Details

analyze454.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.4s (28.3%)

Results

873.0ms	5614×	body	256	valid
677.0ms	1149×	body	2048	valid
244.0ms	403×	body	4096	valid
227.0ms	719×	body	1024	valid
154.0ms	1043×	body	256	invalid
91.0ms	371×	body	512	valid
72.0ms	527×	body	256	infinite

Bogosity

preprocess87.0ms (1%)

Algorithm

2×	egg-herbie

Rules

986×	`rational_best-simplify-1`
756×	`rational_best-simplify-21`
756×	`rational_best-simplify-18`
738×	`rational_best-simplify-20`
402×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	204
1	183	188
2	1211	188
3	6832	188
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 3))))) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 3 (.f64 c b)))) a) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a a) (.f64 c (.f64 b -3)))) a) (.f64 b 3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 3 c))))) (.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 c))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3))))) (.f64 c -3))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 3 a))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 c c) (.f64 a (.f64 b 3)))) c) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 b (.f64 a -3)))) c) (.f64 3 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

718×	`rational_best-simplify-111`
710×	`rational_best-simplify-96`
690×	`rational_best-simplify-117`
678×	`rational_best-simplify-61`
662×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	58	47
2	315	47
3	2033	47

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 3 (*.f64 c a)))) b) (*.f64 3 a))

(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a))

eval1.0ms (0%)

Compiler: Compiled 52 to 32 computations (38.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
▶	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
✓	1.0b	(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
✓	1.2b	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
✓	23.5b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series18.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
1.0ms	b	@	inf	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
1.0ms	b	@	0	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
1.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational_best-simplify-113`
740×	`rational_best-simplify-111`
612×	`rational_best-simplify-96`
604×	`rational_best-simplify-61`
596×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	136
1	57	136
2	279	136
3	1818	136

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)) 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b b) (.f64 a (.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c (.f64 a -3)) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)) (-.f64 (.f64 a (.f64 c 3)) (.f64 b b))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 1 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 c 3)) (.f64 a (.f64 c 3))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 c (.f64 a -3)) (.f64 b b))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 b b) 0) (/.f64 (.f64 b (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (.f64 b b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 b b)) 0) (/.f64 (.f64 b (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (.f64 b b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c 3))) 0) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 c 3)) (.f64 a (.f64 c 3)))) (+.f64 (.f64 b b) (.f64 a (.f64 c 3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (.f64 c 3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))))
()

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

596×	`rational_best-simplify-62`
518×	`rational_best-simplify-124`
516×	`rational_best-simplify-126`
476×	`rational_best-simplify-65`
474×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	333	7321
1	1500	7285

Stop Event

1×	node limit

Counts

147 → 168

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))))
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) 0))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))) -1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)) 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))
(-.f64 (.f64 c (.f64 a -3)) (neg.f64 (*.f64 b b)))
(-.f64 0 (-.f64 (.f64 a (.f64 c 3)) (*.f64 b b)))
(.f64 -1 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)))
(.f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)) -1)
(/.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 1)
(/.f64 (-.f64 (.f64 a (.f64 c 3)) (*.f64 b b)) -1)
(/.f64 (+.f64 (-.f64 (.f64 a (.f64 c 3)) (.f64 b b)) (-.f64 (.f64 a (.f64 c 3)) (.f64 b b))) -2)
(/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 1 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))))
(neg.f64 (-.f64 (.f64 a (.f64 c 3)) (*.f64 b b)))
(if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 c 3)) (.f64 a (.f64 c 3))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 c (.f64 a -3)) (.f64 b b))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 b b) 0) (/.f64 (.f64 b (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (.f64 b b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (neg.f64 (.f64 b b)) 0) (/.f64 (.f64 b (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (.f64 b b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c 3))) 0) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 c 3)) (.f64 a (.f64 c 3)))) (+.f64 (.f64 b b) (.f64 a (.f64 c 3)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 a (.f64 c 3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -243)))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -243))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 b (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 b (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) (neg.f64 b))
(-.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (neg.f64 b)))
(+.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) b))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (neg.f64 b)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 (/.f64 (.f64 c a) b) 3/2)))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) b) (-.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 b (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 b (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 b (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 b (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (+.f64 b (.f64 -3/2 (/.f64 (.f64 c a) b))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) (neg.f64 b))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
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(if (!=.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a 3))) 0) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 c (.f64 (.f64 c (.f64 a 3)) (.f64 a 3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a 3)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 a (.f64 c 3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a 3)) 0) (/.f64 (.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
✓	1.0b	(-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))
✓	1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)
✓	23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a))))

Compiler

Compiled 68 to 30 computations (55.9% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a))))
0.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a))))
0.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
0.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
0.0ms	c	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`rational_best-simplify-96`
870×	`rational_best-simplify-61`
852×	`rational_best-simplify-65`
786×	`rational_best-simplify-3`
700×	`rational_best-simplify-110`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	136
1	72	136
2	392	136
3	2557	136

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a))))
(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)
(-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)) 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))))) (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 b b) (.f64 3 (.f64 c a))) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 3 (.f64 c a)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 b b) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 b (neg.f64 b)) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0) (/.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0)) 0) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))))
()

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

596×	`rational_best-simplify-62`
444×	`rational_best-simplify-124`
442×	`rational_best-simplify-126`
436×	`rational_best-simplify-127`
412×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	333	7260
1	1322	7224

