Details

analyze4.0ms (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)

sample1.9s (54.3%)

Results

1.7s	8256×	body	256	valid
35.0ms	12×	body	256	invalid

Bogosity

preprocess89.0ms (2.6%)

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)

simplify88.0ms (2.5%)

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

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

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

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

Compiler

Compiled 40 to 30 computations (25% saved)

localize24.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 72 to 48 computations (33.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational.json-1`
1240×	`rational.json-2`
1240×	`rational.json-4`
1240×	`rational.json-3`
1234×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	109	75
2	227	75
3	482	75
4	1497	71
5	4502	71

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

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

simplify119.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-35`
1410×	`rational.json-simplify-49`
1144×	`rational.json-simplify-46`
850×	`rational.json-simplify-38`
740×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2866
1	591	2740
2	1762	2710
3	6936	2548

Stop Event

1×	node limit

Counts

90 → 135

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 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.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 (.f64 3 (.f64 v v)) 2) (/.f64 (.f64 3 (.f64 v v)) 2))
(-.f64 (.f64 3 (.f64 v v)) 0)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 (.f64 v 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 2 (.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)))
(/.f64 (neg.f64 (*.f64 3 (fabs.f64 v))) (neg.f64 (/.f64 1 (fabs.f64 v))))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(fabs.f64 (.f64 3 (.f64 v v)))
(+.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 0)
(+.f64 0 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(+.f64 (/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2) (/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2))
(-.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 0)
(/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2) 2)
(/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(/.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))) 16)
(pow.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 1)
(+.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(+.f64 0 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2))
(-.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(.f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 1)
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2) 2)
(/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2)
(/.f64 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 16)
(pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.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 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 1/4 (*.f64 (pow.f64 v 2) -3/8))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) -9/32)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (.f64 -27/64 (pow.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 1/4 (*.f64 (pow.f64 v 2) -3/8)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 v (.f64 (sqrt.f64 -6) 1/4))
(.f64 v (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (sqrt.f64 -243)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))) (+.f64 (.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (sqrt.f64 -243))) (.f64 v (*.f64 (sqrt.f64 -6) 1/4))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v (sqrt.f64 -3)) -1/4))
(.f64 v (.f64 (sqrt.f64 -6) -1/4))
(.f64 v (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)) (.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64)))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (sqrt.f64 -243)) -1/64) (.f64 v (*.f64 (sqrt.f64 -6) -1/4)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3/2))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 v 2) -3/2) (.f64 (pow.f64 v 4) -9/8)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 v 2) -3/2) (+.f64 (.f64 (pow.f64 v 4) -9/8) (*.f64 (pow.f64 v 6) -27/16))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 v 2) -3/2) (.f64 (pow.f64 v 4) -9/8)) (*.f64 (pow.f64 v 6) -27/16)))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -27)))))
(+.f64 (.f64 v (sqrt.f64 -3)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -27)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/16 (/.f64 (/.f64 1 (pow.f64 v 5)) (sqrt.f64 -243)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (sqrt.f64 -3)) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -243)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -27)))))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(.f64 (.f64 v (sqrt.f64 -3)) -1)
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (.f64 (.f64 v (sqrt.f64 -3)) -1) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (-.f64 (.f64 (.f64 v (sqrt.f64 -3)) -1) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (-.f64 (.f64 (.f64 v (sqrt.f64 -3)) -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 (/.f64 1 (pow.f64 v 5)) (sqrt.f64 -243))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (sqrt.f64 -243)))))))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (.f64 3 (.f64 v v)) 0)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 0 (.f64 3 (.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (/.f64 (.f64 3 (.f64 v v)) 2) (/.f64 (.f64 3 (.f64 v v)) 2))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 3 (.f64 v v)) 1)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 (.f64 v v) 6) 2)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 (.f64 v v) 12) 4)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (*.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 12)) 8)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 v v) 12))) 16)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))) (.f64 3 (*.f64 v v)))
(*.f64 v (+.f64 v (+.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 v (+.f64 v (+.f64 v v)))
(.f64 3 (.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 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)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(/.f64 (neg.f64 (*.f64 3 (fabs.f64 v))) (neg.f64 (/.f64 1 (fabs.f64 v))))
(/.f64 (*.f64 (fabs.f64 v) -3) (/.f64 -1 (fabs.f64 v)))
(neg.f64 (.f64 -3 (.f64 v v)))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 3 (.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 0)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(+.f64 0 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(+.f64 (/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2) (/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 2))
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(-.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 0)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(/.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 1)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2) 2)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(.f64 1/4 (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)))))) 8)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(/.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))) 16)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(pow.f64 (.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 1)
(.f64 1/4 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
(+.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(+.f64 0 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(-.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 1)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2) 2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(/.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(/.f64 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 16)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	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	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.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)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (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	98
1	124	98
2	265	98
3	578	98
4	1709	94
5	5056	94

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

976×	`rational.json-simplify-43`
974×	`rational.json-simplify-35`
962×	`rational.json-simplify-44`
850×	`rational.json-simplify-47`
826×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	189	2930
1	455	2794
2	891	2748
3	1743	2734
4	4178	2726
5	7753	2726

Stop Event

1×	node limit

Counts

42 → 122

Calls

Call 1

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

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

eval422.0ms (12.2%)

Compiler: Compiled 10777 to 8395 computations (22.1% saved)

prune115.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	335	3	338
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	337	3	340

Error

Counts

340 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4) (-.f64 1 (*.f64 v v)))
▶	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
▶	0.6b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 35 to 28 computations (20% saved)

localize4.0ms (0.1%)

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`rational.json-simplify-35`
1138×	`rational.json-1`
1138×	`rational.json-2`
1138×	`rational.json-4`
1138×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	85	29
2	172	29
3	389	29
4	1285	29
5	4084	29

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify134.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-53`
1072×	`rational.json-simplify-59`
1022×	`rational.json-simplify-43`
906×	`rational.json-simplify-51`
732×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	727
1	92	637
2	195	637
3	460	637
4	1239	637
5	4892	637
6	7488	637

Stop Event

1×	node limit

Counts

23 → 20

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

localize25.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 3 (.f64 v v))

Compiler

Compiled 75 to 48 computations (36% saved)

eval20.0ms (0.6%)

Compiler: Compiled 1451 to 847 computations (41.6% saved)

prune61.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	3	56

Error

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) 4) (-.f64 1 (*.f64 v v)))
✓	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.6b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 35 to 28 computations (20% saved)

regimes10.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0b	1	`v`
0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0b	1	`(*.f64 v v)`

Compiler

Compiled 97 to 69 computations (28.9% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.0b remaining (-1.9%)

Threshold costs -0.0b (-1.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 35 to 28 computations (20% saved)

soundness0.0ms (0%)

end73.0ms (2.1%)

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

Details

analyze4.0ms (0.1%)

sample1.9s (54.3%)

preprocess89.0ms (2.6%)

simplify88.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.7%)

series3.0ms (0.1%)

rewrite78.0ms (2.3%)

simplify119.0ms (3.4%)

localize24.0ms (0.7%)

series3.0ms (0.1%)

rewrite74.0ms (2.1%)

simplify117.0ms (3.4%)

eval422.0ms (12.2%)

prune115.0ms (3.3%)

localize4.0ms (0.1%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite61.0ms (1.8%)

simplify134.0ms (3.9%)

localize25.0ms (0.7%)

eval20.0ms (0.6%)

prune61.0ms (1.8%)

regimes10.0ms (0.3%)

regimes11.0ms (0.3%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end73.0ms (2.1%)

Profiling