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(/.f64 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8)))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)

Outputs
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 angle 4)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000)) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/2040733440000000)))) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 angle 4))))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 6) (.f64 (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) 1/765275040000000))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) (*.f64 1/765275040000000 (pow.f64 angle 6)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 6) (.f64 (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) 1/765275040000000))))
(+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/396718580736000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))) (.f64 -1/2777030065152000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))))))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 angle 4)))) (+.f64 (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000)) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/2040733440000000))))) (.f64 (pow.f64 angle 8) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 8) -1/396718580736000000000)) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 8) -1/2777030065152000000000))))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 6) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) 1/765275040000000))) (.f64 (pow.f64 angle 8) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) -1/347128758144000000000))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) (.f64 1/765275040000000 (pow.f64 angle 6))) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) (.f64 -1/347128758144000000000 (pow.f64 angle 8))))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) (.f64 1/765275040000000 (pow.f64 angle 6))) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) (.f64 -1/347128758144000000000 (pow.f64 angle 8))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)) 1/765275040000000)) (.f64 (pow.f64 angle 8) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) -1/347128758144000000000)))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 angle (.f64 (*.f64 a (PI.f64)) 1/180))
(.f64 a (.f64 1/180 (*.f64 angle (PI.f64))))
(.f64 (.f64 angle (PI.f64)) (*.f64 1/180 a))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))))
(+.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) (.f64 -1/34992000 (.f64 a (.f64 (pow.f64 (PI.f64) 3) (pow.f64 angle 3)))))
(+.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (.f64 -1/34992000 a)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 a (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) (+.f64 (.f64 (pow.f64 angle 5) (.f64 (.f64 a (pow.f64 (PI.f64) 5)) 1/22674816000000)) (.f64 -1/34992000 (.f64 a (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 angle 3))))))
(+.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 a (.f64 (pow.f64 (*.f64 angle (PI.f64)) 5) 1/22674816000000))))
(+.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) (+.f64 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (.f64 -1/34992000 a)) (.f64 a (.f64 1/22674816000000 (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 a (.f64 1/22674816000000 (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))))))
(+.f64 (.f64 -1/34992000 (.f64 a (.f64 (pow.f64 (PI.f64) 3) (pow.f64 angle 3)))) (+.f64 (+.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) (.f64 (pow.f64 angle 5) (.f64 (.f64 a (pow.f64 (PI.f64) 5)) 1/22674816000000))) (.f64 -1/30855889612800000000 (.f64 a (.f64 (pow.f64 (PI.f64) 7) (pow.f64 angle 7))))))
(+.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (+.f64 (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) 1/22674816000000))) (.f64 a (.f64 (pow.f64 (.f64 angle (PI.f64)) 7) -1/30855889612800000000))))
(+.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) (+.f64 (.f64 a (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7))) (+.f64 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (.f64 -1/34992000 a)) (.f64 a (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))))))
(+.f64 (.f64 -1/34992000 (.f64 a (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (+.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 a (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)))) (.f64 a (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(+.f64 0 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(+.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2) (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(-.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 1 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) (pow.f64 a 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 1/2)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 4 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 4 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 a 1/2)) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) (*.f64 (pow.f64 a 2) 1/2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4) 1/4)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4) (*.f64 (pow.f64 a 2) 1/4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 1/4 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 16 (pow.f64 (/.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 4) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/4) (*.f64 (pow.f64 a 2) 4))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 a 1/2)) 2) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 2) 1/16)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 8)) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8))) 32)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 8)))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(+.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 0 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 a 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 a 1/2)))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 a a)) 2)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8) 8)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 8)) 16)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8))) 32)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 8)))) 64)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (PI.f64) a) angle)
	0.3b	(pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)
	0.3b	(*.f64 (PI.f64) a)
✓	26.0b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 86 to 48 computations (44.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
0.0ms	angle	@	inf	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
0.0ms	angle	@	-inf	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

rewrite124.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`rational.json-1`
1374×	`rational.json-2`
1314×	`exponential.json-3`
1314×	`rational.json-4`
1314×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	68	19
2	154	19
3	338	19
4	748	19
5	2090	19
6	4550	19
7	6828	19
8	7942	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))))

simplify259.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1998×	`rational.json-simplify-42`
1704×	`rational.json-simplify-45`
1458×	`rational.json-simplify-52`
1298×	`rational.json-simplify-35`
1148×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	730
1	159	730
2	383	730
3	983	730
4	1600	730
5	2283	730
6	2607	730
7	2744	730
8	2885	730
9	3022	730
10	3461	730
11	3867	730
12	5227	730
13	5361	730
14	5481	730
15	5567	730
16	7835	730

Stop Event

1×	node limit

Counts

34 → 37

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) 2)
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)))) 64)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)

Outputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)))) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6))))
(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 1 (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2) 1/2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4) 1/4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)) 16)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)))) 64)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
	0.4b	(.f64 (PI.f64) (.f64 angle 1/180))
	25.7b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	26.1b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	-inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational.json-1`
1330×	`exponential.json-3`
1330×	`rational.json-2`
1330×	`rational.json-4`
1330×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	68	19
2	154	19
3	338	19
4	748	19
5	2087	19
6	4566	19
7	6878	19
8	8000	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))) 1)))))

simplify259.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1998×	`rational.json-simplify-42`
1704×	`rational.json-simplify-45`
1458×	`rational.json-simplify-52`
1298×	`rational.json-simplify-35`
1148×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	730
1	159	730
2	383	730
3	983	730
4	1600	730
5	2283	730
6	2607	730
7	2744	730
8	2885	730
9	3022	730
10	3461	730
11	3867	730
12	5227	730
13	5361	730
14	5481	730
15	5567	730
16	7835	730

Stop Event

1×	node limit

Counts

34 → 37

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) 2)
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)))) 64)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)

Outputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)))) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6))))
(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 1 (+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6)))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2) 1/2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4) 1/4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 4))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1/2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8) 8)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)) 16)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))) 8))) 32)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 8)))) 64)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

eval358.0ms (2%)

Compiler: Compiled 20141 to 14761 computations (26.7% saved)

prune754.0ms (4.2%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	800	11	811
Fresh	7	15	22
Picked	0	1	1
Done	1	4	5
Total	808	31	839

Error

21.5b

Counts

839 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(+.f64 (pow.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) 2) (pow.f64 (.f64 b 1) 2))
▶	27.4b	(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 1/180 angle))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 -2 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))) 2))
	26.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (*.f64 -1 (cos.f64 (PI.f64))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 -1/180 angle))))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
▶	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
	35.4b	(+.f64 (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (.f64 angle (PI.f64)) 4) -1/3149280000)) (.f64 (pow.f64 angle 6) (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 a 2)) 1/765275040000000)))) (.f64 (pow.f64 angle 8) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) -1/347128758144000000000))) (pow.f64 (*.f64 b 1) 2))
	29.5b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
▶	29.5b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))) 2))
✓	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
▶	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
	34.5b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 1328 to 1091 computations (17.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 angle (PI.f64))
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
✓	25.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 66 to 40 computations (39.4% saved)

series2.0ms (0%)

Counts

4 → 28

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
0.0ms	angle	@	-inf	(*.f64 angle (PI.f64))
0.0ms	angle	@	0	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
0.0ms	a	@	0	(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
0.0ms	angle	@	-inf	(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`rational.json-1`
1748×	`rational.json-2`
1108×	`rational.json-simplify-35`
1010×	`exponential.json-3`
1010×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	96	74
2	207	74
3	422	74
4	837	74
5	2047	74
6	4552	74
7	7589	74

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(*.f64 angle (PI.f64))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/180 (.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1/2 (-.f64 1 (.f64 1/180 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 1/180 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) 1/360)) (.f64 angle (.f64 (PI.f64) 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/180 (.f64 angle (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 1/180 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (-.f64 (.f64 (PI.f64) -3) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 (neg.f64 (.f64 1/180 angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 angle)))) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 1/180 angle) -2) 1)) (.f64 (PI.f64) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 (PI.f64)) (*.f64 1/180 angle)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (.f64 angle (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 angle (PI.f64)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (PI.f64)) 1)))))

simplify264.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational.json-simplify-35`
992×	`exponential.json-simplify-26`
982×	`rational.json-simplify-2`
930×	`rational.json-simplify-42`
874×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	4047
1	684	3885
2	1699	3885
3	3589	3849
4	6742	3849

Stop Event

1×	node limit

Counts

159 → 175

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 8)))) 64)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)
(neg.f64 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 0)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2))
(+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 1/2) (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 1/2))
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 0)
(.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 1/2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 a 2))
(.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2)) 1/2)
(.f64 4 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 4))
(.f64 4 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 a 1/2)) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) 1/2))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 4) 1/4)
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 4) (*.f64 (pow.f64 a 2) 1/4))
(.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/4))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 1/2) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2) (*.f64 2 (pow.f64 a 2)))
(.f64 1/4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 4))
(.f64 16 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 4) 2))
(.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/4) (*.f64 (pow.f64 a 2) 4))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 a 1/2)) 2) 4)
(.f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 a 4)) 2) 1/16)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) a) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) a) 2) 8) 8)
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(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)))
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(+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) (neg.f64 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (*.f64 (PI.f64) 2))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/360)) (.f64 angle (.f64 (PI.f64) 1/360)))
(+.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) -1))
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(+.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 angle)))) (*.f64 (PI.f64) -2))
(+.f64 (+.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)) -1) (+.f64 (PI.f64) 1))
(+.f64 (+.f64 (PI.f64) 1) (+.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -1)) -1))
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(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
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(-.f64 0 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))
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(-.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 angle)))) (*.f64 (PI.f64) 2))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 1/180 angle) -2) 1)) (*.f64 (PI.f64) -3))
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(/.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (*.f64 1/180 angle))) -2)
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(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) -4)
(/.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (*.f64 1/180 angle)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle))))) 4)
(pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(neg.f64 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))
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(-.f64 (*.f64 angle (PI.f64)) 0)
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(/.f64 (.f64 angle (.f64 (PI.f64) 2)) 2)
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(pow.f64 (*.f64 angle (PI.f64)) 1)

