Details

analyze298.0ms (2.7%)

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)

sample1.7s (15.7%)

Results

645.0ms	5563×	body	256	valid
389.0ms	1109×	body	2048	valid
206.0ms	748×	body	1024	valid
199.0ms	432×	body	4096	valid
170.0ms	1218×	body	256	invalid
78.0ms	404×	body	512	valid
41.0ms	354×	body	256	infinite

Bogosity

preprocess127.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1128×	`fma-neg`
960×	`*-commutative`
752×	`distribute-lft-neg-in`
744×	`times-frac`
662×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	82	156
2	166	156
3	373	156
4	752	156
5	1353	156
6	3434	156
7	5950	156
8	7532	156
9	7992	156
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify177.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

826×	`distribute-lft-in`
766×	`distribute-rgt-in`
726×	`fma-def`
524×	`associate--l-`
508×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	30	39
2	59	39
3	124	39
4	218	39
5	417	39
6	774	39
7	1059	39
8	1251	39
9	1731	39
10	3174	39
11	6354	39
12	6758	39
13	6766	39
14	6782	39
15	6782	39
16	6840	39
17	6876	39
18	6901	39
19	6913	39

Stop Event

1×

saturated

Counts

1 → 2

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

eval0.0ms (0%)

Compiler: Compiled 29 to 13 computations (55.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

52.58%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.58%	(/.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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.96%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite138.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`associate-*l/`
1576×	`associate-/r*`
500×	`associate-+l+`
320×	`add-sqr-sqrt`
310×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	296	106
2	4523	106

Stop Event

1×	node limit

Counts

4 → 329

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 (exp.f64 (log1p.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))) 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 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) 1) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(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 pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.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 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.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 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.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 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 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#<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))))))

simplify195.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1098×	`associate-r`
938×	`associate-/l*`
882×	`associate-l`
758×	`associate-+r+`
738×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	874	24269
1	2410	22337

Stop Event

1×	node limit

Counts

425 → 587

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 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(*.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 -1/2 (/.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 -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 (.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 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.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 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.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)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(-.f64 (exp.f64 (log1p.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))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 b_2 4) 3) (pow.f64 (pow.f64 (.f64 a c) 2) 3)) (/.f64 1 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 (.f64 (pow.f64 b_2 4) (pow.f64 b_2 4)) (+.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b_2 6) (pow.f64 b_2 6)) (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3))) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))))) (+.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 b_2 6) 3) (pow.f64 (pow.f64 (.f64 a c) 3) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))))) (+.f64 (.f64 (pow.f64 b_2 6) (pow.f64 b_2 6)) (+.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) 1) (fma.f64 b_2 b_2 (.f64 a c)))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) 1) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(exp.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 1 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(fma.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(+.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (/.f64 b_2 a))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))) 1)
(-.f64 (/.f64 0 a) (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(-.f64 (/.f64 0 a) (-.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))))
(.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a))
(.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a) 1)
(.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a))
(.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))
(.f64 (/.f64 1 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3) 1/3)
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c 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)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))
(+.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))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(+.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)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.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))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.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))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
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(.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 1 a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 1 a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)) 2))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (/.f64 -1 a))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) 2) (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 1)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3) 1/3)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)) 1))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a)

eval161.0ms (1.5%)

Compiler: Compiled 17705 to 5391 computations (69.6% saved)

prune132.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	571	16	587
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	571	17	588

Error

7.78%

Counts

588 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	75.28%	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	54.89%	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
	75.79%	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (*.f64 b_2 b_2))))) a)
✓	52.58%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	52.66%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))) a)
	72.44%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	75.73%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	88.95%	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	67.35%	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	71.41%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	65.45%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	75.58%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
	75.62%	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (cbrt.f64 a)))
▶	52.7%	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (/.f64 -1 a))
	63.4%	(*.f64 -1/2 (/.f64 c b_2))
▶	65.22%	(*.f64 -2 (/.f64 b_2 a))
▶	87.21%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))

Compiler

Compiled 576 to 358 computations (37.8% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	0.96%	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))))
✓	35.36%	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
✓	82.25%	(fma.f64 (neg.f64 c) a (*.f64 c a))

Compiler

Compiled 138 to 42 computations (69.6% saved)

series62.0ms (0.6%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
45.0ms	b_2	@	inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
2.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))))
1.0ms	c	@	0	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))

rewrite119.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-+l+`
442×	`associate-+r+`
442×	`+-commutative`
440×	`add-sqr-sqrt`
432×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	154
1	419	112
2	6059	112

