Details

analyze5.0ms (0.1%)

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%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample2.3s (54.4%)

Results

2.3s	8256×	body	256	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess86.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1062×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
718×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	41	57
3	71	57
4	234	57
5	2057	57
6	6109	57
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))

(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1062×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
718×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	41	57
3	71	57
4	234	57
5	2057	57
6	6109	57

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))

(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))

eval1.0ms (0%)

Compiler: Compiled 39 to 28 computations (28.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 20 to 15 computations (25% saved)

localize26.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	0.2b	(.f64 3 (.f64 v v))

Compiler

Compiled 73 to 46 computations (37% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
0.0ms	v	@	0	(.f64 3 (.f64 v v))
0.0ms	v	@	-inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

rewrite86.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`rational.json-1`
1404×	`rational.json-2`
1404×	`rational.json-4`
1404×	`rational.json-3`
1398×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	111
1	124	111
2	265	111
3	579	111
4	1708	107
5	5033	107

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(.f64 3 (.f64 v v))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v v) (.f64 v (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (+.f64 v v)) (.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v (.f64 v 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v v) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 v v) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 12)) (.f64 2 (.f64 (.f64 v v) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))) (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 v v)) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 1 (.f64 v v)) (/.f64 1 (.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 1 (.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 1 (.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 1 (.f64 v v))) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 1 (.f64 v v))) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 3 (*.f64 v v)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v v) (*.f64 v (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (+.f64 v v)) (*.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 v v) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 v v) 12)) (*.f64 2 (*.f64 (*.f64 v v) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (*.f64 v v)) (*.f64 3 (*.f64 v v))) (*.f64 3 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (*.f64 v (+.f64 v v)))) (*.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (*.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))) (*.f64 (/.f64 1 (*.f64 v v)) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2) (/.f64 1 (*.f64 v (+.f64 v v)))) (*.f64 (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2) (/.f64 1 (*.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4) (/.f64 1 (*.f64 v (+.f64 v v)))) (*.f64 (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4) (/.f64 1 (*.f64 v (+.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 1 (*.f64 v v))) (*.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2)) (*.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4)) (*.f64 (/.f64 1 (*.f64 v (+.f64 v v))) (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 1 (*.f64 v v))) (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2)) (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4)) (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 v v)) (*.f64 v v)) (*.f64 2 (/.f64 1 (*.f64 v v)))) (/.f64 (/.f64 (*.f64 v 4) (*.f64 (*.f64 v v) (/.f64 (*.f64 v v) v))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (*.f64 v v)))))))

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

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

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational.json-simplify-35`
1234×	`rational.json-simplify-49`
958×	`rational.json-simplify-46`
902×	`rational.json-simplify-1`
844×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	3580
1	690	3444
2	1931	3398
3	6910	3240

Stop Event

1×	node limit

Counts

80 → 140

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
1
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 v 4)) (.f64 -5/2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 v 4)) (+.f64 (.f64 -5/2 (pow.f64 v 2)) (*.f64 -9/16 (pow.f64 v 6)))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (.f64 (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))) v) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))) v) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))) v) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(*.f64 (pow.f64 v 3) (sqrt.f64 -3))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))))) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))) v)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(+.f64 (.f64 3 (.f64 v v)) 0)
(+.f64 0 (.f64 3 (.f64 v v)))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 v (.f64 v 6)) 2)
(/.f64 (.f64 (.f64 v v) 12) 4)
(/.f64 (*.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 12)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 12)) (.f64 2 (.f64 (.f64 v v) 12))) 16)
(/.f64 (.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))) (.f64 3 (*.f64 v v)))
(/.f64 (+.f64 (/.f64 1 (.f64 v v)) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 1 (.f64 v v)) (/.f64 1 (*.f64 v (+.f64 v v)))))
(/.f64 (+.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (*.f64 v v))))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 1 (*.f64 v (+.f64 v v)))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (*.f64 v v))))))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 1 (.f64 v (+.f64 v v)))) (.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 1 (*.f64 v (+.f64 v v)))))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v))))) (.f64 (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4) (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (*.f64 v v))))))
(/.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 1 (.f64 v v))) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 1 (*.f64 v v))))
(/.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (*.f64 v v) v))) 2)))
(/.f64 (+.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)) (.f64 (/.f64 1 (.f64 v (+.f64 v v))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (*.f64 v v) v))) 4)))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 1 (.f64 v v))) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 1 (*.f64 v v))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 2)) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (+.f64 v v) (.f64 (.f64 v v) (/.f64 (*.f64 v v) v))) 2)))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (.f64 v v) v))) 4)) (.f64 (/.f64 (/.f64 (/.f64 1 (.f64 v v)) (.f64 v v)) (.f64 2 (/.f64 1 (.f64 v v)))) (/.f64 (/.f64 (.f64 v 4) (.f64 (.f64 v v) (/.f64 (*.f64 v v) v))) 4)))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(fabs.f64 (.f64 3 (.f64 v v)))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 0)
(+.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 0)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 16)
(pow.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 1)
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (*.f64 v v)))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v)))))) 16)
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)

Outputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2))) (.f64 (pow.f64 v 4) (.f64 1/4 (.f64 (sqrt.f64 2) 3/8))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))) (+.f64 (.f64 (pow.f64 v 4) (.f64 1/4 (.f64 (sqrt.f64 2) 3/8))) (*.f64 1/4 (sqrt.f64 2))))
(+.f64 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8))) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4))
(.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) 1/4)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 1/4 v)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v 1/4)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) 1/4)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 1/4 v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) 1/4)) (+.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 1/4 v))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4)) (+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4)) (+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 -1/4 v)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 -1/4 v)) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
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(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 0)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 1)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 4)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 8)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 16)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(pow.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 1)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))))
(.f64 1/4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 0)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 2)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (*.f64 v v)))) 4)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) 8)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 4 (-.f64 1 (.f64 v v)))))) 16)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))) 1)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))

eval246.0ms (5.9%)

Compiler: Compiled 4833 to 3921 computations (18.9% saved)

prune77.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

0.0b

Counts

141 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.0b

(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))

▶

0.0b

(*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))) (*.f64 1/4 (-.f64 1 (*.f64 v v))))

▶

0.6b

(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 44 to 34 computations (22.7% saved)

localize5.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.0b	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
	0.2b	(.f64 3 (.f64 v v))

Compiler

Compiled 70 to 43 computations (38.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0ms	v	@	0	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
0.0ms	v	@	-inf	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0ms	v	@	inf	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
0.0ms	v	@	0	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))

rewrite72.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`rational.json-1`
1254×	`rational.json-2`
1254×	`rational.json-4`
1254×	`rational.json-3`
1248×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	115	82
2	236	82
3	510	82
4	1525	82
5	4572	82

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))

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

Outputs

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

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

simplify170.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational.json-simplify-46`
956×	`rational.json-simplify-19`
914×	`rational.json-simplify-1`
818×	`rational.json-simplify-2`
814×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2926
1	412	2804
2	824	2742
3	1763	2720
4	3273	2720
5	5322	2720
6	6808	2720
7	7420	2720

Stop Event

1×	node limit

Counts

50 → 130

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(sqrt.f64 2)
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (sqrt.f64 2)))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (sqrt.f64 2) (.f64 -27/16 (.f64 (sqrt.f64 2) (pow.f64 v 6))))))
(.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 2) (/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 2))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) 1/2)) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v)))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (.f64 v v))) 4) 16)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v)))) 1)
(+.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(+.f64 0 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
(+.f64 (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 2) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 2))
(-.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 2 (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 2))
(.f64 1 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 2) 2)
(/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4))) 16)
(pow.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8))) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16))))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4))
(.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 v (.f64 1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (.f64 v (.f64 1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (+.f64 (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) 1/4))
(.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 -1/4 v)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) 1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
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(/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4) 4)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)) 8)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4))) 16)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
(pow.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (*.f64 v 3)))))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))

eval185.0ms (4.4%)

Compiler: Compiled 5188 to 4086 computations (21.2% saved)

prune23.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	4	162

Error

0.0b

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	0.0b	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
▶	0.6b	(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
✓	0.6b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize17.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2058×	`rational.json-simplify-35`
1146×	`rational.json-1`
1146×	`rational.json-2`
1146×	`rational.json-4`
1146×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	87	29
2	183	29
3	407	29
4	1310	29
5	4122	29

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

Outputs

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

simplify131.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational.json-simplify-2`
1106×	`rational.json-simplify-59`
1068×	`rational.json-simplify-19`
784×	`rational.json-simplify-53`
630×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	727
1	102	637
2	210	637
3	514	637
4	1508	637
5	4107	637
6	6294	637
7	7642	637

Stop Event

1×	node limit

Counts

23 → 18

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 205 to 160 computations (22% saved)

prune75.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	18	4	22

Error

0.0b

Counts

22 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	0.0b	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
✓	0.6b	(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
✓	0.6b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 55 to 43 computations (21.8% saved)

regimes11.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

Outputs
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))

Calls

3 calls:

4.0ms	v
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 97 to 69 computations (28.9% saved)

regimes62.0ms (1.5%)

Accuracy

Total -0.0b remaining (-3.2%)

Threshold costs -0.0b (-3.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

Outputs
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

Calls

2 calls:

59.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`(*.f64 v v)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(*.f64 1/4 (sqrt.f64 2))

Outputs
(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 1/4 (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 35 to 28 computations (20% saved)

soundness307.0ms (7.4%)

Algorithm

2×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1398×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1234×	`rational.json-simplify-49`
1062×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	41	57
3	71	57
4	234	57
5	2057	57
6	6109	57
0	263	3580
1	690	3444
2	1931	3398
3	6910	3240

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 133 to 93 computations (30.1% saved)

end27.0ms (0.7%)

Compiler: Compiled 33 to 25 computations (24.2% saved)

Details

analyze5.0ms (0.1%)

sample2.3s (54.4%)

preprocess86.0ms (2.1%)

simplify90.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.6%)

series5.0ms (0.1%)

rewrite86.0ms (2.1%)

simplify96.0ms (2.3%)

eval246.0ms (5.9%)

prune77.0ms (1.8%)

localize5.0ms (0.1%)

localize22.0ms (0.5%)

series2.0ms (0%)

rewrite72.0ms (1.7%)

simplify170.0ms (4.1%)

eval185.0ms (4.4%)

prune23.0ms (0.6%)

localize17.0ms (0.4%)

series1.0ms (0%)

rewrite63.0ms (1.5%)

simplify131.0ms (3.1%)

eval4.0ms (0.1%)

prune75.0ms (1.8%)

regimes11.0ms (0.3%)

regimes62.0ms (1.5%)

simplify2.0ms (0.1%)

soundness307.0ms (7.4%)

end27.0ms (0.7%)

Profiling