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
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(+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7))) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) (-.f64 2 (*.f64 1/180 angle))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 1/180 angle))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 1 (.f64 1/180 angle))) (PI.f64))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (*.f64 (PI.f64) -2))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 1/180 angle) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (PI.f64)))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (-.f64 (neg.f64 (*.f64 1/180 angle)) 2)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (-.f64 2 (neg.f64 (.f64 1/180 angle)))) (*.f64 (PI.f64) 2))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 1/180 angle) -2) 1)) (*.f64 (PI.f64) -3))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)) -1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 4) 8)
(.f64 4 (/.f64 (.f64 angle (*.f64 1/90 (PI.f64))) 8))
(.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) 1/2)
(.f64 1/2 (.f64 angle (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)) 16)
(.f64 4 (/.f64 (.f64 angle (*.f64 1/90 (PI.f64))) 8))
(.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) 1/2)
(.f64 1/2 (.f64 angle (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (*.f64 1/180 angle))) -2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 4))) 32)
(.f64 4 (/.f64 (.f64 angle (*.f64 1/90 (PI.f64))) 8))
(.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) 1/2)
(.f64 1/2 (.f64 angle (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) -4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (*.f64 1/180 angle)))) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)))) 64)
(.f64 4 (/.f64 (.f64 angle (*.f64 1/90 (PI.f64))) 8))
(.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) 1/2)
(.f64 1/2 (.f64 angle (*.f64 (PI.f64) 1/90)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))) (neg.f64 (.f64 2 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle))))) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(neg.f64 (.f64 (neg.f64 (PI.f64)) (.f64 1/180 angle)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(+.f64 0 (*.f64 angle (PI.f64)))
(*.f64 angle (PI.f64))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (.f64 angle (.f64 (PI.f64) 1/2)))
(*.f64 angle (PI.f64))
(-.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(/.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 (PI.f64) 2)) 2)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 angle (PI.f64)) 8) 8)
(*.f64 angle (PI.f64))
(/.f64 (.f64 2 (.f64 (*.f64 angle (PI.f64)) 8)) 16)
(*.f64 angle (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8))) 32)
(*.f64 angle (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 angle (PI.f64)) 8)))) 64)
(*.f64 angle (PI.f64))
(pow.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
✓	0.3b	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
✓	0.3b	(*.f64 (PI.f64) angle)
✓	0.3b	(.f64 a (.f64 (PI.f64) angle))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series2.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 a (.f64 (PI.f64) angle))
0.0ms	angle	@	-inf	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
0.0ms	a	@	0	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
0.0ms	a	@	-inf	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
0.0ms	angle	@	inf	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`rational.json-simplify-35`
1710×	`rational.json-1`
1710×	`rational.json-2`
1222×	`exponential.json-3`
1222×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	82	72
2	184	72
3	397	72
4	786	72
5	1958	72
6	4466	72
7	6385	72
8	7630	72

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

Inputs
(.f64 a (.f64 (PI.f64) angle))
(*.f64 (PI.f64) angle)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 (PI.f64) angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 (PI.f64) angle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 (PI.f64) (/.f64 angle 2))) (.f64 a (.f64 (PI.f64) (/.f64 angle 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 (PI.f64) angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (PI.f64) angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 (.f64 a angle) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) angle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) angle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (/.f64 angle 2)) (.f64 (PI.f64) (/.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) angle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) angle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) angle) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) angle) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 2) (pow.f64 (.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 a angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)) (.f64 (pow.f64 a 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (PI.f64)) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (.f64 a angle) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 angle 2) 2) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4) (.f64 (pow.f64 a 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 angle 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (.f64 (PI.f64) (/.f64 angle 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 a (PI.f64)) 2)) (/.f64 (pow.f64 angle 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (pow.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2) (.f64 2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (pow.f64 (/.f64 (.f64 a (.f64 (PI.f64) angle)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (pow.f64 (.f64 (.f64 a angle) (.f64 (PI.f64) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (PI.f64) (.f64 a 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (.f64 a (PI.f64)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a angle) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (.f64 a angle) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 (.f64 a (+.f64 angle angle)) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (.f64 a angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 angle 2) 2) (.f64 2 (pow.f64 (.f64 a (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 a angle) 2) 2) (.f64 2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (.f64 a angle) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (/.f64 angle 2)) 2) (.f64 (pow.f64 a 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (.f64 (.f64 a angle) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 a angle) 4)) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2) (.f64 (pow.f64 angle 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 8))))) 128)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 1)))))

simplify393.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2854×	`rational.json-simplify-35`
2484×	`rational.json-simplify-2`
2074×	`rational.json-simplify-53`
910×	`exponential.json-simplify-26`
714×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3619
1	497	3587
2	1409	3573
3	2778	3573
4	3962	3573
5	4674	3573
6	5129	3573
7	5556	3573
8	5907	3573
9	6630	3573
10	6650	3573
11	6650	3573
12	7515	3573
13	7720	3573
14	7880	3573