Stop Event

1×	node limit

Counts

152 → 173

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)
(.f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))) -1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 -1 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1) (+.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 1)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))))
(if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)) 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(+.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 0)
(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
(+.f64 0 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)
(.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) -1)
(.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))
(/.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 1)
(/.f64 (-.f64 (.f64 3 (.f64 c a)) (*.f64 b b)) -1)
(/.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) -2)
(/.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1))
(/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))))) (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1)))
(pow.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 1)
(neg.f64 (-.f64 (.f64 3 (.f64 c a)) (*.f64 b b)))
(if (!=.f64 (+.f64 (.f64 b b) (.f64 3 (.f64 c a))) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 3 (.f64 c a)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 b b) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 b (neg.f64 b)) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0) (/.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0)) 0) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
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(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
(if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (+.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 0 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) 0)) 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(+.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 0)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(+.f64 0 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) 1)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) -1)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 1)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (-.f64 (.f64 3 (.f64 c a)) (*.f64 b b)) -1)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) -2)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) 2)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) -4)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) (-.f64 -1 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b))))) (+.f64 (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1) (+.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 1)))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(pow.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))) 1)
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(neg.f64 (-.f64 (.f64 3 (.f64 c a)) (*.f64 b b)))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(if (!=.f64 (+.f64 (.f64 b b) (.f64 3 (.f64 c a))) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (+.f64 (.f64 b b) (.f64 c (.f64 3 a))) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 3 a)))) (+.f64 (.f64 b b) (.f64 c (.f64 3 a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a 3))) 0) (/.f64 (+.f64 (.f64 c (.f64 (.f64 a -3) (.f64 c (.f64 a 3)))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 b b) (.f64 c (.f64 a 3)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 3 (.f64 c a)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(if (!=.f64 (.f64 b b) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
(if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 3 (.f64 c a)) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 3 a)))) (+.f64 (.f64 b b) (.f64 c (.f64 3 a)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 c (.f64 a -3)) (.f64 b b)) 0) (/.f64 (+.f64 (.f64 c (.f64 (.f64 a -3) (.f64 c (.f64 a 3)))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 b b) (.f64 c (.f64 a 3)))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 b (neg.f64 b)) 0) (.f64 (/.f64 (.f64 b b) b) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 b (neg.f64 b)) 0) (.f64 (+.f64 b (/.f64 0 b)) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) b)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0) (/.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 c (.f64 3 a)) (.f64 b b)) 0) (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (/.f64 0 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (-.f64 (.f64 c (.f64 a 3)) (.f64 b b)) 0) (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (/.f64 0 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) (.f64 3 (.f64 c a))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (.f64 c (.f64 3 a))) (.f64 c (.f64 3 a))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 (.f64 c (.f64 a -3)) 0) (/.f64 (.f64 c (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (.f64 a 3))) (.f64 c (.f64 a 3))) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 3 (.f64 c a)) (.f64 b b)) 0)) 0) (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))

eval175.0ms (2.1%)

Compiler: Compiled 11703 to 7347 computations (37.2% saved)

prune53.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	329	12	341
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	329	14	343

Error

3.2b

Counts

343 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(/.f64 (if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 3 a))
	38.5b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
	47.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
▶	47.6b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
▶	55.5b	(/.f64 (-.f64 b b) (*.f64 3 a))
	46.2b	(/.f64 (.f64 b -2) (.f64 3 a))
▶	42.9b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	46.5b	(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
	52.7b	(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/3 (/.f64 b a)))
▶	46.3b	(*.f64 (/.f64 b a) -2/3)
	52.5b	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
▶	36.5b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 502 to 336 computations (33.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	0	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b))

rewrite148.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	17	13
2	87	13
3	556	13
4	3758	13

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))

Outputs
()

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 b a) -2/3)

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(*.f64 (/.f64 b a) -2/3)
1.0ms	b	@	0	(*.f64 (/.f64 b a) -2/3)
0.0ms	b	@	inf	(*.f64 (/.f64 b a) -2/3)
0.0ms	a	@	0	(*.f64 (/.f64 b a) -2/3)
0.0ms	b	@	-inf	(*.f64 (/.f64 b a) -2/3)

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
676×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	17	13
2	87	13
3	556	13
4	3752	13

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(*.f64 (/.f64 b a) -2/3)

Outputs
()

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	312
1	17	312
2	87	312
3	556	312
4	3758	312

Stop Event

1×	node limit

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

localize7.0ms (0.1%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -3/2 (/.f64 (.f64 c a) b))
✓	6.7b	(/.f64 (*.f64 c a) b)
✓	8.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 (*.f64 c a) b)
0.0ms	a	@	0	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
0.0ms	c	@	0	(/.f64 (*.f64 c a) b)
0.0ms	b	@	-inf	(/.f64 (*.f64 c a) b)
0.0ms	a	@	0	(/.f64 (*.f64 c a) b)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best-simplify-113`
454×	`rational_best-simplify-3`
452×	`rational_best-simplify-126`
452×	`rational_best-simplify-124`
444×	`rational_best-simplify-127`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	33	63
2	188	63
3	1234	63

Stop Event

1×	node limit

Counts

3 → 4

Calls

Call 1

Inputs
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(/.f64 (*.f64 c a) b)
(.f64 -3/2 (/.f64 (.f64 c a) b))

Outputs

()

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (*.f64 c a) b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 c a) b) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 c a) b) 3/2))))))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

724×	`rational_best-simplify-61`
710×	`rational_best-simplify-65`
704×	`rational_best-simplify-96`
694×	`rational_best-simplify-110`
592×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	568
1	94	544
2	495	544
3	3518	544

