Details

analyze315.0ms (2.1%)

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%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.0s (13.5%)

Results

721.0ms	5592×	body	256	valid
506.0ms	1157×	body	2048	valid
217.0ms	729×	body	1024	valid
205.0ms	427×	body	4096	valid
190.0ms	351×	body	512	valid
141.0ms	1197×	body	256	invalid
45.0ms	354×	body	256	infinite

Bogosity

preprocess25.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

18×	`rational.json-simplify-2`
12×	`rational.json-simplify-54`
12×	`rational.json-simplify-55`
8×	`rational.json-simplify-1`
6×	`rational.json-simplify-12`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	53	156
2	62	156
3	68	156
4	80	156
5	80	156
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-2`
4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-12`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	21	39
2	24	39
3	26	39
4	30	39
5	30	39

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.1b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	20.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite152.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`rational.json-simplify-47`
766×	`rational.json-simplify-49`
748×	`rational.json-simplify-50`
644×	`rational.json-5`
642×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	113	114
2	377	114
3	1371	114
4	5660	106

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 b_2 1) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 b_2 1) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 b_2) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (+.f64 b_2 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 -1 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 b_2 1)) (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 b_2 1) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 b_2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (/.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 a c) (.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 (-.f64 (.f64 a c) (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 -1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 a c) (*.f64 b_2 b_2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 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b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) 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(.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))))

simplify183.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-54`
1150×	`rational.json-simplify-1`
1098×	`rational.json-simplify-50`
680×	`rational.json-simplify-2`
632×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7529
1	795	7485
2	1699	7329
3	4204	7329

Stop Event

1×	node limit

Counts

195 → 238

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
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(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (/.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)
(neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 0)
(+.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) -1)))
(+.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))
(+.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) -1)) 1)
(.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1)
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(.f64 -1 (+.f64 (.f64 a c) (*.f64 b_2 (neg.f64 b_2))))
(.f64 (-.f64 (.f64 a c) (*.f64 b_2 b_2)) -1)
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 (-.f64 (.f64 a c) (.f64 b_2 b_2))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 -1 (-.f64 (.f64 b_2 b_2) (-.f64 (*.f64 a c) -1))))
(.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(/.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)) -1)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(neg.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0)
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1)))))))
(+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2)))
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(+.f64 (neg.f64 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)))
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(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 b_2))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 5/64) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (*.f64 b_2 -2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) (.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
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(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) 2)) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6))))) b_2)))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) 2)) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6))))) b_2) (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) 2)) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6))))) b_2)))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) 2)) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6))))) b_2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
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(/.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)) -1)
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(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
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(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))
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(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0)
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(-.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
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(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
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(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

eval96.0ms (0.6%)

Compiler: Compiled 7740 to 3360 computations (56.6% saved)

prune56.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	224	14	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	14	239

Error

2.4b

Counts

239 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
	45.1b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
	45.6b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	44.3b	(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
	47.6b	(/.f64 (+.f64 (neg.f64 b_2) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
▶	47.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	54.0b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
▶	43.4b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	44.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	54.8b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
	45.5b	(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
	38.4b	(*.f64 -1/2 (/.f64 c b_2))
▶	44.8b	(*.f64 -2 (/.f64 b_2 a))
▶	54.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 504 to 276 computations (45.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
✓	20.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
0.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
0.0ms	a	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
0.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

rewrite146.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational.json-simplify-47`
742×	`rational.json-simplify-54`
688×	`rational.json-simplify-50`
680×	`rational.json-simplify-49`
598×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	100	106
2	340	106
3	1271	106
4	5179	106

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 b_2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 b_2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) (-.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 b_2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) (/.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 1) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 c a)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 c a)) (+.f64 1 (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 -1 (-.f64 (.f64 c a) (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 -1 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))))

simplify174.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1542×	`rational.json-simplify-54`
1084×	`rational.json-simplify-50`
976×	`rational.json-simplify-1`
812×	`rational.json-simplify-41`
678×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	7189
1	692	7133
2	1496	6973
3	3775	6973

Stop Event

1×	node limit

Counts

183 → 228

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
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(*.f64 -2 b_2)
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(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) -1)
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 1)
(neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 0)
(+.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(+.f64 1 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1))
(+.f64 (neg.f64 (.f64 c a)) (.f64 b_2 b_2))
(+.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1) 1)
(+.f64 (-.f64 -1 (.f64 c a)) (+.f64 1 (.f64 b_2 b_2)))
(.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1)
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(.f64 (-.f64 (.f64 c a) (*.f64 b_2 b_2)) -1)
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 -1 (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 -1 (-.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1)))
(.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) -1)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(neg.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)))
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)) 1))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))
(.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (+.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b_2 6) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (+.f64 b_2 (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 1/8)))
(+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8))
(+.f64 (neg.f64 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8))) (.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5))))
(+.f64 (+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))
(+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)))
(+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
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b_2
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
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(*.f64 -2 b_2)
(*.f64 b_2 -2)
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 -1 (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 -1 (-.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1)))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) -1)
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(neg.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 0)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(*.f64 -2 (/.f64 b_2 a))
0.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
0.0ms	a	@	0	(*.f64 -2 (/.f64 b_2 a))
0.0ms	a	@	inf	(*.f64 -2 (/.f64 b_2 a))
0.0ms	b_2	@	-inf	(*.f64 -2 (/.f64 b_2 a))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational.json-5`
1348×	`exponential.json-3`
1348×	`rational.json-1`
1348×	`rational.json-2`
1348×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	191	13
3	698	13
4	2727	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify279.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-104`
1072×	`rational.json-simplify-42`
1054×	`rational.json-simplify-79`
970×	`rational.json-simplify-73`
918×	`rational.json-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	90	117
3	217	117
4	547	117
5	1621	117
6	2747	117
7	4162	117
8	4953	117
9	6376	117
10	6951	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(+.f64 0 (*.f64 -2 (/.f64 b_2 a)))
(-.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(-.f64 0 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(/.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))

Outputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(-.f64 0 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (/.f64 (.f64 c a) b_2))
✓	2.8b	(/.f64 (*.f64 c a) b_2)
✓	10.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	inf	(/.f64 (*.f64 c a) b_2)
1.0ms	c	@	0	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
0.0ms	a	@	0	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
0.0ms	b_2	@	inf	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
0.0ms	c	@	inf	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2038×	`rational.json-5`
2036×	`rational.json-1`
2036×	`rational.json-2`
2036×	`rational.json-4`
2036×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	83	57
2	267	57
3	995	57
4	4029	57

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (*.f64 c a) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (/.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (*.f64 (/.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))) (/.f64 (/.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c a) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)) (/.f64 1 (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 1 (/.f64 (*.f64 c a) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2))) (/.f64 (/.f64 1 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) b_2) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 1)))))

simplify180.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-58`
1124×	`rational.json-simplify-47`
910×	`exponential.json-simplify-26`
746×	`rational.json-simplify-2`
708×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	1000
1	103	1000
2	210	1000
3	904	1000
4	3934	1000
5	6424	1000

Stop Event

1×	node limit

Counts

64 → 32

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(+.f64 0 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))
(-.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)
(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(.f64 1 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
(.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1))
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))) (/.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(pow.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 1)
(+.f64 (/.f64 (*.f64 c a) b_2) 0)
(+.f64 0 (/.f64 (*.f64 c a) b_2))
(-.f64 (/.f64 (*.f64 c a) b_2) 0)
(.f64 (/.f64 (.f64 c a) b_2) 1)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(.f64 1 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (/.f64 1 (/.f64 (*.f64 c a) b_2)))
(.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) 1))
(.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))
(.f64 (.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2))) (/.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2))))
(pow.f64 (/.f64 (*.f64 c a) b_2) 1)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 0)
(+.f64 0 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 0)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(pow.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 1)

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 0 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(-.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 1 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))) (/.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(pow.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (/.f64 (*.f64 c a) b_2) 0)
(/.f64 (*.f64 c a) b_2)
(+.f64 0 (/.f64 (*.f64 c a) b_2))
(/.f64 (*.f64 c a) b_2)
(-.f64 (/.f64 (*.f64 c a) b_2) 0)
(/.f64 (*.f64 c a) b_2)
(.f64 (/.f64 (.f64 c a) b_2) 1)
(/.f64 (*.f64 c a) b_2)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(/.f64 (*.f64 c a) b_2)
(.f64 1 (/.f64 (.f64 c a) b_2))
(/.f64 (*.f64 c a) b_2)
(.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (/.f64 1 (/.f64 (*.f64 c a) b_2)))
(/.f64 (*.f64 c a) b_2)
(.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) 1))
(/.f64 (*.f64 c a) b_2)
(.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))
(/.f64 (*.f64 c a) b_2)
(.f64 (.f64 (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2))) (/.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2))))
(/.f64 (*.f64 c a) b_2)
(pow.f64 (/.f64 (*.f64 c a) b_2) 1)
(/.f64 (*.f64 c a) b_2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 0)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 0 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(-.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 0)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 1)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(pow.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) 1)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite133.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-3`
1604×	`rational.json-5`
1602×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	70	15
2	241	15
3	838	15
4	3220	15

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (/.f64 c a)))

Outputs

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

simplify186.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational.json-simplify-49`
1076×	`rational.json-simplify-2`
974×	`rational.json-simplify-47`
918×	`rational.json-simplify-1`
634×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	255
1	66	255
2	134	255
3	382	255
4	1856	255
5	6229	255

Stop Event

1×	node limit

Counts

17 → 18

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	3.5b	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	20.9b	(sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	36.7b	(.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Compiler

Compiled 157 to 29 computations (81.5% saved)

series5.0ms (0%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
0.0ms	a	@	-inf	(sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
0.0ms	a	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
0.0ms	c	@	-inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
0.0ms	c	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))

rewrite307.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`rational.json-simplify-55`
752×	`rational.json-5`
750×	`exponential.json-3`
750×	`rational.json-1`
750×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	237
1	140	75
2	445	75
3	1603	75
4	7132	71

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))

(sqrt.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))

(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 a c) (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 b_2 b_2))) (-.f64 (*.f64 a c) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (*.f64 a c)) (-.f64 -1 (*.f64 b_2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 1 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 b_2) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 -1 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (+.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 1 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (+.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 b_2 1)) (-.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 b_2 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 b_2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))

simplify288.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational.json-simplify-47`
968×	`rational.json-simplify-2`
866×	`rational.json-simplify-1`
794×	`rational.json-simplify-49`
586×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	5164
1	545	4918
2	1109	4894
3	3003	4888
4	7298	4888