Stop Event

1×	node limit

Counts

181 → 121

Calls

Call 1

Inputs
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 a (.f64 (PI.f64) angle)) 0)
(+.f64 0 (.f64 a (.f64 (PI.f64) angle)))
(+.f64 (.f64 a (.f64 (PI.f64) (/.f64 angle 2))) (.f64 a (.f64 (PI.f64) (/.f64 angle 2))))
(-.f64 (.f64 a (.f64 (PI.f64) angle)) 0)
(/.f64 (.f64 a (.f64 (PI.f64) angle)) 1)
(/.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2)
(/.f64 (.f64 (PI.f64) (.f64 (*.f64 a angle) 4)) 4)
(/.f64 (.f64 (.f64 a (*.f64 (PI.f64) angle)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (*.f64 (PI.f64) angle)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 (PI.f64) angle)) 8))))) 128)
(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 1)
(+.f64 (*.f64 (PI.f64) angle) 0)
(+.f64 0 (*.f64 (PI.f64) angle))
(+.f64 (.f64 (PI.f64) (/.f64 angle 2)) (.f64 (PI.f64) (/.f64 angle 2)))
(-.f64 (*.f64 (PI.f64) angle) 0)
(/.f64 (*.f64 (PI.f64) angle) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(/.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)
(/.f64 (.f64 (.f64 (PI.f64) angle) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) angle) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (PI.f64) angle) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) angle) 8))))) 128)
(pow.f64 (*.f64 (PI.f64) angle) 1)
(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 0)
(+.f64 0 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2))
(-.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 0)
(.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2))
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1)
(.f64 1 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
(.f64 (pow.f64 a 2) (pow.f64 (.f64 (PI.f64) angle) 2))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))
(.f64 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) 1/2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 a angle) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))
(.f64 4 (/.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 4))
(.f64 4 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)) (.f64 (pow.f64 a 2) 1/2))
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a (+.f64 angle angle))) 2) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) (pow.f64 angle 2))
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (*.f64 a angle) 2) 2))
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 angle 2) 2) (pow.f64 a 2)))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4) (.f64 (pow.f64 a 2) 1/4))
(.f64 (.f64 2 (pow.f64 (*.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))
(.f64 (.f64 2 (pow.f64 angle 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 a 2)))
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 (PI.f64) (/.f64 angle 2)) 2))
(.f64 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) (/.f64 (pow.f64 angle 2) 2))
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (*.f64 a (+.f64 angle angle))) 2))
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2) (.f64 2 (pow.f64 a 2)))
(.f64 16 (pow.f64 (/.f64 (.f64 a (*.f64 (PI.f64) angle)) 4) 2))
(.f64 16 (pow.f64 (.f64 (.f64 a angle) (.f64 (PI.f64) 1/4)) 2))
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (PI.f64) (.f64 a 1/2)) 2))
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (.f64 a (PI.f64)) 1/2) 2))
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (.f64 a angle) 2) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 (.f64 a (+.f64 angle angle)) 1/4) 2))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (*.f64 a angle) 2)))
(.f64 (/.f64 (pow.f64 angle 2) 2) (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)))
(.f64 (/.f64 (pow.f64 (.f64 a angle) 2) 2) (*.f64 2 (pow.f64 (PI.f64) 2)))
(.f64 (/.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 4) 4)
(.f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (.f64 a angle) 2) 4))
(.f64 (pow.f64 (.f64 (PI.f64) (/.f64 angle 2)) 2) (*.f64 (pow.f64 a 2) 4))
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4) 4)
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 4))
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (.f64 (.f64 a angle) 1/4) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 a angle) 4)) 2) 1/16)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2) (*.f64 (pow.f64 angle 2) 1/4))
(/.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2)) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8))))) 128)
(+.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 0)
(+.f64 0 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400))
(+.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))
(-.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 0)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 1)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(/.f64 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))))) 128)
(pow.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 1)

