Details

analyze688.0ms (7.9%)

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)

sample5.8s (67.2%)

Results

3.0s	4071×	body	2048	valid
1.6s	8382×	body	256	invalid
845.0ms	2074×	body	1024	valid
282.0ms	1078×	body	512	valid
117.0ms	1030×	body	256	valid
2.0ms	3×	body	4096	valid

Bogosity

preprocess79.0ms (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)

simplify82.0ms (0.9%)

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

0.9b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(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))
✓	0.9b	(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	@	-inf	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite79.0ms (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))))))))

simplify127.0ms (1.5%)

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)))
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(/.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)))

eval29.0ms (0.3%)

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

prune13.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Error

0.9b

Counts

100 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	1.1b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
▶	0.9b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1)))
▶	1.8b	(acos.f64 -1)

Compiler

Compiled 63 to 47 computations (25.4% saved)

localize3.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1))
	0.2b	(.f64 5 (.f64 v v))
✓	0.9b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1)))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`
1470×	`rational.json-3`
1460×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	109
1	109	97
2	239	97
3	531	97
4	1708	97
5	5176	97

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

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

Outputs

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

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

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational.json-simplify-2`
912×	`rational.json-simplify-35`
898×	`rational.json-simplify-51`
848×	`rational.json-simplify-44`
840×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3611
1	524	3575
2	1338	3557
3	4706	3557
4	6918	3557

Stop Event

1×	node limit

Counts

101 → 113

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 v 2)
✓	0.0b	(*.f64 4 (pow.f64 v 2))
✓	0.9b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series2.0ms (0%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(pow.f64 v 2)
0.0ms	v	@	inf	(pow.f64 v 2)
0.0ms	v	@	inf	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	0	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	0	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

rewrite165.0ms (1.9%)

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	43
1	79	43
2	157	43
3	272	43
4	499	43
5	1089	43
6	2973	43
7	5309	43
8	6162	43
9	7282	43
10	7282	43

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

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

simplify456.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

3332×	`rational.json-simplify-41`
1860×	`rational.json-simplify-35`
1816×	`rational.json-simplify-2`
1708×	`rational.json-simplify-51`
788×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1222
1	254	1042
2	1185	1042
3	2076	1042
4	2546	1042
5	2806	1042
6	2962	1042
7	3081	1042
8	3161	1042
9	4269	1042
10	4388	1042
11	4443	1042
12	4496	1042
13	4543	1042
14	4588	1042
15	5193	1042
16	5250	1042
17	5307	1042
18	5352	1042
19	5397	1042
20	7892	1042

Stop Event

1×	node limit

Counts

78 → 81

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)
(+.f64 (pow.f64 v 2) 0)
(+.f64 0 (pow.f64 v 2))
(+.f64 (.f64 (pow.f64 v 2) 1/2) (.f64 (pow.f64 v 2) 1/2))
(-.f64 (pow.f64 v 2) 0)
(.f64 4 (.f64 (pow.f64 v 2) 1/4))
(.f64 2 (.f64 (pow.f64 v 2) 1/2))
(*.f64 (pow.f64 v 2) 1)
(.f64 (.f64 4 (pow.f64 v 2)) 1/4)
(*.f64 1 (pow.f64 v 2))
(.f64 (.f64 (pow.f64 v 2) 8) 1/8)
(.f64 (.f64 2 (pow.f64 v 2)) 1/2)
(.f64 (.f64 (pow.f64 v 2) 16) 1/16)
(.f64 8 (.f64 (pow.f64 v 2) 1/8))
(.f64 1/2 (.f64 2 (pow.f64 v 2)))
(.f64 (.f64 (pow.f64 v 2) 32) 1/32)
(*.f64 16 (/.f64 (pow.f64 v 2) 16))
(.f64 16 (.f64 (pow.f64 v 2) 1/16))
(.f64 (.f64 (pow.f64 v 2) 1/2) 2)
(.f64 1/4 (.f64 4 (pow.f64 v 2)))
(.f64 (.f64 (pow.f64 v 2) 1/4) 4)
(.f64 (.f64 (pow.f64 v 2) 1/8) 8)
(.f64 1/8 (.f64 (pow.f64 v 2) 8))
(.f64 1/16 (.f64 (pow.f64 v 2) 16))
(*.f64 (/.f64 (pow.f64 v 2) 16) 16)
(.f64 1/32 (.f64 (pow.f64 v 2) 32))
(.f64 (.f64 (pow.f64 v 2) 1/16) 16)
(.f64 (pow.f64 (.f64 v 8) 2) 1/64)
(.f64 1/64 (pow.f64 (.f64 v 8) 2))
(/.f64 (pow.f64 v 2) 1)
(/.f64 (*.f64 4 (pow.f64 v 2)) 4)
(/.f64 (*.f64 (pow.f64 v 2) 8) 8)
(/.f64 (*.f64 2 (pow.f64 v 2)) 2)
(/.f64 (*.f64 (pow.f64 v 2) 16) 16)
(/.f64 (*.f64 (pow.f64 v 2) 32) 32)
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) 32)) 64)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) 32)))) 256)