Stop Event

1×	node limit

Counts

142 → 154

Calls

Call 1

Inputs
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 1 (-.f64 -1 (-.f64 (.f64 a c) (.f64 b_2 b_2))))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 0)
(+.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))
(+.f64 (-.f64 -1 (-.f64 (.f64 a c) (.f64 b_2 b_2))) 1)
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 0)
(-.f64 0 (-.f64 (.f64 a c) (.f64 b_2 b_2)))
(-.f64 0 (+.f64 (.f64 a c) (.f64 b_2 (neg.f64 b_2))))
(-.f64 (neg.f64 (.f64 a c)) (.f64 b_2 (neg.f64 b_2)))
(-.f64 (-.f64 1 (-.f64 (.f64 a c) (.f64 b_2 b_2))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 b_2 b_2))) (-.f64 (.f64 a c) -1))
(-.f64 (-.f64 (neg.f64 (.f64 a c)) (-.f64 -1 (.f64 b_2 b_2))) 1)
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(/.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)) -1)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(neg.f64 (-.f64 (.f64 a c) (.f64 b_2 b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)
(+.f64 0 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 1))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(-.f64 1 (+.f64 (+.f64 1 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 0)
(-.f64 0 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 0 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(-.f64 (-.f64 -1 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 (-.f64 -1 b_2) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 1 b_2))
(-.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 -1 b_2)) -1)
(-.f64 (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 1 b_2))
(-.f64 (-.f64 (-.f64 -1 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
(-.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 1 b_2)) -1)
(-.f64 (-.f64 (neg.f64 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 1 b_2))
(-.f64 (-.f64 0 (-.f64 b_2 1)) (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(-.f64 (-.f64 0 (-.f64 b_2 (+.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1)
(-.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 b_2 1)) 1)
(.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) 1)
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
(.f64 -1 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) 1))
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)
(neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))

Outputs
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (pow.f64 b_2 2) (neg.f64 (*.f64 c a)))
(+.f64 (pow.f64 b_2 2) (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
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(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2)))
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(+.f64 (neg.f64 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)))
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(+.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (neg.f64 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
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(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 b_2))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 5/64) (pow.f64 b_2 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5))))))
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(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (*.f64 b_2 -2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) (.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))))
(+.f64 (.f64 b_2 -2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
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eval778.0ms (5.1%)

Compiler: Compiled 17636 to 6802 computations (61.4% saved)

prune493.0ms (3.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	551	8	559
Fresh	4	5	9
Picked	1	0	1
Done	0	4	4
Total	556	17	573

Error

2.4b

Counts

573 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
	44.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	54.0b	(/.f64 (-.f64 b_2 b_2) a)
▶	45.1b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
▶	45.6b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	52.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 c (neg.f64 a)))))) a)
✓	43.4b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	48.3b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
	44.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	54.8b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
	45.5b	(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
	56.6b	(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
	59.4b	(.f64 (/.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))) (sqrt.f64 (.f64 (/.f64 c a) (/.f64 c a))))
▶	38.4b	(*.f64 -1/2 (/.f64 c b_2))
✓	44.8b	(*.f64 -2 (/.f64 b_2 a))
✓	54.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 583 to 327 computations (43.9% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	b_2	@	-inf	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	b_2	@	inf	(*.f64 -1/2 (/.f64 c b_2))

rewrite222.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`rational.json-5`
1328×	`exponential.json-3`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	191	13
3	699	13
4	2736	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (/.f64 c b_2) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify287.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational.json-simplify-104`
1186×	`rational.json-simplify-42`
1056×	`rational.json-simplify-79`
970×	`rational.json-simplify-73`
920×	`rational.json-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	90	117
3	219	117
4	547	117
5	1650	117
6	2768	117
7	4181	117
8	4972	117
9	6395	117
10	6970	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(+.f64 0 (*.f64 -1/2 (/.f64 c b_2)))
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(-.f64 0 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (/.f64 c b_2) (/.f64 c b_2)))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(neg.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))

Outputs
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 0 (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 0 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (/.f64 c b_2) (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))

localize5.0ms (0%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 c a) b_2))
	2.8b	(/.f64 (*.f64 c a) b_2)
✓	4.7b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)

Compiler

Compiled 50 to 22 computations (56% saved)

series23.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	b_2	@	-inf	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
1.0ms	c	@	0	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
1.0ms	b_2	@	0	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
0.0ms	b_2	@	inf	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
0.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational.json-simplify-49`
834×	`rational.json-simplify-54`
790×	`rational.json-simplify-47`
684×	`rational.json-simplify-58`
616×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	108	56
2	331	56
3	1235	56
4	4907	56

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 1/2 (/.f64 (.f64 c a) b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) 1) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 b_2 -2)) a)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))))))

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-111`
884×	`rational.json-simplify-47`
782×	`rational.json-simplify-55`
764×	`rational.json-simplify-2`
622×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1827
1	134	1827
2	269	1827
3	1078	1827
4	4709	1827