Outputs
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle a))
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(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 a angle) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 4 (/.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 4 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)) (.f64 (pow.f64 a 2) 1/2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a (+.f64 angle angle))) 2) 1/4)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) (pow.f64 angle 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (*.f64 a angle) 2) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 angle 2) 2) (pow.f64 a 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4) (.f64 (pow.f64 a 2) 1/4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 a angle) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 2 (pow.f64 angle 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (pow.f64 a 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 (PI.f64) (/.f64 angle 2)) 2))
(.f64 4 (pow.f64 (.f64 a (*.f64 (PI.f64) (/.f64 angle 2))) 2))
(pow.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 2)) (+.f64 a a)) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)) (/.f64 (pow.f64 angle 2) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (*.f64 a (+.f64 angle angle))) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/2) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 a 2) 1/2) (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/2) (.f64 2 (pow.f64 a 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 16 (pow.f64 (/.f64 (.f64 a (*.f64 (PI.f64) angle)) 4) 2))
(.f64 16 (pow.f64 (.f64 (*.f64 angle (PI.f64)) (/.f64 a 4)) 2))
(.f64 16 (pow.f64 (.f64 angle (/.f64 (*.f64 a (PI.f64)) 4)) 2))
(.f64 16 (pow.f64 (.f64 (.f64 a angle) (.f64 (PI.f64) 1/4)) 2))
(.f64 16 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 1/4)) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 1/4))) 2))
(.f64 16 (.f64 1/16 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)))
(.f64 16 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2) 1/16))
(.f64 16 (.f64 (pow.f64 (.f64 a (.f64 angle (PI.f64))) 2) 1/16))
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (PI.f64) (.f64 a 1/2)) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (.f64 a (PI.f64)) 1/2) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 1/4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (.f64 a angle) 2) 1/4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 (.f64 a (+.f64 angle angle)) 1/4) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (*.f64 a angle) 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (/.f64 (pow.f64 angle 2) 2) (.f64 2 (pow.f64 (*.f64 a (PI.f64)) 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (/.f64 (pow.f64 (.f64 a angle) 2) 2) (*.f64 2 (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (/.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 4) 4)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 a 2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (.f64 a angle) 2) 4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (/.f64 angle 2)) 2) (*.f64 (pow.f64 a 2) 4))
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 (PI.f64) (/.f64 angle 2)) 2))
(.f64 4 (pow.f64 (.f64 a (*.f64 (PI.f64) (/.f64 angle 2))) 2))
(pow.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 2)) (+.f64 a a)) 2)
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/4) 4)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (.f64 (.f64 a angle) 1/4) 2))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 a angle) 4)) 2) 1/16)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 a a)) 2) (*.f64 (pow.f64 angle 2) 1/4))
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2)) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (+.f64 angle angle))) 2) 4)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 8) 8)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)) 16)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 8))) 32)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) 64)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 8))))) 128)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)
(+.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 0)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(+.f64 0 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400))
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(-.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 0)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 1)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8) 8)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 8)) 16)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))) 32)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 8)))) 64)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 8))))) 128)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400) 1)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 1/180 angle))
✓	0.2b	(pow.f64 (.f64 (PI.f64) (.f64 a (*.f64 1/180 angle))) 2)
✓	0.3b	(*.f64 1/180 angle)
✓	0.3b	(.f64 (PI.f64) (.f64 a (*.f64 1/180 angle)))

Compiler

Compiled 57 to 39 computations (31.6% saved)

series8.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	inf	(.f64 (PI.f64) (.f64 a (*.f64 1/180 angle)))
1.0ms	a	@	0	(.f64 a (.f64 1/180 angle))
0.0ms	angle	@	0	(.f64 a (.f64 1/180 angle))
0.0ms	a	@	inf	(.f64 a (.f64 1/180 angle))
0.0ms	angle	@	inf	(.f64 a (.f64 1/180 angle))

rewrite209.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`
1370×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	84	68
2	203	68
3	467	68
4	969	68
5	2214	68
6	4809	68
7	7128	68
8	7787	68
9	7787	68
10	7787	68

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(.f64 (PI.f64) (.f64 a (*.f64 1/180 angle)))
(*.f64 1/180 angle)
(pow.f64 (.f64 (PI.f64) (.f64 a (*.f64 1/180 angle))) 2)
(.f64 a (.f64 1/180 angle))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 1/45))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/180 angle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/180 angle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle 1/360) (.f64 angle 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/180 angle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/180 angle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle 1/90) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle 1/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/90 (.f64 angle 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 1/90 (.f64 angle 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/180 angle) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (pow.f64 (.f64 a angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/32400 (pow.f64 (.f64 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(.f64 (pow.f64 (.f64 a angle) 2) 1/64800))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/16200) (.f64 (pow.f64 (PI.f64) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/16200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) (.f64 a 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 angle 2) (pow.f64 (.f64 a (.f64 (PI.f64) 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 angle 2) (pow.f64 (.f64 1/180 (.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) a) 2) (.f64 1/32400 (pow.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 a 2) 1/32400) (pow.f64 (.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 a angle) 2)) (.f64 1/64800 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 a 2)) (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 a 2)) (.f64 (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 angle 2) 1/16200) (.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200) (/.f64 (pow.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)) (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) 1/64800)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 1/32400) (pow.f64 (.f64 a angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 a 1/180)) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (.f64 a angle) 2) 1/16200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/64800) (.f64 2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16200 (.f64 (/.f64 (pow.f64 (.f64 a angle) 2) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) angle) 2) (.f64 (pow.f64 a 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 a 2) 1/16200) (.f64 (/.f64 (pow.f64 angle 2) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 angle 2)) (.f64 (/.f64 (.f64 (pow.f64 a 2) 1/16200) 4) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 a 2) 2) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2) (.f64 2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2) (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/64800 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/360) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 a (.f64 angle 1/90)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 2) 2) (pow.f64 (.f64 a (.f64 angle 1/360)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 angle 1/360)) 2) (pow.f64 (.f64 (PI.f64) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 angle 1/90)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 (PI.f64) 1/180)) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 1/180 (.f64 (PI.f64) a)) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/360) 2) (pow.f64 (+.f64 a a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2) (pow.f64 (.f64 a 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 8)))) 64)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 1/180 angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 1/180 angle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 angle 1/360)) (.f64 a (.f64 angle 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 1/180 angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 1/180 angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 angle 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 angle 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/90 (.f64 angle (.f64 a 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 1/180 angle)) 1)))))

simplify345.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3050×	`rational.json-simplify-35`
2680×	`rational.json-simplify-53`
1378×	`rational.json-simplify-49`
1052×	`rational.json-simplify-2`
762×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	3819
1	571	3819
2	1286	3819
3	3573	3819
4	5295	3819
5	6325	3819
6	6461	3819
7	6476	3819
8	6482	3819
9	6484	3819
10	7164	3819