Stop Event

1×	node limit

Counts

40 → 7

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(-.f64 0 (.f64 (/.f64 (.f64 c a) b) 3/2))
(/.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) -1)
(neg.f64 (.f64 (/.f64 (.f64 c a) b) 3/2))

Outputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(-.f64 0 (.f64 (/.f64 (.f64 c a) b) 3/2))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) -1)
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.f64 (.f64 (/.f64 (.f64 c a) b) 3/2))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) 0)
(.f64 -3/2 (/.f64 (.f64 c a) b))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)
✓	0.2b	(.f64 -3 (.f64 c a))
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
✓	15.6b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series15.0ms (0.2%)

Counts

4 → 28

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
1.0ms	c	@	0	(sqrt.f64 (.f64 -3 (.f64 c a)))
1.0ms	c	@	0	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
1.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
1.0ms	c	@	-inf	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`rational_best-simplify-113`
634×	`rational_best-simplify-111`
574×	`rational_best-simplify-3`
540×	`rational_best-simplify-61`
534×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	55	88
2	262	88
3	1675	88

Stop Event

1×	node limit

Counts

4 → 48

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
(.f64 -3 (.f64 c a))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (sqrt.f64 (.f64 -3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (.f64 (sqrt.f64 -3) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 (.f64 -3 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 c a))) (neg.f64 (sqrt.f64 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 -3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 -3) (sqrt.f64 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))))))
()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c 0) (.f64 c (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (*.f64 a 3) c))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))))))

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational_best-simplify-61`
942×	`rational_best-simplify-3`
622×	`rational_best-simplify-53`
608×	`rational_best-simplify-62`
578×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	1682
1	671	1670
2	4277	1670

Stop Event

1×	node limit

Counts

76 → 62

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 -3 (*.f64 c a)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 -3 (*.f64 c a)))) -1)
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -3 a)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 -3) (sqrt.f64 c)))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 -3 c)))
(.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))
(.f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (.f64 c a))))
(.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (neg.f64 (sqrt.f64 -3)))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 -3 a))))
(.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 c)) (sqrt.f64 a))
(.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(-.f64 (.f64 c 0) (.f64 c (*.f64 a 3)))
(neg.f64 (.f64 (.f64 a 3) c))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a))))
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0))
(+.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)
(/.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))))
(pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0)
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 -3 (*.f64 c a)))))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 -3 (*.f64 c a)))) -1)
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -3 a)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 -3) (sqrt.f64 c)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 -3 c)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (.f64 c a))))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (neg.f64 (sqrt.f64 -3)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 -3 a))))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 c)) (sqrt.f64 a))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(sqrt.f64 (.f64 c (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 (.f64 c 0) (.f64 c (*.f64 a 3)))
(.f64 c (-.f64 0 (.f64 a 3)))
(.f64 a (.f64 c -3))
(neg.f64 (.f64 (.f64 a 3) c))
(.f64 c (-.f64 0 (.f64 a 3)))
(.f64 a (.f64 c -3))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 c a)))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))) -1)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) -1)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) b)) 2)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) -2)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a)))) 1))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) -4)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a))))))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (sqrt.f64 (.f64 -3 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)

eval22.0ms (0.3%)

Compiler: Compiled 1442 to 878 computations (39.1% saved)

prune28.0ms (0.3%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	1	6	7
Picked	0	1	1
Done	0	6	6
Total	64	20	84

Error

0.4b

Counts

84 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	55.5b	(/.f64 (if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (*.f64 3 a))
▶	38.5b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 3 a))
	50.5b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (.f64 3 a))
	52.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a)) b) (*.f64 3 a))
▶	53.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
▶	47.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
✓	47.6b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
✓	55.5b	(/.f64 (-.f64 b b) (*.f64 3 a))
	46.2b	(/.f64 (.f64 b -2) (.f64 3 a))
✓	42.9b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	46.0b	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
	46.1b	(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
	46.5b	(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
	52.7b	(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/3 (/.f64 b a)))
✓	46.3b	(*.f64 (/.f64 b a) -2/3)
▶	52.5b	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
▶	59.3b	(*.f64 -1/3 (/.f64 b a))
✓	36.5b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 601 to 418 computations (30.4% saved)

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))
	1.2b	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
✓	9.5b	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)
	23.5b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

Compiler

Compiled 155 to 83 computations (46.5% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)
0.0ms	c	@	inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)
0.0ms	c	@	-inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)
0.0ms	a	@	-inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)
0.0ms	b	@	0	(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational_best-simplify-113`
656×	`rational_best-simplify-111`
574×	`rational_best-simplify-96`
568×	`rational_best-simplify-117`
560×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	54	47
2	255	47
3	1657	47

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (/.f64 (*.f64 b (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b)) b))))))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

806×	`rational_best-simplify-65`
788×	`rational_best-simplify-61`
678×	`rational_best-simplify-113`
642×	`rational_best-simplify-62`
586×	`rational_best-simplify-117`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1579
1	411	1523
2	2260	1487