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)
(+.f64 (pow.f64 v 2) 0)
(pow.f64 v 2)
(+.f64 0 (pow.f64 v 2))
(pow.f64 v 2)
(+.f64 (.f64 (pow.f64 v 2) 1/2) (.f64 (pow.f64 v 2) 1/2))
(pow.f64 v 2)
(-.f64 (pow.f64 v 2) 0)
(pow.f64 v 2)
(.f64 4 (.f64 (pow.f64 v 2) 1/4))
(pow.f64 v 2)
(.f64 2 (.f64 (pow.f64 v 2) 1/2))
(pow.f64 v 2)
(*.f64 (pow.f64 v 2) 1)
(pow.f64 v 2)
(.f64 (.f64 4 (pow.f64 v 2)) 1/4)
(pow.f64 v 2)
(*.f64 1 (pow.f64 v 2))
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 8) 1/8)
(pow.f64 v 2)
(.f64 (.f64 2 (pow.f64 v 2)) 1/2)
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 16) 1/16)
(pow.f64 v 2)
(.f64 8 (.f64 (pow.f64 v 2) 1/8))
(pow.f64 v 2)
(.f64 1/2 (.f64 2 (pow.f64 v 2)))
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 32) 1/32)
(pow.f64 v 2)
(*.f64 16 (/.f64 (pow.f64 v 2) 16))
(pow.f64 v 2)
(.f64 16 (.f64 (pow.f64 v 2) 1/16))
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 1/2) 2)
(pow.f64 v 2)
(.f64 1/4 (.f64 4 (pow.f64 v 2)))
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 1/4) 4)
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 1/8) 8)
(pow.f64 v 2)
(.f64 1/8 (.f64 (pow.f64 v 2) 8))
(pow.f64 v 2)
(.f64 1/16 (.f64 (pow.f64 v 2) 16))
(pow.f64 v 2)
(*.f64 (/.f64 (pow.f64 v 2) 16) 16)
(pow.f64 v 2)
(.f64 1/32 (.f64 (pow.f64 v 2) 32))
(pow.f64 v 2)
(.f64 (.f64 (pow.f64 v 2) 1/16) 16)
(pow.f64 v 2)
(.f64 (pow.f64 (.f64 v 8) 2) 1/64)
(pow.f64 v 2)
(.f64 1/64 (pow.f64 (.f64 v 8) 2))
(pow.f64 v 2)
(/.f64 (pow.f64 v 2) 1)
(pow.f64 v 2)
(/.f64 (*.f64 4 (pow.f64 v 2)) 4)
(pow.f64 v 2)
(/.f64 (*.f64 (pow.f64 v 2) 8) 8)
(pow.f64 v 2)
(/.f64 (*.f64 2 (pow.f64 v 2)) 2)
(pow.f64 v 2)
(/.f64 (*.f64 (pow.f64 v 2) 16) 16)
(pow.f64 v 2)
(/.f64 (*.f64 (pow.f64 v 2) 32) 32)
(pow.f64 v 2)
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) 32)) 64)
(pow.f64 v 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) 32))) 128)
(pow.f64 v 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) 32)))) 256)
(pow.f64 v 2)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1))
	0.2b	(.f64 5 (.f64 v v))
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1)))
✓	3.6b	(-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)