Stop Event

1×	node limit

Counts

177 → 115

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(.f64 1/180 (.f64 angle a))
(+.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 0)
(+.f64 0 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))))
(+.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)))
(-.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 0)
(/.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 1)
(/.f64 (.f64 a (.f64 (*.f64 (PI.f64) angle) 1/90)) 2)
(/.f64 (.f64 (PI.f64) (.f64 a (*.f64 angle 1/45))) 4)
(/.f64 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 8)))) 64)
(pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 1)
(+.f64 (*.f64 1/180 angle) 0)
(+.f64 0 (*.f64 1/180 angle))
(+.f64 (.f64 angle 1/360) (.f64 angle 1/360))
(-.f64 (*.f64 1/180 angle) 0)
(/.f64 (*.f64 1/180 angle) 1)
(/.f64 (*.f64 angle 1/90) 2)
(/.f64 (*.f64 angle 1/45) 4)
(/.f64 (.f64 1/90 (.f64 angle 4)) 8)
(/.f64 (.f64 2 (.f64 1/90 (*.f64 angle 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/90 (*.f64 angle 4))))) 64)
(pow.f64 (*.f64 1/180 angle) 1)
(+.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 0)
(+.f64 0 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))
(-.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 0)
(.f64 2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800))
(.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 1)
(.f64 1 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (pow.f64 (*.f64 a angle) 2)))
(.f64 (.f64 1/32400 (pow.f64 (*.f64 a angle) 2)) (pow.f64 (PI.f64) 2))
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/16200) 1/2)
(.f64 (pow.f64 a 2) (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)))
(.f64 (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)) (pow.f64 a 2))
(.f64 (.f64 1/32400 (pow.f64 angle 2)) (pow.f64 (*.f64 (PI.f64) a) 2))
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
(.f64 (pow.f64 (.f64 a angle) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 4 (/.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 4))
(.f64 4 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) 2))
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (.f64 a angle) 2) 1/64800))
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100) 1/4)
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/16200) (.f64 (pow.f64 (PI.f64) 2) 1/2))
(.f64 1/2 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/16200))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) (*.f64 a 1/180)) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (*.f64 (PI.f64) 1/180)) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 1/180 (*.f64 (PI.f64) a)) 2))
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/32400)
(.f64 (pow.f64 (.f64 (PI.f64) a) 2) (*.f64 1/32400 (pow.f64 angle 2)))
(.f64 (.f64 (pow.f64 a 2) 1/32400) (pow.f64 (*.f64 (PI.f64) angle) 2))
(.f64 (.f64 2 (pow.f64 (.f64 a angle) 2)) (.f64 1/64800 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2))
(.f64 (.f64 2 (pow.f64 a 2)) (.f64 (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (pow.f64 angle 2) 1/16200) (*.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200) (/.f64 (pow.f64 a 2) 2))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)) (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2))
(.f64 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) 1/64800)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/32400) (pow.f64 (*.f64 a angle) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a 1/180)) 2) (pow.f64 angle 2))
(.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/64800) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (.f64 a angle) 2) 1/16200))
(.f64 (.f64 (pow.f64 (.f64 a angle) 2) 1/64800) (.f64 2 (pow.f64 (PI.f64) 2)))
(.f64 1/4 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/8100))
(.f64 1/4 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2))
(.f64 1/16200 (.f64 (/.f64 (pow.f64 (*.f64 a angle) 2) 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (*.f64 (pow.f64 a 2) 1/32400))
(.f64 (.f64 (pow.f64 a 2) 1/16200) (*.f64 (/.f64 (pow.f64 angle 2) 2) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 2 (pow.f64 angle 2)) (.f64 (/.f64 (.f64 (pow.f64 a 2) 1/16200) 4) (pow.f64 (PI.f64) 2)))
(.f64 (/.f64 (pow.f64 a 2) 2) (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200))
(.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2) (.f64 2 (pow.f64 a 2)))
(.f64 (/.f64 (.f64 1/32400 (pow.f64 angle 2)) 2) (.f64 2 (pow.f64 (.f64 (PI.f64) a) 2)))
(.f64 1/64800 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))
(.f64 (/.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 4) 4)
(.f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/360) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 a (.f64 angle 1/90)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 2) 2) (pow.f64 (.f64 a (.f64 angle 1/360)) 2))
(.f64 (pow.f64 (.f64 a (.f64 angle 1/360)) 2) (pow.f64 (.f64 (PI.f64) 2) 2))
(.f64 (pow.f64 (.f64 a (.f64 angle 1/90)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 2))
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) 1/180)) 2) (pow.f64 angle 2))
(.f64 (pow.f64 (.f64 1/180 (*.f64 (PI.f64) a)) 2) (pow.f64 angle 2))
(.f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) 2) 4)
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/360) 2) (pow.f64 (+.f64 a a) 2))
(.f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2) 1/4)
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2) (pow.f64 (.f64 a 1/2) 2))
(/.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 1)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 8)))) 64)
(+.f64 (.f64 a (.f64 1/180 angle)) 0)
(+.f64 0 (.f64 a (.f64 1/180 angle)))
(+.f64 (.f64 a (.f64 angle 1/360)) (.f64 a (.f64 angle 1/360)))
(-.f64 (.f64 a (.f64 1/180 angle)) 0)
(/.f64 (.f64 a (.f64 1/180 angle)) 1)
(/.f64 (.f64 a (.f64 angle 1/90)) 2)
(/.f64 (.f64 a (.f64 angle 1/45)) 4)
(/.f64 (.f64 1/90 (.f64 angle (*.f64 a 4))) 8)
(/.f64 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (*.f64 a 4))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))))) 64)
(pow.f64 (.f64 a (.f64 1/180 angle)) 1)