Stop Event

1×	node limit

Counts

63 → 34

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)
(+.f64 0 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))
(-.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))) 1)
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) 1)
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))
(.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) 1))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) 1) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))))))
(pow.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 0)
(+.f64 0 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 0)
(-.f64 0 (neg.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/2 (/.f64 (.f64 c a) b_2)))) 1)
(/.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 1)
(/.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(pow.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 1)
(neg.f64 (neg.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2))))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(+.f64 0 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(-.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 0)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) 1))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) 1) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)))) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a))) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a))))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(pow.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (*.f64 -2 b_2)) a)
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 0)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(+.f64 0 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 0)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(-.f64 0 (neg.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/2 (/.f64 (.f64 c a) b_2)))) 1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (/.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))
(/.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (/.f64 (/.f64 (.f64 a c) b_2) (/.f64 (.f64 a c) b_2)))
(.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (/.f64 (/.f64 (.f64 a c) b_2) (/.f64 (*.f64 a c) b_2)))
(pow.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(neg.f64 (neg.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(.f64 1/2 (/.f64 (.f64 a c) b_2))

localize251.0ms (1.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
	14.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series3.0ms (0%)

Counts

1 → 14

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
0.0ms	a	@	-inf	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
0.0ms	a	@	inf	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
0.0ms	c	@	inf	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
0.0ms	c	@	0	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`rational.json-simplify-47`
698×	`rational.json-simplify-54`
624×	`rational.json-simplify-58`
604×	`rational.json-simplify-41`
568×	`rational.json-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	106	31
2	348	31
3	1219	31
4	4801	27

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 b_2 a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (/.f64 b_2 a) (+.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 (/.f64 b_2 a) 1) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 b_2 a)) (+.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1) (+.f64 (/.f64 b_2 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 -1 (/.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (+.f64 (/.f64 b_2 a) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 (/.f64 b_2 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) 1)) (-.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (*.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))))))

simplify190.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-2`
1308×	`rational.json-simplify-50`
1070×	`rational.json-simplify-58`
1048×	`rational.json-simplify-43`
922×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1513
1	227	1247
2	514	1247
3	2391	1247
4	6321	1247

Stop Event

1×	node limit

Counts

49 → 42

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (neg.f64 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 0)
(-.f64 0 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(-.f64 0 (+.f64 (/.f64 b_2 a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(-.f64 1 (-.f64 (/.f64 b_2 a) (+.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(-.f64 1 (+.f64 (+.f64 (/.f64 b_2 a) 1) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(-.f64 (-.f64 -1 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(-.f64 (-.f64 -1 (/.f64 b_2 a)) (+.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1) (+.f64 (/.f64 b_2 a) 1))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 -1 (/.f64 b_2 a))) -1)
(-.f64 (-.f64 1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))
(-.f64 (-.f64 (-.f64 -1 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) -1)
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (+.f64 (/.f64 b_2 a) 1)) -1)
(-.f64 (-.f64 (neg.f64 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 (/.f64 b_2 a) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) 1)) (-.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(-.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1))) 1)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(*.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))
(*.f64 -1 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))
(.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(pow.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(neg.f64 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))

Outputs
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 -1 (/.f64 c a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (neg.f64 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 0)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 0 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 0 (+.f64 (/.f64 b_2 a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 1 (-.f64 (/.f64 b_2 a) (+.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 1 (+.f64 (+.f64 (/.f64 b_2 a) 1) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 -1 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 -1 (/.f64 b_2 a)) (+.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1) (+.f64 (/.f64 b_2 a) 1))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 -1 (/.f64 b_2 a))) -1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 1 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 (-.f64 -1 (/.f64 b_2 a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) -1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (+.f64 (/.f64 b_2 a) 1)) -1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 (neg.f64 (/.f64 b_2 a)) (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (neg.f64 (/.f64 c a))))) (+.f64 (/.f64 b_2 a) 1))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (-.f64 (/.f64 b_2 a) 1)) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) 1)) (-.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(-.f64 (-.f64 0 (-.f64 (/.f64 b_2 a) (+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) 1))) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 -1 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (/.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) 1) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(.f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)))) (.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(pow.f64 (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) 1)
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(neg.f64 (-.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (sqrt.f64 (*.f64 -1 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))

localize335.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(/.f64 (*.f64 c a) b_2)
✓	6.8b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
✓	7.0b	(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
✓	14.3b	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))

Compiler

Compiled 93 to 48 computations (48.4% saved)

series12.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
1.0ms	a	@	0	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
1.0ms	b_2	@	0	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
1.0ms	c	@	inf	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
1.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)

rewrite160.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational.json-simplify-47`
906×	`rational.json-simplify-49`
746×	`rational.json-5`
744×	`exponential.json-3`
744×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	141
1	149	141
2	443	141
3	1607	141
4	6515	141

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))

(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))

(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))) (/.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8) (neg.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) (-.f64 1 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8) (-.f64 -1 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 -1 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) (*.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8))))) (/.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) 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-1/2 (/.f64 (*.f64 c a) b_2))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))))))

simplify266.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational.json-simplify-47`
1170×	`rational.json-simplify-2`
926×	`rational.json-simplify-49`
816×	`rational.json-simplify-50`
734×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	6450
1	252	6450
2	534	6450
3	2084	6450
4	7628	6450