Compiler

Compiled 80 to 50 computations (37.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-1`
1614×	`rational.json-2`
1614×	`rational.json-4`
1614×	`rational.json-3`
1600×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	127
1	117	91
2	285	91
3	684	91
4	2215	91
5	6132	91

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5 (*.f64 v v)) 0)))) (#(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 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 2 (+.f64 (*.f64 5 (*.f64 v v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 5 (*.f64 v v)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (*.f64 5 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (*.f64 5 (*.f64 v v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 5 (*.f64 v v)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 (+.f64 (*.f64 5 (*.f64 v v)) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5 (*.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (*.f64 5 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v v) 5)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 5 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5 v) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 5 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 v v) 2) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (*.f64 v 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 v v) (/.f64 (*.f64 5 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 v) (*.f64 5 (fabs.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v 10) (/.f64 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5 (fabs.f64 v)) (fabs.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 v (*.f64 v 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 (*.f64 v v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v 2) (*.f64 v 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 v v) 2) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5/2 (*.f64 (*.f64 v v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 5 (*.f64 v v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 5 v) 2) (+.f64 v v))))) (#(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 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 4)) (*.f64 2 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.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 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (+.f64 (*.f64 v v) -1) 2)) (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (+.f64 (*.f64 v v) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 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 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (/.f64 -1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) -2) (/.f64 1/2 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) -2) (*.f64 (/.f64 -1 (-.f64 1 (*.f64 v v))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (/.f64 -1 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (*.f64 -1 (/.f64 -1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (+.f64 (*.f64 v v) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 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 1 (*.f64 5 (*.f64 v v))) (/.f64 -2 (-.f64 1 (*.f64 v v)))) 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 -1 (*.f64 v (*.f64 v 10)))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 v v))) (-.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 1 (*.f64 5 (*.f64 v v))) (/.f64 -2 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 v v) -1)) (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 1 (*.f64 v v))) 1/2) (*.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 -1 (-.f64 1 (*.f64 v v)))) (+.f64 (*.f64 5 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (+.f64 (*.f64 v v) -1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 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 -1 (+.f64 -1 (*.f64 v (*.f64 v 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 1 (*.f64 v v))))))))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-35`
1032×	`rational.json-simplify-2`
940×	`rational.json-simplify-46`
934×	`rational.json-simplify-19`
882×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3856
1	411	3784
2	1034	3442
3	2970	3442
4	7137	3442

