Details

analyze765.0ms (8.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample6.8s (73.9%)

Results

3.4s	4106×	body	2048	valid
1.9s	8226×	body	256	invalid
1.1s	2046×	body	1024	valid
222.0ms	1028×	body	256	valid
219.0ms	1075×	body	512	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess83.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1730×	`rational.json-simplify-51`
1380×	`rational.json-simplify-1`
1364×	`rational.json-simplify-53`
1064×	`rational.json-simplify-41`
1006×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	24	41
2	45	41
3	102	41
4	352	41
5	2434	41
6	6065	41
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs

(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))

(acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 5 v)) -1) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1730×	`rational.json-simplify-51`
1380×	`rational.json-simplify-1`
1364×	`rational.json-simplify-53`
1064×	`rational.json-simplify-41`
1006×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	24	41
2	45	41
3	102	41
4	352	41
5	2434	41
6	6065	41

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs

(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))

(acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 5 v)) -1) (-.f64 1 (*.f64 v v))))

eval1.0ms (0%)

Compiler: Compiled 43 to 27 computations (37.2% 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

0.6b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(.f64 5 (.f64 v v))
0.0ms	v	@	inf	(.f64 5 (.f64 v v))
0.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`rational.json-1`
1688×	`rational.json-2`
1688×	`rational.json-4`
1688×	`rational.json-3`
1674×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	91
1	95	91
2	245	91
3	600	91
4	2016	91
5	5968	91

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(.f64 5 (.f64 v v))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4)) (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 5 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 5 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 5 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 5 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 5 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 5 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v (.f64 v 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v v) 20) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 5 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 v v) 20)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 20)) (.f64 2 (.f64 (.f64 v v) 20))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 5 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 0 (.f64 5 (.f64 v v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (/.f64 1/2 (+.f64 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 5 (.f64 v v)) -1) (/.f64 1 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 5 (.f64 v v)) -1) (.f64 -1 (/.f64 1 (+.f64 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4) (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2) (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (/.f64 1 (+.f64 (.f64 v v) -1))) (+.f64 (.f64 5 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)) (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 4)) (*.f64 2 (*.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5 (*.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 5 (*.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 5 (*.f64 v v)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) 20) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 v v) 20)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 v v) 20)) (*.f64 2 (*.f64 (*.f64 v v) 20))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 0 (*.f64 5 (*.f64 v v))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -2 (*.f64 v (+.f64 v v)))) (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -2 (*.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (/.f64 1 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 2) (/.f64 1/2 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 v v) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (*.f64 -1 (/.f64 1 (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -2 (*.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 v v) -1)) (-.f64 1 (*.f64 5 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 v v) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 v v) -1)) (-.f64 1 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 v v) -1)) (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (+.f64 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) 2) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 v v) -1)) 1/2) (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (+.f64 (*.f64 v v) -1))) (+.f64 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 -2 (*.f64 v (+.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 v v) -1) 4)) (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 2)) (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v))))))))

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-2`
980×	`rational.json-simplify-35`
644×	`rational.json-simplify-1`
622×	`rational.json-simplify-45`
616×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3186
1	339	3138
2	811	3120
3	2176	3120
4	4932	3120
5	7528	3120