Stop Event

1×	node limit

Counts

156 → 60

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(.f64 (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) 1))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))))
(pow.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))

Outputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(*.f64 -1/2 (/.f64 c b_2))
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(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
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(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(+.f64 0 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(-.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 0)
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))) 1)
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 1)
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) 1))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(.f64 (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)) (.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a))))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(pow.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a) 1)
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8)) a)))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)

eval74.0ms (0.5%)

Compiler: Compiled 5081 to 2263 computations (55.5% saved)

prune154.0ms (1%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	8	8
Picked	0	1	1
Done	1	7	8
Total	183	22	205

Error

2.4b

Counts

205 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
▶	44.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	54.0b	(/.f64 (-.f64 b_2 b_2) a)
✓	45.1b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
	49.6b	(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
✓	45.6b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
▶	52.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 c (neg.f64 a)))))) a)
✓	43.4b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	50.0b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
▶	48.3b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
	54.8b	(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
	44.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	45.5b	(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
	53.2b	(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
▶	56.6b	(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
	59.4b	(.f64 (/.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))) (sqrt.f64 (.f64 (/.f64 c a) (/.f64 c a))))
	54.3b	(*.f64 1/2 (/.f64 c b_2))
✓	38.4b	(*.f64 -1/2 (/.f64 c b_2))
✓	44.8b	(*.f64 -2 (/.f64 b_2 a))
✓	54.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))
▶	59.2b	(neg.f64 (/.f64 b_2 a))

Compiler

Compiled 735 to 417 computations (43.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	11.1b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series16.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
3.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
1.0ms	c	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
1.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
1.0ms	b_2	@	0	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

rewrite184.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational.json-simplify-54`
730×	`rational.json-simplify-47`
610×	`rational.json-simplify-50`
598×	`rational.json-simplify-49`
584×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	95	42
2	322	42
3	1164	42
4	4643	42

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) (/.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) 1) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) (*.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) (*.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))))

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-47`
968×	`rational.json-simplify-2`
750×	`rational.json-simplify-44`
718×	`rational.json-simplify-41`
684×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1698
1	187	1672
2	378	1652
3	1402	1652
4	5047	1652

Stop Event

1×	node limit

Counts

52 → 69

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 0)
(+.f64 0 (sqrt.f64 (*.f64 c (neg.f64 a))))
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (*.f64 c (neg.f64 a))))) 1)
(.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 1)
(.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 1 (sqrt.f64 (.f64 c (neg.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a))))
(.f64 (sqrt.f64 (.f64 c (.f64 c (.f64 a a)))) (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(.f64 (sqrt.f64 (.f64 c (.f64 c (.f64 a a)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 c (neg.f64 a)))) 1))
(.f64 (sqrt.f64 (.f64 c (.f64 c (.f64 a a)))) (/.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (.f64 c (*.f64 a a)))))
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 c (.f64 c (.f64 a a))))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (.f64 c (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 c (.f64 c (.f64 a a))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 c (neg.f64 a)))) 1) (sqrt.f64 (.f64 c (.f64 c (*.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 c (.f64 c (.f64 a a))))) (sqrt.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (.f64 c (.f64 a a))))) (sqrt.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 c (.f64 c (*.f64 a a)))))))
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 1)
(/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 0)
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) 1)
(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)))
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) 1))
(.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))) (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))) (/.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) 1) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))))
(.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))) (.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))

Outputs
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 -1 (/.f64 c a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (sqrt.f64 (.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (*.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (neg.f64 (/.f64 c a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (sqrt.f64 (.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (*.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (neg.f64 (/.f64 c a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (sqrt.f64 (.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (*.f64 -1 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b_2 a)) (sqrt.f64 (neg.f64 (/.f64 c a))))
(*.f64 -1 (/.f64 b_2 a))
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(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)

localize5.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	2.5b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)

Compiler

Compiled 44 to 28 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
0.0ms	b_2	@	0	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
0.0ms	b_2	@	-inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
0.0ms	a	@	-inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
0.0ms	a	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`rational.json-5`
1916×	`rational.json-1`
1916×	`rational.json-2`
1916×	`rational.json-4`
1916×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	122	13
2	351	13
3	1074	13
4	4106	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 b_2 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b_2 a) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 1 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) (/.f64 1 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) (*.f64 (/.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) (/.f64 -1 (neg.f64 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (*.f64 (*.f64 (/.f64 b_2 a) 4) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)))) (/.f64 (/.f64 1 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 (/.f64 (/.f64 b_2 a) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify238.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-47`
1192×	`rational.json-simplify-1`
994×	`rational.json-simplify-2`
894×	`rational.json-simplify-50`
654×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	681
1	98	681
2	220	681
3	519	681
4	1304	681
5	2642	681
6	5548	681
7	7731	681