Stop Event

1×	node limit

Counts

21 → 46

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(if (!=.f64 b 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)) b))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1 b)))
(+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))))
(+.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) (*.f64 -1 b))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (+.f64 (neg.f64 b) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (-.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -27)))) b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 81/64 (pow.f64 (pow.f64 (.f64 c a) 2) 2)) (.f64 81/16 (pow.f64 (*.f64 c a) 4))) (pow.f64 b 7)))))
(+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 c a) 4) 81/64) (.f64 81/16 (pow.f64 (*.f64 c a) 4))) (pow.f64 b 7)))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 c a) 4) 405/64) (pow.f64 b 7))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 b -2) (.f64 (/.f64 (*.f64 c a) b) 3/2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 b -2) (+.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) 9/8)))
(-.f64 (+.f64 (.f64 b -2) (.f64 (/.f64 (.f64 c a) b) 3/2)) (.f64 -9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(+.f64 (+.f64 (.f64 b -2) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 (/.f64 (*.f64 c a) b) 3/2)))
(+.f64 (-.f64 (+.f64 (.f64 b -2) (.f64 (/.f64 (.f64 c a) b) 3/2)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16))
(+.f64 (.f64 b -2) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b))))
(+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (.f64 81/64 (pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) 2)))) b)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (+.f64 (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (.f64 81/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)))) b))) (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (.f64 81/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)))) b)) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (.f64 81/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)))) b)))))
(if (!=.f64 b 0) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)) b))
(/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 -1/3 (/.f64 b a))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(*.f64 -1/3 (/.f64 b a))
0.0ms	b	@	-inf	(*.f64 -1/3 (/.f64 b a))
0.0ms	b	@	0	(*.f64 -1/3 (/.f64 b a))
0.0ms	a	@	inf	(*.f64 -1/3 (/.f64 b a))
0.0ms	a	@	-inf	(*.f64 -1/3 (/.f64 b a))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	17	13
2	87	13
3	556	13
4	3758	13

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))

Outputs
()

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 c a) -3)
✓	0.3b	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
✓	9.7b	(sqrt.f64 (*.f64 (/.f64 c a) -3))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
1.0ms	c	@	0	(sqrt.f64 (*.f64 (/.f64 c a) -3))
0.0ms	c	@	-inf	(sqrt.f64 (*.f64 (/.f64 c a) -3))
0.0ms	c	@	inf	(sqrt.f64 (*.f64 (/.f64 c a) -3))
0.0ms	c	@	-inf	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-simplify-61`
1154×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
676×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	25	53
2	97	53
3	570	53
4	3768	53

Stop Event

1×	node limit

Counts

3 → 2

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (/.f64 c a) -3))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(*.f64 (/.f64 c a) -3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))))
()
()

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best-simplify-61`
1146×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
678×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	346
1	23	346
2	92	346
3	561	346
4	3762	346

Stop Event

1×	node limit

Counts

26 → 4

Calls

Call 1

Inputs
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))

Outputs
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 -3 (/.f64 c a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (*.f64 -3 (/.f64 c a)))
(*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))
(sqrt.f64 (*.f64 -3 (/.f64 c a)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
✓	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series4.0ms (0%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(sqrt.f64 (.f64 c (.f64 a -3)))
0.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
0.0ms	c	@	inf	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
0.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
0.0ms	c	@	-inf	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational_best-simplify-113`
632×	`rational_best-simplify-111`
574×	`rational_best-simplify-3`
540×	`rational_best-simplify-61`
534×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	55	88
2	262	88
3	1673	88

Stop Event

1×	node limit

Counts

4 → 48

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -3)))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
(.f64 c (.f64 a -3))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (.f64 (sqrt.f64 c) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 a -3))) (neg.f64 (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))))))
()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c 0) (.f64 c (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (*.f64 a 3) c))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))))))

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational_best-simplify-61`
1004×	`rational_best-simplify-3`
624×	`rational_best-simplify-53`
610×	`rational_best-simplify-62`
570×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	2218
1	697	2206
2	4402	2206

Stop Event

1×	node limit

Counts

100 → 65

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3)))
(.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 c (*.f64 a -3)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 c (*.f64 a -3)))) -1)
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 c) (sqrt.f64 a)))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 a -3))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a -3))) (neg.f64 (sqrt.f64 c)))
(.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (.f64 c -3))))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 -3))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))
(-.f64 (.f64 c 0) (.f64 c (*.f64 a 3)))
(neg.f64 (.f64 (.f64 a 3) c))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3))))
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 a -3)))))
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0))
(+.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) -1)
(/.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))))
(pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(if (!=.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0)
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 c (*.f64 a -3)))))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 c (*.f64 a -3)))) -1)
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 c) (sqrt.f64 a)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 a -3))))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 a -3))) (neg.f64 (sqrt.f64 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (.f64 c -3))))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) -1)
(sqrt.f64 (.f64 a (.f64 c -3)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))))
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 (.f64 c 0) (.f64 c (*.f64 a 3)))
(.f64 a (.f64 c -3))
(neg.f64 (.f64 (.f64 a 3) c))
(.f64 a (.f64 c -3))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 a -3)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) -1)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) -1)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) 2)
(/.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c)))) 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c))) (+.f64 b b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) -2)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) 1))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) -4)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))) (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (-.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) -2) (.f64 (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c)))) (+.f64 (-.f64 (neg.f64 b) b) (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c)))))) (-.f64 4 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c -3))))) -2)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c))) (+.f64 b b)) (-.f64 (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c))) (+.f64 b b))) (.f64 -2 (+.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)))) (+.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c -3))))) -2) -4))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c))) (+.f64 b b)) (-.f64 (.f64 (sqrt.f64 (.f64 a -3)) (+.f64 (sqrt.f64 c) (sqrt.f64 c))) (+.f64 b b))) (.f64 -2 (+.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (-.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))) (+.f64 -4 (.f64 2 (+.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (-.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) b)))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b)
✓	0.1b	(sqrt.f64 (*.f64 -3 a))
✓	0.1b	(.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))
✓	0.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series11.0ms (0.1%)