Stop Event

1×	node limit

Counts

102 → 99

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(+.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
(-.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)
(.f64 2 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2))
(.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 2))
(.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)
(/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)
(/.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)
(/.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4)) (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4))) 16)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)
(+.f64 1 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 (.f64 5 (.f64 v v)) 0)
(+.f64 0 (.f64 5 (.f64 v v)))
(+.f64 -1 (-.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 1)
(-.f64 1 (-.f64 1 (.f64 5 (.f64 v v))))
(-.f64 (.f64 5 (.f64 v v)) 0)
(-.f64 0 (-.f64 0 (.f64 5 (.f64 v v))))
(-.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -1)
(-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)
(/.f64 (.f64 5 (.f64 v v)) 1)
(/.f64 (.f64 v (.f64 v 10)) 2)
(/.f64 (.f64 (.f64 v v) 20) 4)
(/.f64 (*.f64 5 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 20)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 20)) (.f64 2 (.f64 (.f64 v v) 20))) 16)
(pow.f64 (.f64 5 (.f64 v v)) 1)
(neg.f64 (-.f64 0 (.f64 5 (.f64 v v))))
(+.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)
(+.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v)))))
(+.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))
(-.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)
(-.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))
(.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))
(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 1)
(.f64 -1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (/.f64 1/2 (+.f64 (*.f64 v v) -1)))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (/.f64 1 (-.f64 1 (.f64 v v))))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (.f64 -1 (/.f64 1 (+.f64 (*.f64 v v) -1))))
(.f64 2 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 2) 1/2)
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4) (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)))
(.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (.f64 v v))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) -1)
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 2))
(.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (.f64 (-.f64 1 (.f64 5 (*.f64 v v))) 2))
(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2) (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2))
(.f64 (.f64 -1 (/.f64 1 (+.f64 (.f64 v v) -1))) (+.f64 (.f64 5 (*.f64 v v)) -1))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) 2)
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4))
(.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)) (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2))
(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 1)
(neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(+.f64 (*.f64 (pow.f64 v 2) 4) -1)
(+.f64 -1 (*.f64 (pow.f64 v 2) 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (pow.f64 v 4)) (+.f64 (.f64 (pow.f64 v 2) 4) -1))
(+.f64 -1 (*.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 2))))
(+.f64 -1 (*.f64 4 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (+.f64 (.f64 4 (pow.f64 v 4)) (.f64 4 (pow.f64 v 6))) (+.f64 (*.f64 (pow.f64 v 2) 4) -1))
(+.f64 -1 (+.f64 (.f64 4 (pow.f64 v 4)) (.f64 4 (+.f64 (pow.f64 v 2) (pow.f64 v 6)))))
(+.f64 -1 (*.f64 4 (+.f64 (pow.f64 v 2) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 4))) (*.f64 4 (/.f64 1 (pow.f64 v 6)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))) (.f64 4 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 4))) (*.f64 4 (/.f64 1 (pow.f64 v 6)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))) (.f64 4 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6)))))))
(+.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(+.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(-.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 2 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 2) 1/2)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 1/2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 2))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(/.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 2) 2)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(/.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4) 4)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(/.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 4)) 8)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4)) (.f64 2 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 4))) 16)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v))))
(+.f64 1 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 5 (.f64 v v))
(+.f64 (.f64 5 (.f64 v v)) 0)
(.f64 5 (.f64 v v))
(+.f64 0 (.f64 5 (.f64 v v)))
(.f64 5 (.f64 v v))
(+.f64 -1 (-.f64 (.f64 5 (.f64 v v)) -1))
(.f64 5 (.f64 v v))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 1)
(.f64 5 (.f64 v v))
(-.f64 1 (-.f64 1 (.f64 5 (.f64 v v))))
(.f64 5 (.f64 v v))
(-.f64 (.f64 5 (.f64 v v)) 0)
(.f64 5 (.f64 v v))
(-.f64 0 (-.f64 0 (.f64 5 (.f64 v v))))
(.f64 5 (.f64 v v))
(-.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -1)
(.f64 5 (.f64 v v))
(-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)
(.f64 5 (.f64 v v))
(/.f64 (.f64 5 (.f64 v v)) 1)
(.f64 5 (.f64 v v))
(/.f64 (.f64 v (.f64 v 10)) 2)
(.f64 5 (.f64 v v))
(/.f64 (.f64 (.f64 v v) 20) 4)
(.f64 5 (.f64 v v))
(/.f64 (*.f64 5 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(.f64 5 (.f64 v v))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 20)) 8)
(.f64 5 (.f64 v v))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 20)) (.f64 2 (.f64 (.f64 v v) 20))) 16)
(.f64 5 (.f64 v v))
(pow.f64 (.f64 5 (.f64 v v)) 1)
(.f64 5 (.f64 v v))
(neg.f64 (-.f64 0 (.f64 5 (.f64 v v))))
(.f64 5 (.f64 v v))
(+.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(+.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(+.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(-.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 0)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(-.f64 0 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 1)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 -1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (/.f64 1/2 (+.f64 (*.f64 v v) -1)))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2) (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (/.f64 1 (-.f64 1 (.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (.f64 -1 (/.f64 1 (+.f64 (*.f64 v v) -1))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 2 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (*.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 2) 1/2)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4) (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)))
(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 4 (/.f64 1 (.f64 4 (+.f64 -1 (.f64 v v))))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 -1 (.f64 v v))) (-.f64 1 (.f64 5 (*.f64 v v)))))
(.f64 4 (.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (/.f64 1/4 (+.f64 -1 (*.f64 v v)))))
(.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 4 (/.f64 -1/4 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) -1)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (.f64 (-.f64 1 (.f64 5 (*.f64 v v))) 2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2) (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) 1/2) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (.f64 -1 (/.f64 1 (+.f64 (.f64 v v) -1))) (+.f64 (.f64 5 (*.f64 v v)) -1))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -2 (.f64 v (+.f64 v v)))) 2)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) 2) 2)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 v v) -1) 4)) (.f64 (-.f64 1 (.f64 5 (.f64 v v))) 4))
(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 4 (/.f64 1 (.f64 4 (+.f64 -1 (.f64 v v))))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 -1 (.f64 v v))) (-.f64 1 (.f64 5 (*.f64 v v)))))
(.f64 4 (.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (/.f64 1/4 (+.f64 -1 (*.f64 v v)))))
(.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 4 (/.f64 -1/4 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)) (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)) 1)
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))
(neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (*.f64 v v)))

eval30.0ms (0.3%)

Compiler: Compiled 1694 to 1175 computations (30.6% saved)

prune12.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Error

0.6b

Counts

100 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.8b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
▶	1.2b	(acos.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (pow.f64 v 2))
✓	0.6b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	0	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	inf	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
0.0ms	v	@	0	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
0.0ms	v	@	-inf	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

rewrite169.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2350×	`rational.json-simplify-2`
1892×	`rational.json-simplify-1`
1258×	`exponential.json-3`
1258×	`rational.json-1`
1258×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	79	36
2	157	36
3	272	36
4	499	36
5	1089	36
6	2973	36
7	5309	36
8	6162	36
9	7282	36
10	7282	36