Stop Event

1×	node limit

Counts

51 → 27

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 -2 (/.f64 b_2 a)))
(+.f64 -1 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(+.f64 1 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))) 1)
(.f64 -1 (neg.f64 (.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(.f64 (.f64 -2 (/.f64 b_2 a)) 1)
(.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(.f64 1 (.f64 -2 (/.f64 b_2 a)))
(.f64 (neg.f64 (.f64 -2 (/.f64 b_2 a))) -1)
(*.f64 4 (/.f64 (/.f64 b_2 a) -2))
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 1 (/.f64 b_2 a)) -2))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (/.f64 1 (.f64 -2 (/.f64 b_2 a))))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (.f64 (/.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (/.f64 -1 (neg.f64 (.f64 -2 (/.f64 b_2 a)))))
(.f64 (/.f64 1 (.f64 -2 (/.f64 b_2 a))) (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (.f64 (/.f64 b_2 a) 4) (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)))) (/.f64 (/.f64 1 (.f64 -2 (/.f64 b_2 a))) (.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))))
(*.f64 16 (/.f64 (/.f64 (/.f64 b_2 a) -2) 4))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(/.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))) -1)
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 -1 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(*.f64 -2 (/.f64 b_2 a))
(+.f64 1 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (+.f64 -1 (*.f64 -2 (/.f64 b_2 a))) 1)
(*.f64 -2 (/.f64 b_2 a))
(.f64 -1 (neg.f64 (.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(.f64 1 (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (neg.f64 (.f64 -2 (/.f64 b_2 a))) -1)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 4 (/.f64 (/.f64 b_2 a) -2))
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(*.f64 4 (/.f64 (/.f64 b_2 a) -2))
(.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 1 (/.f64 b_2 a)) -2))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (/.f64 1 (.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (.f64 (/.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)) (/.f64 -1 (neg.f64 (.f64 -2 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (/.f64 1 (.f64 -2 (/.f64 b_2 a))) (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 b_2 a) (.f64 (.f64 (/.f64 b_2 a) 4) (.f64 (/.f64 b_2 a) (.f64 (/.f64 b_2 a) 4)))) (/.f64 (/.f64 1 (.f64 -2 (/.f64 b_2 a))) (.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 16 (/.f64 (/.f64 (/.f64 b_2 a) -2) 4))
(*.f64 4 (/.f64 (/.f64 b_2 a) -2))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))) -1)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (neg.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
	2.8b	(/.f64 (*.f64 c a) b_2)
	10.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
✓	34.9b	(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))

Compiler

Compiled 93 to 37 computations (60.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
1.0ms	c	@	inf	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
1.0ms	c	@	0	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
1.0ms	a	@	0	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
0.0ms	b_2	@	inf	(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))

rewrite143.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-simplify-47`
766×	`rational.json-simplify-55`
628×	`rational.json-5`
626×	`exponential.json-3`
626×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	146
1	119	80
2	366	80
3	1342	80
4	6029	80

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))

(*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify222.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-55`
1178×	`rational.json-simplify-79`
1076×	`rational.json-simplify-104`
1038×	`rational.json-simplify-2`
1030×	`rational.json-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	4093
1	270	4093
2	425	4093
3	2337	4093
4	5141	4093

Stop Event

1×	node limit

Counts

127 → 58

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(+.f64 0 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))
(-.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(-.f64 0 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 1)
(/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(pow.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 1)
(neg.f64 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(+.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 0)
(+.f64 0 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(-.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))) 1)
(/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1)
(/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(pow.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(fabs.f64 (neg.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(fabs.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (fabs.f64 a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (fabs.f64 a))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(fabs.f64 (.f64 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (fabs.f64 a))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (fabs.f64 a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (fabs.f64 a)) (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (fabs.f64 a)) (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (fabs.f64 a)) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (fabs.f64 a))))
(fabs.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (fabs.f64 a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(fabs.f64 (.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))
(fabs.f64 (.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (fabs.f64 a))))
(fabs.f64 (.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 2) (.f64 (fabs.f64 (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2)))
(+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 0 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(-.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) 0)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
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(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))) (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))))
(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))))))
(.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	6.3b	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))
✓	11.1b	(sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 c (neg.f64 a)))))
✓	30.9b	(.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 c (neg.f64 a))))

Compiler

Compiled 148 to 31 computations (79.1% saved)

series9.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))
1.0ms	a	@	inf	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))
1.0ms	a	@	0	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))
1.0ms	b_2	@	inf	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))
1.0ms	b_2	@	0	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 c (neg.f64 a)))

rewrite164.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational.json-simplify-47`
860×	`rational.json-simplify-55`
838×	`rational.json-5`
836×	`exponential.json-3`
836×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	169
1	142	157
2	469	157
3	1785	153
4	7166	153

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 c (neg.f64 a))))

(sqrt.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 c (neg.f64 a)))))

(*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 c (neg.f64 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (/.f64 1 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (sqrt.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 c (*.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (/.f64 1 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (sqrt.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) (/.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 c (*.f64 a (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))))))))

simplify296.0ms (2%)

Algorithm

1×	egg-herbie

Rules

752×	`rational.json-simplify-2`
730×	`rational.json-simplify-44`
676×	`rational.json-simplify-79`
676×	`rational.json-simplify-104`
664×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	3657
1	181	3595
2	442	3595
3	1443	3595
4	3695	3595
5	5947	3595
6	7972	3595