Counts

4 → 28

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))
1.0ms	a	@	-inf	(sqrt.f64 (*.f64 -3 a))
0.0ms	c	@	-inf	(.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))
0.0ms	a	@	0	(sqrt.f64 (*.f64 -3 a))
0.0ms	c	@	-inf	(-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b)

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational_best-simplify-113`
632×	`rational_best-simplify-111`
592×	`rational_best-simplify-3`
544×	`rational_best-simplify-61`
534×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	56	86
2	260	86
3	1694	86

Stop Event

1×	node limit

Counts

4 → 36

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))
(.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c))
(sqrt.f64 (*.f64 -3 a))
(-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b)

Outputs
()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 -3 (.f64 a c)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 -3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))))))

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational_best-simplify-61`
998×	`rational_best-simplify-65`
774×	`rational_best-simplify-3`
588×	`rational_best-simplify-62`
540×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1462
1	584	1462
2	3798	1462

Stop Event

1×	node limit

Counts

64 → 51

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(sqrt.f64 (.f64 -3 (.f64 a c)))
(*.f64 (sqrt.f64 -3) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 -3))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c))))
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0))
(+.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)
(/.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))))
(pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0)
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(sqrt.f64 (.f64 -3 (.f64 a c)))
(sqrt.f64 (.f64 a (.f64 -3 c)))
(sqrt.f64 (.f64 a (.f64 c -3)))
(*.f64 (sqrt.f64 -3) (sqrt.f64 a))
(sqrt.f64 (*.f64 a -3))
(*.f64 (sqrt.f64 a) (sqrt.f64 -3))
(sqrt.f64 (*.f64 a -3))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 -3 (.f64 a c)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 0 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) -1)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) -1)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) b)) 2)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) -2)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) 1))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) -4)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c))))))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(pow.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 1)
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 -3 (.f64 a c)) (.f64 a c)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 -3 (.f64 a c)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (sqrt.f64 (.f64 -3 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b))
(-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)

eval290.0ms (3.5%)

Compiler: Compiled 19988 to 11989 computations (40% saved)

prune108.0ms (1.3%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	4	4	8
Picked	0	1	1
Done	1	10	11
Total	432	20	452

Error

0.4b

Counts

452 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	55.5b	(/.f64 (if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (*.f64 3 a))
	52.3b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (-.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) b) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
▶	50.5b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
▶	52.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (*.f64 3 a))
✓	53.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
✓	47.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
✓	47.6b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
✓	55.5b	(/.f64 (-.f64 b b) (*.f64 3 a))
▶	46.2b	(/.f64 (.f64 b -2) (.f64 3 a))
✓	42.9b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	46.0b	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
▶	46.1b	(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
	52.7b	(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
	46.5b	(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
✓	46.3b	(*.f64 (/.f64 b a) -2/3)
✓	52.5b	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
✓	59.3b	(*.f64 -1/3 (/.f64 b a))
✓	36.5b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 557 to 394 computations (29.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
0.0ms	c	@	0	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
0.0ms	a	@	inf	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
0.0ms	c	@	inf	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
0.0ms	c	@	-inf	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-simplify-61`
1206×	`rational_best-simplify-52`
838×	`rational_best-simplify-53`
782×	`rational_best-simplify-56`
668×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	29	29
2	119	29
3	683	29
4	4574	29

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))

Outputs
()

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 b -2) (.f64 3 a))

Compiler

Compiled 20 to 14 computations (30% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (.f64 b -2) (.f64 3 a))
0.0ms	b	@	inf	(/.f64 (.f64 b -2) (.f64 3 a))
0.0ms	b	@	-inf	(/.f64 (.f64 b -2) (.f64 3 a))
0.0ms	a	@	-inf	(/.f64 (.f64 b -2) (.f64 3 a))
0.0ms	a	@	inf	(/.f64 (.f64 b -2) (.f64 3 a))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best-simplify-61`
1124×	`rational_best-simplify-52`
808×	`rational_best-simplify-53`
754×	`rational_best-simplify-56`
560×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	102	19
3	641	19
4	4429	19

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (.f64 b -2) (.f64 3 a))

Outputs
()

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	312
1	17	312
2	87	312
3	556	312
4	3758	312

Stop Event

1×	node limit

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 c -3))
✓	0.3b	(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
✓	15.6b	(sqrt.f64 (.f64 a (.f64 c -3)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(sqrt.f64 (.f64 a (.f64 c -3)))
0.0ms	a	@	0	(sqrt.f64 (.f64 a (.f64 c -3)))
0.0ms	a	@	inf	(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
0.0ms	c	@	inf	(sqrt.f64 (.f64 a (.f64 c -3)))
0.0ms	a	@	0	(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))

rewrite88.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-simplify-61`
1206×	`rational_best-simplify-52`
838×	`rational_best-simplify-53`
782×	`rational_best-simplify-56`
668×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	29	59
2	119	59
3	683	59
4	4574	59

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 c -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(.f64 a (.f64 c -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -3)) (neg.f64 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -3)) (neg.f64 (neg.f64 (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (*.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 c -3))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 a -3))) (neg.f64 (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c -3)))))))))

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 c c) (*.f64 a (*.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 c (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 c c) (*.f64 c (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 c (*.f64 a 3)))))))