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

Inputs
(fma.f64 (neg.f64 c) a (*.f64 c a))
(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))))
(-.f64 (.f64 b_2 b_2) (.f64 c a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 c a) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c a))) (+.f64 (.f64 c a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 c a) 0) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 c a) (exp.f64 (log1p.f64 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2) (cbrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 c a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 c a) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))))))
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(.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 b_2 (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b_2 b_2) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c a))))))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
808×	`associate-+l+`
798×	`associate-+r+`
798×	`associate-r`
642×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	4583
1	1559	4583

Stop Event

1×	node limit

Counts

307 → 254

Calls

Call 1

Inputs
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
b_2
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) b_2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -1 b_2) (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))))
b_2
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) b_2)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))))))
(.f64 -1 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (.f64 -1 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (.f64 -1 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -2 b_2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -2 b_2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -2 b_2) (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3) (pow.f64 b_2 5))))))
(.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2)) 2)) (pow.f64 b_2 7))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 2) (pow.f64 b_2 3))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 -1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (*.f64 -1 a))) a)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 b_2) (.f64 -1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (*.f64 -1 a))) a)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 4 (+.f64 a (*.f64 -1 a))) a) 3)) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (*.f64 -2 b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (*.f64 -2 b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 b_2) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (*.f64 -1 c))) c) 3)) (pow.f64 b_2 5))))))
(.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 (.f64 c a) (.f64 c a))
(-.f64 0 (-.f64 (.f64 c a) (.f64 c a)))
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (+.f64 (.f64 c a) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c c)))) 1)
(-.f64 (+.f64 (.f64 c a) 0) (.f64 c a))
(-.f64 (+.f64 (.f64 c a) (exp.f64 (log1p.f64 (.f64 c a)))) 1)
(*.f64 a (+.f64 c c))
(.f64 (.f64 a (+.f64 c c)) 1)
(.f64 1 (.f64 a (+.f64 c c)))
(.f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (*.f64 a (+.f64 c c))))
(.f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2) (cbrt.f64 (*.f64 a (+.f64 c c))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (*.f64 c a) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 c a) (.f64 c a)))
(pow.f64 (*.f64 a (+.f64 c c)) 1)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 2))
(log.f64 (exp.f64 (*.f64 a (+.f64 c c))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 c c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 c c))))
(exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) 1)
(.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3) (.f64 64 (pow.f64 (.f64 a (+.f64 c c)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 (.f64 (.f64 a (+.f64 c c)) 4) (-.f64 (.f64 (.f64 a (+.f64 c c)) 4) (fma.f64 b_2 b_2 (.f64 c a)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 16 (pow.f64 (.f64 a (+.f64 c c)) 2)))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 -4 (.f64 a (+.f64 c c))))))
(pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 1)
(pow.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 3)
(pow.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(cbrt.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(hypot.f64 (.f64 2 (sqrt.f64 (.f64 a (+.f64 c c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(hypot.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 a (+.f64 c c)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(exp.f64 (.f64 (log.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
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(pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) 3)
(pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 3) 1/3)
(neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 2))
(log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))
(cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 3))
(expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(exp.f64 (.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(fma.f64 -1 b_2 (neg.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (.f64 c a) (.f64 b_2 b_2))
(+.f64 (.f64 c a) (+.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))
(+.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (*.f64 a (+.f64 c c))))
(+.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))
(+.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (.f64 c a) 1 (.f64 c a))))
(+.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (*.f64 a (+.f64 c c))))
(+.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (.f64 a (+.f64 c c))))
(+.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))
(+.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (+.f64 (.f64 a (+.f64 c c)) (*.f64 a (+.f64 c c)))))
(+.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (fma.f64 (.f64 c a) 1 (.f64 c a))))
(+.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (fma.f64 (.f64 c a) 1 (*.f64 c a))))
(+.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c)))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (*.f64 a (+.f64 c c))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 (.f64 c a) 1 (*.f64 c a)))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (.f64 a (+.f64 c c))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (.f64 a (+.f64 c c))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (*.f64 a (+.f64 c c))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (*.f64 a (+.f64 c c))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (+.f64 (.f64 a (+.f64 c c)) (*.f64 a (+.f64 c c)))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (*.f64 a (+.f64 c c)))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (.f64 c a) 1 (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (fma.f64 (.f64 c a) 1 (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (fma.f64 (.f64 c a) 1 (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (.f64 c a) 1 (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (.f64 c a) 1 (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (+.f64 (.f64 c a) (.f64 a (+.f64 c c))) (*.f64 b_2 b_2))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c))) (fma.f64 b_2 b_2 (*.f64 c a)))
(+.f64 (fma.f64 (.f64 c a) 1 (.f64 c a)) (fma.f64 b_2 b_2 (*.f64 c a)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 b_2 b_2 (.f64 c a)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 b_2 b_2 (.f64 c a)))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (*.f64 c a))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (+.f64 (.f64 c a) (.f64 a (+.f64 c c))))
(+.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 c a)) (*.f64 c a))
(.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)
(.f64 1 (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (*.f64 c a))))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (pow.f64 (.f64 a (+.f64 c c)) 2)) (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c))))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 (.f64 c a) (*.f64 b_2 b_2))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3)) (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (-.f64 (pow.f64 (.f64 a (+.f64 c c)) 2) (.f64 (fma.f64 b_2 b_2 (.f64 c a)) (*.f64 a (+.f64 c c))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1)
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2))
(log.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 b_2 b_2 (*.f64 c a))
(fma.f64 1 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 1 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c)))
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 a (+.f64 c c)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 a (+.f64 c c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c a))