Stop Event

1×	node limit

Counts

117 → 57

Calls

Call 1

Inputs
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 0)
(+.f64 0 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(-.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 0)
(-.f64 0 (neg.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) 1)
(/.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)
(/.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(pow.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)
(neg.f64 (neg.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 0)
(+.f64 0 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(-.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) 1)
(.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) 1)
(.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))))
(.f64 (sqrt.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (/.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (sqrt.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (sqrt.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1)
(/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(pow.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(+.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 0)
(+.f64 0 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))))
(-.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 0)
(-.f64 0 (neg.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))))) 1)
(/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 1)
(/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) (/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))
(pow.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 1)
(neg.f64 (neg.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))

Outputs
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(pow.f64 (*.f64 c a) 2)
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(neg.f64 (.f64 (pow.f64 b_2 2) (.f64 c a)))
(.f64 c (.f64 (pow.f64 b_2 2) (neg.f64 a)))
(.f64 c (.f64 a (neg.f64 (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(neg.f64 (.f64 (pow.f64 b_2 2) (.f64 c a)))
(.f64 c (.f64 (pow.f64 b_2 2) (neg.f64 a)))
(.f64 c (.f64 a (neg.f64 (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(.f64 -1 (.f64 c (*.f64 a (pow.f64 b_2 2))))
(neg.f64 (.f64 (pow.f64 b_2 2) (.f64 c a)))
(.f64 c (.f64 (pow.f64 b_2 2) (neg.f64 a)))
(.f64 c (.f64 a (neg.f64 (pow.f64 b_2 2))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(pow.f64 (*.f64 c a) 2)
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 a (neg.f64 (pow.f64 b_2 2)))))
(+.f64 (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 -1 (.f64 c (.f64 a (pow.f64 b_2 2)))))
(+.f64 (pow.f64 (.f64 c a) 2) (neg.f64 (.f64 (pow.f64 b_2 2) (*.f64 c a))))
(+.f64 (pow.f64 (.f64 c a) 2) (.f64 c (*.f64 (pow.f64 b_2 2) (neg.f64 a))))
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(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (sqrt.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (sqrt.f64 (.f64 c (.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1)
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(pow.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1)
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(sqrt.f64 (.f64 c (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (neg.f64 a)) (/.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(+.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 0)
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(+.f64 0 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))))
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(-.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 0)
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(-.f64 0 (neg.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))))) 1)
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 1)
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) (/.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(pow.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2)))) 1)
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(neg.f64 (neg.f64 (.f64 c (.f64 a (-.f64 (.f64 a c) (.f64 b_2 b_2))))))
(.f64 c (.f64 a (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 c a))
(.f64 a (.f64 c (-.f64 (.f64 c a) (.f64 b_2 b_2))))

eval122.0ms (0.8%)

Compiler: Compiled 12601 to 3986 computations (68.4% saved)

prune90.0ms (0.6%)

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	365	9	374
Fresh	2	7	9
Picked	1	0	1
Done	2	10	12
Total	370	26	396

Error

2.4b

Counts

396 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	53.8b	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a (.f64 c (.f64 a c)))) (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a))))) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
✓	44.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	54.0b	(/.f64 (-.f64 b_2 b_2) a)
✓	45.1b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
	49.6b	(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
✓	45.6b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	49.2b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
	50.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (.f64 c (neg.f64 a)) (.f64 c (neg.f64 a)))))) a)
	55.0b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 c (.f64 a (-.f64 (.f64 c a) (*.f64 b_2 b_2))))))) a)
	53.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (.f64 c (-.f64 (.f64 c a) (*.f64 b_2 b_2))))))) a)
✓	43.4b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	50.0b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
	54.8b	(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
	48.3b	(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
	44.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	44.8b	(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
	51.7b	(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
	53.2b	(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
	56.3b	(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
	59.4b	(.f64 (/.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))) (sqrt.f64 (.f64 (/.f64 c a) (/.f64 c a))))
	54.3b	(*.f64 1/2 (/.f64 c b_2))
✓	38.4b	(*.f64 -1/2 (/.f64 c b_2))
✓	44.8b	(*.f64 -2 (/.f64 b_2 a))
✓	54.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))
✓	59.2b	(neg.f64 (/.f64 b_2 a))

Compiler

Compiled 487 to 296 computations (39.2% saved)

regimes1.6s (10.6%)

Counts

38 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (.f64 c (neg.f64 a)) (.f64 c (neg.f64 a)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (neg.f64 a) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 c (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (.f64 c (-.f64 (.f64 c a) (*.f64 b_2 b_2))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 c (.f64 a (-.f64 (.f64 c a) (*.f64 b_2 b_2))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 c (neg.f64 a)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
(.f64 (/.f64 1 (sqrt.f64 (neg.f64 (/.f64 c a)))) (sqrt.f64 (.f64 (/.f64 c a) (/.f64 c a))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a (.f64 c (.f64 a c)))) (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a))))) b_2) a)
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

4 calls:

736.0ms	c
552.0ms	a
196.0ms	b_2
104.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
25.0b	7	`a`
6.2b	3	`b_2`
24.6b	10	`c`
10.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 723 to 252 computations (65.1% saved)

bsearch175.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.19332270493969e-91	1.2280131214589045e-90
152.0ms	-2.317192471659643e+165	-8.28796315326388e+151

Results

144.0ms	201×	body	256	valid
12.0ms	61×	body	256	infinite
4.0ms	13×	body	512	valid
3.0ms	16×	body	256	invalid
3.0ms	6×	body	1024	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 372 to 253 computations (32% saved)

regimes873.0ms (5.8%)