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

822×	`rational_best-simplify-52`
752×	`rational_best-simplify-113`
712×	`rational_best-simplify-53`
370×	`rational_best-simplify-1`
368×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	802
1	231	802
2	1121	802
3	6590	802

Stop Event

1×	node limit

Counts

54 → 32

Calls

Call 1

Inputs
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 0)
(+.f64 0 (sqrt.f64 (.f64 a (.f64 c -3))))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))
(.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) 1)
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))
(.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (.f64 c -3)))))
(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
(.f64 (sqrt.f64 (.f64 c -3)) (neg.f64 (neg.f64 (sqrt.f64 a))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (*.f64 c -3)))) -1)
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3)))
(.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))
(.f64 (sqrt.f64 (.f64 a -3)) (neg.f64 (neg.f64 (sqrt.f64 c))))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 a c)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (*.f64 c -3)))))
(.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (.f64 c -3))))
(.f64 (neg.f64 (sqrt.f64 (.f64 c -3))) (neg.f64 (sqrt.f64 a)))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 a -3))))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -3))
(.f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (.f64 a c))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a -3))) (neg.f64 (sqrt.f64 c)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)
(/.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))) -1)
(pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))
(+.f64 (-.f64 c c) (.f64 a (.f64 c -3)))
(-.f64 0 (.f64 c (.f64 a 3)))
(-.f64 (-.f64 c c) (.f64 c (.f64 a 3)))
(/.f64 (.f64 c (.f64 a 3)) -1)
(neg.f64 (.f64 c (.f64 a 3)))

Outputs
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 0)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(+.f64 0 (sqrt.f64 (.f64 a (.f64 c -3))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 0)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) 1)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (.f64 c -3)))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c -3)) (neg.f64 (neg.f64 (sqrt.f64 a))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (*.f64 c -3)))) -1)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 a -3)) (neg.f64 (neg.f64 (sqrt.f64 c))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 a c)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (*.f64 c -3)))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (.f64 c -3))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 (.f64 c -3))) (neg.f64 (sqrt.f64 a)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (.f64 a -3))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -3))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 -3)) (neg.f64 (sqrt.f64 (.f64 a c))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 (.f64 a -3))) (neg.f64 (sqrt.f64 c)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))) -1)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)
(sqrt.f64 (.f64 -3 (.f64 c a)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(+.f64 (-.f64 c c) (.f64 a (.f64 c -3)))
(.f64 -3 (.f64 c a))
(-.f64 0 (.f64 c (.f64 a 3)))
(.f64 -3 (.f64 c a))
(-.f64 (-.f64 c c) (.f64 c (.f64 a 3)))
(.f64 -3 (.f64 c a))
(/.f64 (.f64 c (.f64 a 3)) -1)
(.f64 -3 (.f64 c a))
(neg.f64 (.f64 c (.f64 a 3)))
(.f64 -3 (.f64 c a))

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3)))) b)
✓	12.1b	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)
	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))
	23.5b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -3))))

Compiler

Compiled 153 to 88 computations (42.5% saved)

series1.0ms (0%)

Counts

1 → 14

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)
0.0ms	a	@	inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)
0.0ms	c	@	-inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)
0.0ms	c	@	inf	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)
0.0ms	b	@	0	(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational_best-simplify-113`
562×	`rational_best-simplify-124`
546×	`rational_best-simplify-111`
504×	`rational_best-simplify-61`
498×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	52	35
2	238	35
3	1492	35

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b))))))

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

624×	`rational_best-simplify-111`
582×	`rational_best-simplify-124`
522×	`rational_best-simplify-3`
520×	`rational_best-simplify-61`
512×	`rational_best-simplify-110`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	373
1	70	279
2	295	279
3	1699	279

Stop Event

1×	node limit

Counts

15 → 10

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(*.f64 -1 b)
(if (!=.f64 b 0) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(if (!=.f64 b 0) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b))
(/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) b)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b)
✓	0.1b	(sqrt.f64 (*.f64 c -3))
✓	0.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (*.f64 3 a))
✓	0.1b	(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series6.0ms (0.1%)

Counts

4 → 28

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (*.f64 3 a))
1.0ms	a	@	-inf	(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
0.0ms	c	@	inf	(sqrt.f64 (*.f64 c -3))
0.0ms	a	@	-inf	(-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b)
0.0ms	c	@	0	(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational_best-simplify-113`
630×	`rational_best-simplify-111`
592×	`rational_best-simplify-3`
544×	`rational_best-simplify-61`
534×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	56	86
2	260	86
3	1684	86

Stop Event

1×	node limit

Counts

4 → 36

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (*.f64 3 a))
(sqrt.f64 (*.f64 c -3))
(-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 c (.f64 -3 a)))))))
()
((#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 c))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))))))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-61`
996×	`rational_best-simplify-65`
736×	`rational_best-simplify-3`
590×	`rational_best-simplify-62`
540×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1614
1	588	1462
2	3732	1462