Outputs
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(.f64 c (.f64 0 a))
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
(.f64 c (.f64 0 a))
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 c (.f64 0 a))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 c (.f64 0 a))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (*.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (+.f64 (.f64 c a) (.f64 a (+.f64 c c))))
(.f64 c (.f64 0 a))
(+.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 c a)) (*.f64 c a))
(.f64 c (.f64 0 a))
(.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)
(.f64 c (.f64 0 a))
(.f64 1 (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 c (.f64 0 a))
(.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2))
(.f64 c (.f64 0 a))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 c (.f64 0 a))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (*.f64 c a))))
(.f64 c (.f64 0 a))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)))
(.f64 c (.f64 0 a))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))))
(.f64 c (.f64 0 a))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 c (.f64 0 a))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))))
(.f64 c (.f64 0 a))
(/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (pow.f64 (.f64 a (+.f64 c c)) 2)) (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c))))
(.f64 c (.f64 0 a))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 (.f64 c a) (*.f64 b_2 b_2))))
(.f64 c (.f64 0 a))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3)) (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (-.f64 (pow.f64 (.f64 a (+.f64 c c)) 2) (.f64 (fma.f64 b_2 b_2 (.f64 c a)) (*.f64 a (+.f64 c c))))))
(.f64 c (.f64 0 a))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))))
(.f64 c (.f64 0 a))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 c (.f64 0 a))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1)
(.f64 c (.f64 0 a))
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2)
(.f64 c (.f64 0 a))
(pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 3)
(.f64 c (.f64 0 a))
(pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) 1/3)
(.f64 c (.f64 0 a))
(sqrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2))
(.f64 c (.f64 0 a))
(log.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 c (.f64 0 a))
(cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3))
(.f64 c (.f64 0 a))
(expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(exp.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))
(.f64 c (.f64 0 a))
(log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 c (.f64 0 a))
(fma.f64 b_2 b_2 (*.f64 c a))
(.f64 c (.f64 0 a))
(fma.f64 1 (.f64 b_2 b_2) (.f64 c a))
(.f64 c (.f64 0 a))
(fma.f64 1 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a (+.f64 c c)))
(.f64 c (.f64 0 a))
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 a (+.f64 c c)))
(.f64 c (.f64 0 a))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 a (+.f64 c c)))
(.f64 c (.f64 0 a))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c a))
(.f64 c (.f64 0 a))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1849	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(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 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
970×	`distribute-rgt-neg-out`
964×	`distribute-lft-neg-out`
922×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	144	417
2	545	297
3	3962	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1 (/.f64 a (*.f64 -2 b_2)))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))
(/.f64 (/.f64 (*.f64 -2 b_2) 1) a)
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))

Outputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 1 (/.f64 a (*.f64 -2 b_2)))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 -2 b_2) 1) a)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (.f64 -2 b_2) (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 (.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 a a))) (/.f64 b_2 (cbrt.f64 a)))
(/.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
(log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(*.f64 -2 (/.f64 b_2 a))
✓	0.01%	(*.f64 1/2 (/.f64 c b_2))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1848	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 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 pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-in`
1686×	`distribute-rgt-in`
1042×	`associate-r`
928×	`associate-l`
658×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	145	417
2	542	297
3	3910	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) 1)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 1 (/.f64 b_2 (*.f64 1/2 c)))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))
(/.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))
(/.f64 (/.f64 (*.f64 1/2 c) 1) b_2)
(/.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(/.f64 (/.f64 (.f64 1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(/.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))
(pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) 1/2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 c b_2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))

Outputs
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) 1)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 1 (/.f64 b_2 (*.f64 1/2 c)))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 1/2 c) 1) b_2)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (/.f64 (.f64 1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(/.f64 (.f64 1/2 c) (.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 b_2))))
(.f64 (/.f64 c (cbrt.f64 b_2)) (/.f64 1/2 (cbrt.f64 (.f64 b_2 b_2))))
(.f64 (/.f64 1/2 (cbrt.f64 (.f64 b_2 b_2))) (/.f64 c (cbrt.f64 b_2)))
(/.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))
(fabs.f64 (*.f64 1/2 (/.f64 c b_2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) 1/2))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 c b_2))) 1))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 1/2 (/.f64 c b_2)) 0)
(*.f64 1/2 (/.f64 c b_2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3%	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (/.f64 -1 a))
	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	0.96%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