Stop Event

1×	node limit

Counts

124 → 129

Calls

Call 1

Inputs
(*.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))
(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)))
-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 (.f64 5 (.f64 v v)) 0)
(+.f64 -1 (+.f64 (.f64 5 (.f64 v v)) 1))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) 1) -1)
(+.f64 1 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 0 (.f64 5 (.f64 v v)))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 1)
(+.f64 2 (+.f64 (.f64 5 (.f64 v v)) -2))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -2) 2)
(+.f64 -2 (+.f64 (.f64 5 (.f64 v v)) 2))
(+.f64 -2 (-.f64 (.f64 5 (.f64 v v)) -2))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) 2) -2)
(+.f64 -3 (-.f64 (+.f64 (.f64 5 (.f64 v v)) 1) -2))
(.f64 5 (.f64 v v))
(.f64 v (.f64 5 v))
(.f64 (.f64 v v) 5)
(.f64 (.f64 5 (*.f64 v v)) 1)
(.f64 1 (.f64 5 (*.f64 v v)))
(.f64 (.f64 5 v) v)
(.f64 2 (/.f64 (.f64 5 (*.f64 v v)) 2))
(.f64 (.f64 (*.f64 v v) 2) 5/2)
(.f64 (.f64 v (*.f64 v 10)) 1/2)
(.f64 (+.f64 v v) (/.f64 (.f64 5 v) 2))
(.f64 (fabs.f64 v) (.f64 5 (fabs.f64 v)))
(.f64 (.f64 v 10) (/.f64 v 2))
(.f64 (.f64 5 (fabs.f64 v)) (fabs.f64 v))
(.f64 1/2 (.f64 v (*.f64 v 10)))
(.f64 10 (/.f64 (.f64 v v) 2))
(.f64 (/.f64 v 2) (.f64 v 10))
(.f64 (/.f64 (.f64 v v) 2) 10)
(.f64 5/2 (.f64 (*.f64 v v) 2))
(.f64 (/.f64 (.f64 5 (*.f64 v v)) 2) 2)
(.f64 (/.f64 (.f64 5 v) 2) (+.f64 v v))
(/.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 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))))
(-.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 0)
(.f64 1 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))))
(.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 1)
(.f64 2 (/.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 2))
(.f64 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 2))
(.f64 (/.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 2) 2)
(/.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 2) 2)
(/.f64 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 4)) (.f64 2 (.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v)))) 4))) 16)
(pow.f64 (acos.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v)))))
(+.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 0)
(+.f64 0 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v))))
(+.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (+.f64 (.f64 v v) -1) 2)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (+.f64 (.f64 v v) -1) 2)))
(-.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 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 1 (.f64 v v))))
(.f64 1 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v))))
(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 -1 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v))) 1)
(.f64 (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -2) (/.f64 1/2 (+.f64 (*.f64 v v) -1)))
(.f64 (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -2) (.f64 (/.f64 -1 (-.f64 1 (.f64 v v))) 1/2))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (/.f64 -1 (+.f64 (.f64 v v) -1)))
(.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (.f64 -1 (/.f64 -1 (-.f64 1 (*.f64 v v)))))
(.f64 2 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (+.f64 (*.f64 v v) -1) 2)))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v))) 2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (-.f64 1 (.f64 5 (*.f64 v v)))))
(.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 -2 (-.f64 1 (*.f64 v v)))) 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 -1 (.f64 v (.f64 v 10)))) (/.f64 1 (.f64 (-.f64 1 (*.f64 v v)) 2)))
(.f64 (/.f64 -1 (-.f64 1 (.f64 v v))) (-.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 1 (.f64 5 (.f64 v v))) (/.f64 -2 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1/2 (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (.f64 5 (*.f64 v v)) -1) -2))
(.f64 (/.f64 -1 (+.f64 (.f64 v v) -1)) (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (.f64 (/.f64 -1 (-.f64 1 (.f64 v v))) 1/2) (.f64 (+.f64 (.f64 5 (.f64 v v)) -1) -2))
(.f64 (.f64 -1 (/.f64 -1 (-.f64 1 (.f64 v v)))) (+.f64 (.f64 5 (*.f64 v v)) -1))
(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (+.f64 (*.f64 v v) -1) 2)) 2)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v))) 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 -1 (+.f64 -1 (.f64 v (*.f64 v 10)))))
(pow.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 1)
(neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))