Stop Event

1×	node limit

Counts

64 → 50

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(sqrt.f64 (.f64 c (.f64 -3 a)))
(*.f64 (sqrt.f64 c) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (sqrt.f64 c))
(+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (neg.f64 b))
(+.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a))))
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0))
(+.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b) 1)
(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) -1)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)
(/.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) b)) 2)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) -2)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))))
(pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(if (!=.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (sqrt.f64 (*.f64 (/.f64 c a) -3))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0)
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(sqrt.f64 (.f64 c (.f64 -3 a)))
(sqrt.f64 (.f64 (.f64 a c) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(*.f64 (sqrt.f64 c) (sqrt.f64 -3))
(sqrt.f64 (*.f64 c -3))
(*.f64 (sqrt.f64 -3) (sqrt.f64 c))
(sqrt.f64 (*.f64 c -3))
(+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (neg.f64 b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 0 (sqrt.f64 (.f64 c (.f64 -3 a)))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 (neg.f64 b) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(+.f64 0 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b) 1)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) -1)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) -1)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) b)) 2)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) -2)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) 1))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) -4)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (+.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (+.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a))))))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a))))))) (.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1)) (.f64 (+.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 1) (.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 -1 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(pow.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1)
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(neg.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 -3 a)) (.f64 c (.f64 -3 a)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 b) 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 -3 a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b)) (sqrt.f64 (.f64 c (.f64 -3 a)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 0)) 0) (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b))
(+.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)

eval116.0ms (1.4%)

Compiler: Compiled 7965 to 5060 computations (36.5% saved)

prune51.0ms (0.6%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	227	3	230
Fresh	0	4	4
Picked	1	0	1
Done	3	12	15
Total	231	19	250

Error

0.4b

Counts

250 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	55.5b	(/.f64 (if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (*.f64 3 a))
	52.3b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (-.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) b) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
✓	50.5b	(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
✓	47.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
✓	55.5b	(/.f64 (-.f64 b b) (*.f64 3 a))
	52.8b	(/.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) (*.f64 3 a))
	53.7b	(/.f64 (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c)) (*.f64 3 a))
✓	46.2b	(/.f64 (.f64 b -2) (.f64 3 a))
✓	42.9b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	46.1b	(/.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (*.f64 3 a))
✓	46.0b	(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
	52.7b	(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
	46.5b	(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
✓	46.3b	(*.f64 (/.f64 b a) -2/3)
✓	52.5b	(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
✓	59.3b	(*.f64 -1/3 (/.f64 b a))
✓	36.5b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 331 to 236 computations (28.7% saved)

regimes453.0ms (5.4%)

Counts

30 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) b) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (.f64 3 a))
(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (-.f64 (.f64 (/.f64 (.f64 c a) b) 3/2) b) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (*.f64 3 a))
(/.f64 (if (!=.f64 b 0) (/.f64 (.f64 b (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) b) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 3 a))
(/.f64 (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c)) (*.f64 3 a))
(/.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) (*.f64 3 a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 a)) (sqrt.f64 c)) b) (*.f64 3 a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a)) b) (*.f64 3 a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (*.f64 3 a))
(/.f64 (if (!=.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 (.f64 c a) (.f64 -3 (.f64 c a))))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)) (*.f64 3 a))
(/.f64 (if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (*.f64 3 a))
(/.f64 (if (!=.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3))) (+.f64 (.f64 b b) (.f64 c (.f64 a -3))))) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b)) (.f64 3 a))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

5 calls:

152.0ms	c
111.0ms	(*.f64 3 a)
99.0ms	a
44.0ms	b
35.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Results

Error	Segments	Branch
24.6b	7	`a`
9.6b	3	`b`
25.6b	11	`c`
12.4b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.6b	7	`(*.f64 3 a)`

Compiler

Compiled 587 to 352 computations (40% saved)

bsearch55.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.1443307245978352e-137	3.0488229713242695e-134
27.0ms	-3.945996435372238e+129	-3.267210201465106e+126

Results

34.0ms	232×	body	256	valid
6.0ms	49×	body	256	invalid
5.0ms	41×	body	256	infinite
4.0ms	12×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 506 to 371 computations (26.7% saved)

regimes158.0ms (1.9%)

Counts

15 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 -1/3 (/.f64 b a)) (.f64 (sqrt.f64 (*.f64 (/.f64 c a) -3)) -1/3))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

48.0ms	c
41.0ms	a
40.0ms	(*.f64 3 a)
26.0ms	b

Results

Error	Segments	Branch
31.3b	5	`a`
13.1b	3	`b`
32.5b	6	`c`
31.3b	5	`(*.f64 3 a)`

Compiler

Compiled 162 to 104 computations (35.8% saved)

bsearch59.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.1443307245978352e-137	3.0488229713242695e-134
29.0ms	-1.0729655492700542e-154	-1.301498929657502e-171

Results

34.0ms	265×	body	256	valid
14.0ms	96×	body	256	invalid
3.0ms	11×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 496 to 381 computations (23.2% saved)

regimes138.0ms (1.7%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

40.0ms	c
38.0ms	a
34.0ms	(*.f64 3 a)
23.0ms	b

Results

Error	Segments	Branch
31.3b	5	`a`
13.1b	3	`b`
32.6b	6	`c`
31.3b	5	`(*.f64 3 a)`

Compiler

Compiled 122 to 80 computations (34.4% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	2.1443307245978352e-137	3.0488229713242695e-134
29.0ms	-1.0729655492700542e-154	-1.301498929657502e-171

Results

33.0ms	261×	body	256	valid
13.0ms	107×	body	256	invalid
4.0ms	12×	body	1024	valid
3.0ms	13×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 496 to 381 computations (23.2% saved)

regimes114.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
(/.f64 (sqrt.f64 (.f64 (.f64 a c) -3)) (*.f64 3 a))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