Counts

22 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

460.0ms	c
219.0ms	b_2
182.0ms	a

Results

Error	Segments	Branch
29.0b	9	`a`
10.2b	3	`b_2`
30.0b	11	`c`

Compiler

Compiled 287 to 137 computations (52.3% saved)

bsearch60.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	7.19332270493969e-91	1.2280131214589045e-90
33.0ms	-1.8636576872376754e-109	-1.5745096858672744e-111

Results

33.0ms	162×	body	256	valid
10.0ms	52×	body	256	invalid
10.0ms	10×	body	512	valid
2.0ms	3×	body	1024	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 306 to 219 computations (28.4% saved)

regimes304.0ms (2%)

Counts

19 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

122.0ms	c
116.0ms	a
56.0ms	b_2

Results

Error	Segments	Branch
31.8b	7	`a`
16.9b	3	`b_2`
33.3b	7	`c`

Compiler

Compiled 258 to 129 computations (50% saved)

bsearch94.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.8737363986432343e-184	2.7242946479872833e-182
46.0ms	-1.9332188327895357e-135	-1.3862359923009792e-141

Results

57.0ms	245×	body	256	valid
25.0ms	104×	body	256	invalid
2.0ms	7×	body	512	valid
2.0ms	4×	body	1024	valid

Compiler

Compiled 428 to 307 computations (28.3% saved)

regimes699.0ms (4.6%)

Counts

18 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))
(sqrt.f64 (neg.f64 (/.f64 c a)))

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

501.0ms	c
118.0ms	a
53.0ms	b_2

Results

Error	Segments	Branch
31.8b	7	`a`
17.0b	3	`b_2`
34.4b	5	`c`

Compiler

Compiled 249 to 128 computations (48.6% saved)

bsearch89.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.8737363986432343e-184	2.7242946479872833e-182
49.0ms	-1.9332188327895357e-135	-1.3862359923009792e-141

Results

51.0ms	241×	body	256	valid
20.0ms	107×	body	256	invalid
3.0ms	10×	body	512	valid
3.0ms	5×	body	1024	valid

Compiler

Compiled 364 to 275 computations (24.5% saved)

regimes233.0ms (1.5%)

Counts

17 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -2 (/.f64 b_2 a)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (.f64 -1/2 (/.f64 c b_2))) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 c a) b_2)))) (*.f64 b_2 -2)) a)
(.f64 (/.f64 1 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)) (.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a) (/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a)) (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) a) (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)) a)))

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

101.0ms	a
85.0ms	c
38.0ms	b_2

Results

Error	Segments	Branch
34.4b	5	`a`
20.6b	2	`b_2`
34.9b	5	`c`

Compiler

Compiled 244 to 125 computations (48.8% saved)

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	-2.4221369392877934e-295	-4.764890214019779e-300

Results

28.0ms	128×	body	256	valid
9.0ms	48×	body	256	invalid

Compiler

Compiled 214 to 159 computations (25.7% saved)

regimes135.0ms (0.9%)

Counts

9 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 (/.f64 b_2 a) -2) 4)
(+.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) 1) -1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

60.0ms	a
50.0ms	c
21.0ms	b_2

Results

Error	Segments	Branch
34.5b	5	`a`
20.7b	2	`b_2`
35.0b	5	`c`

Compiler

Compiled 70 to 41 computations (41.4% saved)

bsearch51.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	1.2410352563247626e-199	1.8737363986432343e-184

Results

31.0ms	149×	body	256	valid
12.0ms	67×	body	256	invalid
3.0ms	10×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes29.0ms (0.2%)

Accuracy

Total -14.4b remaining (-32.2%)

Threshold costs -14.4b (-32.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(*.f64 -2 (/.f64 b_2 a))

Calls

3 calls:

16.0ms	a
6.0ms	b_2
6.0ms	c

Results

Error	Segments	Branch
44.8b	1	`a`
44.8b	1	`b_2`
44.8b	1	`c`

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	446

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -800000000000000037000865087233595792009810179160581507935109817610180430030237207387067359057627401055917299603917524727355181516131534373078016072876032) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5045696955178157/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -475960297528979/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1376099169594043/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -2147344238779869/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 3827252586451049/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (sqrt.f64 (neg.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7238468646072529/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 7325475661932327/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))

Outputs
(if (<=.f64 b_2 -800000000000000037000865087233595792009810179160581507935109817610180430030237207387067359057627401055917299603917524727355181516131534373078016072876032) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5045696955178157/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -475960297528979/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1376099169594043/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -2147344238779869/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 3827252586451049/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (sqrt.f64 (neg.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7238468646072529/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 7325475661932327/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))

Compiler

Compiled 192 to 125 computations (34.9% saved)

soundness262.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-54`
1150×	`rational.json-simplify-1`
1098×	`rational.json-simplify-50`
680×	`rational.json-simplify-2`
632×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7529
1	795	7485
2	1699	7329
3	4204	7329

Stop Event

1×	node limit

Compiler

Compiled 27 to 14 computations (48.1% saved)

end89.0ms (0.6%)

Compiler: Compiled 171 to 89 computations (48% saved)