Outputs
(*.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))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (pow.f64 v 2))))
(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 (*.f64 5 (pow.f64 v 2)) -1) (-.f64 1 (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 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 6)) (.f64 4 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(+.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 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 (.f64 4 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 4)))) 5)))
(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)))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.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 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 (.f64 4 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 4)))) 5)))
(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)))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 4)))))))
(+.f64 (.f64 5 (.f64 v v)) 0)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 -1 (+.f64 (.f64 5 (.f64 v v)) 1))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) 1) -1)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 1 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 0 (.f64 5 (.f64 v v)))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -1) 1)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 2 (+.f64 (.f64 5 (.f64 v v)) -2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) -2) 2)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 -2 (+.f64 (.f64 5 (.f64 v v)) 2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 -2 (-.f64 (.f64 5 (.f64 v v)) -2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 (+.f64 (.f64 5 (.f64 v v)) 2) -2)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(+.f64 -3 (-.f64 (+.f64 (.f64 5 (.f64 v v)) 1) -2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 5 (.f64 v v))
(.f64 v (.f64 5 v))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 v v) 5)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 5 (*.f64 v v)) 1)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 1 (.f64 5 (*.f64 v v)))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 5 v) v)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 2 (/.f64 (.f64 5 (*.f64 v v)) 2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 (*.f64 v v) 2) 5/2)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 v (*.f64 v 10)) 1/2)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (+.f64 v v) (/.f64 (.f64 5 v) 2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (fabs.f64 v) (.f64 5 (fabs.f64 v)))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 v 10) (/.f64 v 2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (.f64 5 (fabs.f64 v)) (fabs.f64 v))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 1/2 (.f64 v (*.f64 v 10)))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 10 (/.f64 (.f64 v v) 2))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (/.f64 v 2) (.f64 v 10))
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 (/.f64 (.f64 v v) 2) 10)
(.f64 v (.f64 5 v))
(.f64 5 (.f64 v v))
(.f64 5/2 (.f64 (*.f64 v v) 2))
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(/.f64 (+.f64 -1 (.f64 v (.f64 5 v))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (.f64 v v))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 v (.f64 5 v))) (-.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 v (.f64 5 v))) (-.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 4 (-.f64 1 (.f64 v (.f64 5 v)))) (/.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 5 (.f64 v v))) (/.f64 1/4 (+.f64 -1 (*.f64 v v)))))
(.f64 4 (.f64 (-.f64 1 (.f64 v (.f64 5 v))) (/.f64 -1/4 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) 2)) (+.f64 -1 (+.f64 -1 (.f64 v (*.f64 v 10)))))
(.f64 (+.f64 -1 (+.f64 -1 (.f64 v (.f64 v 10)))) (/.f64 1 (.f64 2 (-.f64 1 (*.f64 v v)))))
(.f64 (+.f64 (.f64 v (.f64 v 10)) -2) (/.f64 1/2 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 1/2 (-.f64 1 (.f64 v v))) (+.f64 -2 (.f64 (.f64 v v) 10)))
(.f64 (/.f64 1/2 (-.f64 1 (.f64 v v))) (+.f64 -2 (.f64 v (.f64 v 10))))
(pow.f64 (/.f64 (+.f64 (.f64 5 (.f64 v v)) -1) (-.f64 1 (*.f64 v v))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 v (.f64 5 v))) (-.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 v (.f64 5 v))) (-.f64 1 (*.f64 v v)))
(neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (*.f64 v v))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (.f64 v (.f64 5 v))) (-.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 v (.f64 5 v))) (-.f64 1 (*.f64 v v)))

eval105.0ms (1.2%)

Compiler: Compiled 6165 to 4586 computations (25.6% saved)

prune51.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	362	6	368

Error

0.9b

Counts

368 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	1.1b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
✓	0.9b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1)))
▶	1.6b	(acos.f64 (.f64 1 (+.f64 (.f64 5 (*.f64 v v)) -1)))
✓	1.8b	(acos.f64 -1)

Compiler

Compiled 74 to 56 computations (24.3% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 5 (.f64 v v))
✓	0.9b	(acos.f64 (.f64 1 (+.f64 (.f64 5 (*.f64 v v)) -1)))

Compiler

Compiled 39 to 24 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2042×	`rational.json-simplify-35`
1148×	`rational.json-1`
1148×	`rational.json-2`
1148×	`rational.json-3`
1146×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	88	23
2	179	23
3	374	23
4	1274	23
5	4078	23

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))))

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational.json-simplify-2`
1060×	`rational.json-simplify-59`
1034×	`rational.json-simplify-19`
696×	`rational.json-simplify-1`
662×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	667
1	86	667
2	179	667
3	491	667
4	1342	667
5	3995	667
6	6006	667
7	7175	667

Stop Event

1×	node limit

Counts

29 → 20

Calls

Call 1

Inputs
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(+.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(-.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(.f64 1 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)))
(.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 1)
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)))) 32)
(pow.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)

Outputs
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(+.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 0 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(-.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 1 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) 1/2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4) 4)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)) 8)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4))) 16)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)))) 32)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(pow.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))

eval9.0ms (0.1%)