33.0ms	c
31.0ms	a
28.0ms	(*.f64 3 a)
18.0ms	b

Results

Error	Segments	Branch
31.6b	5	`a`
13.1b	3	`b`
32.6b	6	`c`
31.6b	5	`(*.f64 3 a)`

Compiler

Compiled 110 to 73 computations (33.6% saved)

bsearch58.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.1443307245978352e-137	3.0488229713242695e-134
32.0ms	-1.0729655492700542e-154	-1.301498929657502e-171

Results

36.0ms	261×	body	256	valid
11.0ms	89×	body	256	invalid
3.0ms	16×	body	512	valid
3.0ms	11×	body	1024	valid

Compiler

Compiled 460 to 363 computations (21.1% saved)

regimes99.0ms (1.2%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

30.0ms	c
26.0ms	(*.f64 3 a)
25.0ms	a
16.0ms	b

Results

Error	Segments	Branch
31.6b	5	`a`
13.2b	3	`b`
32.6b	6	`c`
31.6b	5	`(*.f64 3 a)`

Compiler

Compiled 90 to 59 computations (34.4% saved)

bsearch58.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.1443307245978352e-137	3.0488229713242695e-134
29.0ms	-1.0729655492700542e-154	-1.301498929657502e-171

Results

34.0ms	263×	body	256	valid
13.0ms	118×	body	256	invalid
4.0ms	15×	body	1024	valid
2.0ms	9×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 460 to 363 computations (21.1% saved)

regimes74.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3)))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

19.0ms	(*.f64 3 a)
19.0ms	a
18.0ms	c
16.0ms	b

Results

Error	Segments	Branch
32.9b	4	`a`
16.9b	3	`b`
33.7b	4	`c`
32.9b	4	`(*.f64 3 a)`

Compiler

Compiled 80 to 52 computations (35% saved)

bsearch57.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	8.536538634839789e-173	1.1833410796801047e-168
31.0ms	-1.0729655492700542e-154	-1.301498929657502e-171

Results

34.0ms	275×	body	256	valid
15.0ms	117×	body	256	invalid
3.0ms	11×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 424 to 345 computations (18.6% saved)

regimes52.0ms (0.6%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (-.f64 b b) (*.f64 3 a))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))

Outputs
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 -1/2 (/.f64 c b))

Calls

4 calls:

14.0ms	(*.f64 3 a)
13.0ms	c
13.0ms	a
10.0ms	b

Results

Error	Segments	Branch
35.2b	3	`a`
20.3b	2	`b`
35.3b	3	`c`
35.2b	3	`(*.f64 3 a)`

Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2.251481841825324e-301	9.943647860266229e-301

Results

12.0ms	96×	body	256	valid
7.0ms	52×	body	256	invalid

Compiler

Compiled 146 to 115 computations (21.2% saved)

regimes27.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)

Outputs
(*.f64 (/.f64 b a) -2/3)
(*.f64 -1/2 (/.f64 c b))

Calls

3 calls:

9.0ms	a
9.0ms	c
7.0ms	b

Results

Error	Segments	Branch
35.3b	3	`a`
20.4b	2	`b`
35.3b	3	`c`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	2.251481841825324e-301	9.943647860266229e-301

Results

12.0ms	96×	body	256	valid
7.0ms	57×	body	256	invalid

Compiler

Compiled 134 to 103 computations (23.1% saved)

regimes13.0ms (0.2%)

Accuracy

Total -29.1b remaining (-87%)

Threshold costs -29.1b (-87%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/3 (/.f64 b a))

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))

Calls

3 calls:

6.0ms	b
3.0ms	c
3.0ms	a

Results

Error	Segments	Branch
36.5b	1	`a`
33.4b	2	`b`
36.5b	1	`c`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	2.251481841825324e-301	9.943647860266229e-301

Results

11.0ms	96×	body	256	valid
7.0ms	51×	body	256	invalid

Compiler

Compiled 134 to 103 computations (23.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	622

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -5500000000000000413459678040850147451092859853938245174156000062967712588833283625654976056037669194855462752713688894796726272) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -6340256873700189/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -6340256873700189/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 2004951747336387/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -531373909414873/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 5237424972633827/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -272063441620415/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 2148162586431843/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2904660898216695/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 3136669746631429/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (/.f64 (.f64 b -2) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 588125577493393/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 (/.f64 b a) -2/3) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 11545734494061/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 -1/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))

Outputs
(if (<=.f64 b -5500000000000000413459678040850147451092859853938245174156000062967712588833283625654976056037669194855462752713688894796726272) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -6340256873700189/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -6340256873700189/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 2004951747336387/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -531373909414873/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 5237424972633827/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -272063441620415/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 2148162586431843/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2904660898216695/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (.f64 1/3 (sqrt.f64 (.f64 (/.f64 c a) -3))) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 3136669746631429/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (/.f64 (.f64 b -2) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 588125577493393/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 (/.f64 b a) -2/3) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 11545734494061/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 -1/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 267 to 192 computations (28.1% saved)

soundness207.0ms (2.5%)

Algorithm

4×	egg-herbie

Rules

718×	`rational_best-simplify-111`
718×	`rational_best-simplify-111`
718×	`rational_best-simplify-111`
710×	`rational_best-simplify-96`
710×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	58	47
2	315	47
3	2033	47
0	333	7321
1	1500	7285
0	15	51
1	58	47
2	315	47
3	2033	47
0	15	51
1	58	47
2	315	47
3	2033	47

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 380 to 229 computations (39.7% saved)

end98.0ms (1.2%)

Compiler: Compiled 240 to 155 computations (35.4% saved)