Outputs
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
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(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
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(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle a)))
(.f64 1/180 (.f64 a (*.f64 angle (PI.f64))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(.f64 1/180 (.f64 angle a))
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(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 1/64800 (.f64 2 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (/.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 4) 4)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/360) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 a (.f64 angle 1/90)) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 2) 2) (pow.f64 (.f64 a (.f64 angle 1/360)) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a (.f64 angle 1/360)) 2) (pow.f64 (.f64 (PI.f64) 2) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a (.f64 angle 1/90)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) 1/180)) 2) (pow.f64 angle 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 1/180 (*.f64 (PI.f64) a)) 2) (pow.f64 angle 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/360)) 2) 4)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/360) 2) (pow.f64 (+.f64 a a) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 a (.f64 (.f64 (PI.f64) angle) 1/90)) 2) 1/4)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/90) 2) (pow.f64 (.f64 a 1/2) 2))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 1)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8) 8)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 8)) 16)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 (PI.f64) angle))) 2) 8))) 32)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (.f64 1/180 (*.f64 (PI.f64) angle))) 2) 8)))) 64)
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle a)) 2))
(pow.f64 (.f64 1/180 (.f64 (PI.f64) (*.f64 angle a))) 2)
(.f64 1/32400 (pow.f64 (.f64 a (*.f64 angle (PI.f64))) 2))
(+.f64 (.f64 a (.f64 1/180 angle)) 0)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(+.f64 0 (.f64 a (.f64 1/180 angle)))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(+.f64 (.f64 a (.f64 angle 1/360)) (.f64 a (.f64 angle 1/360)))
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(-.f64 (.f64 a (.f64 1/180 angle)) 0)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 a (.f64 1/180 angle)) 1)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 a (.f64 angle 1/90)) 2)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 a (.f64 angle 1/45)) 4)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 1/90 (.f64 angle (*.f64 a 4))) 8)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))) 16)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (*.f64 a 4))))) 32)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 1/90 (.f64 angle (.f64 a 4)))))) 64)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))
(pow.f64 (.f64 a (.f64 1/180 angle)) 1)
(.f64 1/180 (.f64 angle a))
(.f64 angle (.f64 1/180 a))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	0.4b	(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
✓	8.8b	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	25.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
0.0ms	angle	@	inf	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
0.0ms	a	@	0	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
0.0ms	angle	@	-inf	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
0.0ms	a	@	inf	(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-1`
1750×	`rational.json-2`
1128×	`rational.json-simplify-35`
1010×	`exponential.json-3`
1010×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	101	56
2	209	56
3	424	56
4	836	56
5	2017	56
6	4501	56
7	7521	56

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1/2) (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8)))) 64)))))

simplify222.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational.json-simplify-53`
1554×	`rational.json-simplify-2`
1402×	`rational.json-simplify-35`
1282×	`rational.json-simplify-48`
1126×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1821
1	283	1677
2	666	1647
3	1809	1629
4	3180	1629
5	4307	1629
6	4525	1629
7	5076	1629
8	6061	1629
9	6467	1629
10	7536	1629

Stop Event

1×	node limit

Counts

47 → 77

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))))))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)
(+.f64 0 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 1/2) (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 1/2))
(-.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)
(/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8)))) 64)
(pow.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2))
(-.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 0)
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) 1/2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4))
(.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/4))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 4))
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 4) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) 2) 1/16)
(.f64 (pow.f64 (neg.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8)))) 64)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 a 2) (pow.f64 (*.f64 angle (PI.f64)) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 (.f64 angle (PI.f64)) 4) (.f64 -1/3149280000 (pow.f64 a 2))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (*.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (*.f64 angle (PI.f64)) 4)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000)))) (+.f64 (+.f64 (.f64 1/32400 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (PI.f64) 8) -1/396718580736000000000))))) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000) (.f64 (pow.f64 angle 8) (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000))))
(+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 (pow.f64 (PI.f64) 6) 1/1224440064000000))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (PI.f64) 8) -1/396718580736000000000))))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))))
(+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(+.f64 (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(+.f64 0 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(+.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 1/2) (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 1/2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(-.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 8)) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8))) 32)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) 8)))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(pow.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 0)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(+.f64 0 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(-.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 0)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 1)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) 1/2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/4))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 4) 1/4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/2) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 4))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 4) 2))
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1/4) 4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) 2) 1/16)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (pow.f64 (neg.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) 1)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 1)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 4) 4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8) 8)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8)) 16)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) 8))) 32)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8)))) 64)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
	0.4b	(*.f64 (/.f64 angle 180) (PI.f64))
	25.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	26.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

eval584.0ms (3.2%)