Compiler: Compiled 514 to 393 computations (23.5% saved)

prune8.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	40	6	46

Error

0.9b

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	1.1b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
▶	1.6b	(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
✓	0.9b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1)))
✓	1.8b	(acos.f64 -1)

Compiler

Compiled 72 to 54 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 5 (.f64 v v))
✓	0.9b	(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2022×	`rational.json-simplify-35`
1134×	`rational.json-1`
1134×	`rational.json-2`
1134×	`rational.json-4`
1134×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	71	23
2	156	23
3	349	23
4	1238	23
5	4021	23

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4))) (*.f64 2 (*.f64 2 (*.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (+.f64 (*.f64 5 (*.f64 v v)) -1)) 1)))))

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational.json-simplify-2`
1060×	`rational.json-simplify-59`
1034×	`rational.json-simplify-19`
696×	`rational.json-simplify-1`
662×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	667
1	86	667
2	179	667
3	491	667
4	1342	667
5	3995	667
6	6006	667
7	7175	667

Stop Event

1×	node limit

Counts

29 → 20

Calls

Call 1

Inputs
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(+.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(+.f64 0 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(-.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 1)
(.f64 1 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) 1/2)
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)))) 32)
(pow.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)

Outputs
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(acos.f64 (-.f64 (*.f64 5 (pow.f64 v 2)) 1))
(acos.f64 (+.f64 (*.f64 5 (pow.f64 v 2)) -1))
(+.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 0 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(+.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) (/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(-.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 0)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 1 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 2 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2) 1/2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 1/2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 2))
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(.f64 (/.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 2) 2)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4) 4)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)) 8)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (*.f64 v v)) -1)) 4))) 16)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4))) (.f64 2 (.f64 2 (.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 4)))) 32)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
(pow.f64 (acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1)) 1)
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))

eval10.0ms (0.1%)

Compiler: Compiled 474 to 353 computations (25.5% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	39	7	46

Error

0.9b

Counts

46 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	1.1b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
	1.6b	(acos.f64 (+.f64 (-.f64 (-.f64 (.f64 5 (.f64 v v)) -1) 1) -1))
✓	1.6b	(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))
✓	0.9b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 (.f64 5 (.f64 v v)) -1)))
✓	1.8b	(acos.f64 -1)

Compiler

Compiled 85 to 65 computations (23.5% saved)

regimes15.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

5.0ms	v
4.0ms	(*.f64 v 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
0.9b	1	`v`
0.9b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.9b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.9b	1	`(*.f64 v v)`

Compiler

Compiled 124 to 84 computations (32.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.1b remaining (-8.2%)

Threshold costs -0.1b (-8.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(acos.f64 (+.f64 (.f64 5 (.f64 v v)) -1))

Calls

2 calls:

3.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
1.6b	1	`v`
1.6b	1	`(*.f64 v v)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness0.0ms (0%)

end22.0ms (0.3%)

Compiler: Compiled 25 to 17 computations (32% saved)

Details

analyze688.0ms (7.9%)

sample5.8s (67.2%)

preprocess79.0ms (0.9%)

simplify82.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite79.0ms (0.9%)

simplify127.0ms (1.5%)

eval29.0ms (0.3%)

prune13.0ms (0.2%)

localize3.0ms (0%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite78.0ms (0.9%)

simplify111.0ms (1.3%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite165.0ms (1.9%)

simplify456.0ms (5.3%)

localize27.0ms (0.3%)

series1.0ms (0%)

rewrite80.0ms (0.9%)

simplify110.0ms (1.3%)

eval105.0ms (1.2%)

prune51.0ms (0.6%)

localize12.0ms (0.1%)

series0.0ms (0%)

rewrite70.0ms (0.8%)

simplify134.0ms (1.6%)

eval9.0ms (0.1%)

prune8.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite62.0ms (0.7%)

simplify134.0ms (1.6%)

eval10.0ms (0.1%)

prune7.0ms (0.1%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end22.0ms (0.3%)

Profiling