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(*.f64 4 (pow.f64 v 2))

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

Outputs

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

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

simplify952.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

3568×	`rational.json-simplify-35`
2744×	`rational.json-simplify-49`
1406×	`rational.json-simplify-1`
1164×	`rational.json-simplify-2`
944×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	963
1	179	963
2	499	963
3	1505	963
4	2591	783
5	3738	783
6	4361	783
7	4514	783
8	4635	783
9	4704	783
10	4772	783
11	4840	783
12	4916	783
13	4984	783
14	5052	783
15	5120	783
16	5188	783
17	5256	783
18	5324	783
19	5324	783
20	5324	783
21	5392	783
22	5460	783
23	5528	783
24	5596	783
25	5664	783
26	5732	783
27	5800	783
28	5868	783
29	5936	783
30	6004	783
31	6072	783
32	6140	783
33	6208	783
34	6276	783

Stop Event

1×	node limit

Counts

41 → 43

Calls

Call 1

Inputs
(+.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
(+.f64 0 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1/2) (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1/2))
(-.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
(.f64 4 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/4))
(.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/2))
(.f64 1 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)))
(.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1)
(.f64 (.f64 2 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))) 1/2)
(.f64 (.f64 4 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))) 1/4)
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8) 1/8)
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/2) 2)
(.f64 1/4 (.f64 4 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(.f64 1/8 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/4) 4)
(/.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1)
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) 2)
(/.f64 (.f64 4 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) 4)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8))))) 128)
(pow.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(+.f64 (*.f64 4 (pow.f64 v 2)) 0)
(+.f64 0 (*.f64 4 (pow.f64 v 2)))
(+.f64 (.f64 2 (pow.f64 v 2)) (.f64 2 (pow.f64 v 2)))
(+.f64 (*.f64 (pow.f64 v 2) 3) (pow.f64 v 2))
(-.f64 (*.f64 4 (pow.f64 v 2)) 0)
(/.f64 (*.f64 4 (pow.f64 v 2)) 1)
(/.f64 (*.f64 (pow.f64 v 2) 8) 2)
(/.f64 (*.f64 (pow.f64 v 2) 16) 4)
(/.f64 (*.f64 (pow.f64 v 2) 32) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) 32)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) 32)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))))) 128)
(pow.f64 (*.f64 4 (pow.f64 v 2)) 1)
(pow.f64 (+.f64 v v) 2)

Outputs
(+.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(+.f64 0 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(+.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1/2) (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1/2))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(-.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 4 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/4))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/2))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 1 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 1)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (.f64 2 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))) 1/2)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (.f64 4 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))) 1/4)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 1/2 (.f64 2 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8) 1/8)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/2) 2)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 1/4 (.f64 4 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 1/8 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1/4) 4)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 2 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) 2)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 4 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) 4)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8) 8)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8)) 16)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8))) 32)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 8)))) 64)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) 8))))) 128)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(pow.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(+.f64 (*.f64 4 (pow.f64 v 2)) 0)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(+.f64 0 (*.f64 4 (pow.f64 v 2)))
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(+.f64 (.f64 2 (pow.f64 v 2)) (.f64 2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(+.f64 (*.f64 (pow.f64 v 2) 3) (pow.f64 v 2))
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(-.f64 (*.f64 4 (pow.f64 v 2)) 0)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (*.f64 4 (pow.f64 v 2)) 1)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) 8) 2)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) 16) 4)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) 32) 8)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) 32)) 16)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))) 32)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) 32)))) 64)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))))) 128)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(pow.f64 (*.f64 4 (pow.f64 v 2)) 1)
(+.f64 (pow.f64 v 2) (*.f64 (pow.f64 v 2) 3))
(*.f64 4 (pow.f64 v 2))
(pow.f64 (+.f64 v v) 2)

eval15.0ms (0.2%)

Compiler: Compiled 518 to 470 computations (9.3% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	43	3	46

Error

0.6b

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.8b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
✓	1.2b	(acos.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.5b remaining (-86.1%)

Threshold costs -0.5b (-86.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Calls

4 calls:

3.0ms	(*.f64 v v)
3.0ms	v
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.6b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.6b	1	`(*.f64 v v)`

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 -1)

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 -1)

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end18.0ms (0.2%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

Details

analyze765.0ms (8.3%)

sample6.8s (73.9%)

preprocess83.0ms (0.9%)

simplify88.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite86.0ms (0.9%)

simplify133.0ms (1.4%)

eval30.0ms (0.3%)

prune12.0ms (0.1%)

localize2.0ms (0%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite169.0ms (1.8%)

simplify952.0ms (10.3%)

eval15.0ms (0.2%)

prune5.0ms (0.1%)

regimes11.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end18.0ms (0.2%)

Profiling