Compiler: Compiled 19285 to 14295 computations (25.9% saved)

prune225.0ms (1.2%)

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	789	9	798
Fresh	6	15	21
Picked	0	1	1
Done	1	8	9
Total	796	33	829

Error

21.5b

Counts

829 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 1/180 a))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/180 (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 -2 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))) 2))
	26.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (*.f64 -1 (cos.f64 (PI.f64))))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 -1/180 angle))))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
✓	21.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
	34.5b	(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a 1/180)) 2) (pow.f64 angle 2)) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 (pow.f64 (.f64 a angle) 2) (.f64 (pow.f64 (PI.f64) 2) 1/32400)) (pow.f64 (.f64 b 1) 2))
	29.5b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (pow.f64 (.f64 a angle) 2))) (pow.f64 (.f64 b 1) 2))
✓	29.5b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b 1) 2))
	36.5b	(+.f64 (.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))) (pow.f64 (.f64 b 1) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))) 2))
✓	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
✓	27.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 749 to 617 computations (17.6% saved)

regimes318.0ms (1.8%)

Counts

61 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/180 (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 1/180 angle))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 1/180 a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 a 2))) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (pow.f64 (.f64 a angle) 2))) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (.f64 a angle) 2) (.f64 (pow.f64 (PI.f64) 2) 1/32400)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 a 1/180)) 2) (pow.f64 angle 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 1/180 angle))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180)))))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 -1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))))) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 1 (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -1) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (*.f64 angle 1/180) (PI.f64))))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 -1 (-.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 -2 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180)))) -2))) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (+.f64 (.f64 (PI.f64) -2) (.f64 (PI.f64) (+.f64 2 (.f64 angle 1/180)))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (*.f64 -1 (cos.f64 (PI.f64))))) 2))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))) (pow.f64 (.f64 b 1) 2))
(+.f64 (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (.f64 angle (PI.f64)) 4) -1/3149280000)) (.f64 (pow.f64 angle 6) (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 a 2)) 1/765275040000000)))) (.f64 (pow.f64 angle 8) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8)) -1/347128758144000000000))) (pow.f64 (*.f64 b 1) 2))

Outputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))

Calls

6 calls:

77.0ms	a
73.0ms	angle
62.0ms	(/.f64 angle 180)
26.0ms	b
26.0ms	(*.f64 (/.f64 angle 180) (PI.f64))

Results

Error	Segments	Branch
21.9b	1	`a`
21.9b	1	`b`
21.9b	1	`angle`
21.9b	1	`(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))`
21.9b	1	`(*.f64 (/.f64 angle 180) (PI.f64))`
21.9b	1	`(/.f64 angle 180)`

Compiler

Compiled 1315 to 950 computations (27.8% saved)

regimes77.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/180 (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 1/180 angle))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 1/180 a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))

Outputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))

Calls

3 calls:

57.0ms	b
7.0ms	angle
7.0ms	a

Results

Error	Segments	Branch
21.9b	1	`a`
21.9b	1	`b`
21.9b	1	`angle`

Compiler

Compiled 211 to 152 computations (28% saved)

regimes26.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 angle (.f64 (.f64 a (PI.f64)) 1/180)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/180 (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 1/180 angle))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 1/180 a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (.f64 angle (PI.f64)) (.f64 1/180 a)) 2) (pow.f64 (.f64 b 1) 2))

Outputs
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))

Calls

3 calls:

8.0ms	angle
7.0ms	b
7.0ms	a

Results

Error	Segments	Branch
27.4b	1	`a`
27.4b	1	`b`
27.4b	1	`angle`

Compiler

Compiled 195 to 141 computations (27.7% saved)

regimes105.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 (PI.f64) a) angle) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) a))) 2) (pow.f64 (.f64 b 1) 2))

Outputs
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))

Calls

3 calls:

94.0ms	angle
5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
27.4b	1	`a`
27.4b	1	`b`
27.4b	1	`angle`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(+.f64 (*.f64 1/32400 (pow.f64 (*.f64 a (*.f64 (PI.f64) angle)) 2)) (pow.f64 (*.f64 b 1) 2))

(+.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) (*.f64 angle a)) 2)) (pow.f64 (*.f64 b 1) 2))

(+.f64 (*.f64 1/32400 (pow.f64 (*.f64 (*.f64 (PI.f64) a) angle) 2)) (pow.f64 (*.f64 b 1) 2))

Outputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))

Calls

3 calls:

4.0ms	b
3.0ms	angle
3.0ms	a

Results

Error	Segments	Branch
27.4b	1	`a`
27.4b	1	`b`
27.4b	1	`angle`

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	233

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))

Outputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 a (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 92 to 77 computations (16.3% saved)

soundness107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-35`
998×	`rational.json-simplify-1`
948×	`rational.json-simplify-49`
836×	`rational.json-simplify-2`
740×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	356	4948
1	739	4828
2	1647	4828
3	3995	4820
4	6316	4812

Stop Event

1×	node limit

Compiler

Compiled 35 to 28 computations (20% saved)

end99.0ms (0.5%)

Compiler: Compiled 80 to 60 computations (25% saved)