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

rewrite145.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`distribute-lft-in`
792×	`associate-/r*`
576×	`associate-+l+`
562×	`associate-/l*`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	309	91
2	4282	91

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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))) 1)))) (#(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 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 c a) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 c a) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 1/2)))) (#(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 pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (-.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b_2)) (-.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) (-.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 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (exp.f64 (log1p.f64 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c 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(*.f64 c a)))) -1)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) -1)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) 3) (pow.f64 (/.f64 -1 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))))))

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1616×	`associate-/l*`
850×	`associate-r`
818×	`associate-/r*`
698×	`associate-/l/`
574×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	19399
1	1854	17927

Stop Event

1×	node limit

Counts

279 → 408

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)) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 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 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 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 1/2 (/.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 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 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.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 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.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)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 1 b_2))
(-.f64 (exp.f64 (log1p.f64 b_2)) (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) 1)
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(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 -1 a)) (.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 -1 a)) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2))) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (/.f64 -1 a)) 1) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (/.f64 -1 a)) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (/.f64 -1 a)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (cbrt.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))) (cbrt.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (sqrt.f64 a) -1)) 1) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (sqrt.f64 a) -1)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (sqrt.f64 a) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (sqrt.f64 a) -1)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)) 1) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (neg.f64 a))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) 1) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (neg.f64 a))
(/.f64 (/.f64 (.f64 -1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (/.f64 (.f64 -1 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) a) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) -1) a)
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) 1) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) -1)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3) (pow.f64 (/.f64 -1 a) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))

Outputs
(.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)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))
(+.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))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(+.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)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.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))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.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))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 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))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 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)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.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))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 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 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
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(/.f64 (/.f64 (.f64 -1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (.f64 c (neg.f64 a)) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (.f64 -1 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) a) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) a) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (neg.f64 a)) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) -1) a)
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) 1) (neg.f64 a))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) -1)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (cbrt.f64 a) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (pow.f64 (cbrt.f64 a) 2) (neg.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) -1)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (cbrt.f64 (neg.f64 a)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) -1)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) -1)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (cbrt.f64 a) (/.f64 (pow.f64 (cbrt.f64 a) 2) -1)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (pow.f64 (cbrt.f64 a) 2) (neg.f64 (cbrt.f64 a))))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 1)
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 3)
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 3) 1/3)
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a)) 3))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3) (pow.f64 (/.f64 -1 a) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3) (/.f64 -1 (pow.f64 a 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 3) (/.f64 -1 (pow.f64 a 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))) 1))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	2.54%	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	30.85%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 79 to 15 computations (81% saved)

series7.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
1.0ms	b_2	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
0.0ms	c	@	inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
0.0ms	c	@	0	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))

rewrite127.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-/r*`
1404×	`associate-/l*`
504×	`associate-+l+`
340×	`add-sqr-sqrt`
328×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	341	64
2	4686	64

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)) (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) (*.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)) (pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 2) (*.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a a))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 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((x exp.f64 (*.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))))

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-/l*`
1098×	`times-frac`
800×	`associate-r`
766×	`associate-/r*`
720×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	19047
1	1858	18105

Stop Event

1×	node limit

Counts

253 → 434

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (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)) (.f64 a (pow.f64 b_2 7)))) (*.f64 1/2 (/.f64 c b_2)))))
(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (cbrt.f64 -1))) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3))))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (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 3)) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (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))) (.f64 a b_2))) (.f64 1/2 (/.f64 c b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (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 b_2 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (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 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 (.f64 (sqrt.f64 (*.f64 c a)) (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)))
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(+.f64 (-.f64 b_2 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))) 1)
(.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) 1)
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(.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) 2) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
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(.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 1/4)))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 1)
(/.f64 1 (/.f64 1 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (/.f64 1 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) 2) (/.f64 1 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (/.f64 1 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))))
(/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2))) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 3/2)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2))) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)))) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4) (sqrt.f64 b_2)) (/.f64 1 (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (-.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) 3)) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) 1) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) 1) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 1)
(pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 3)
(pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 2))
(log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))
(cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 3))
(expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(exp.f64 (.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (/.f64 b_2 a))
(-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 b_2 a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (-.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 1/2 c) b_2))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (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)) (.f64 a (pow.f64 b_2 7)))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 1/2 (+.f64 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 c b_2)))))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (+.f64 (/.f64 c b_2) (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7)))))))
(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
(*.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (.f64 1/2 (.f64 (/.f64 c b_2) (cbrt.f64 -1))))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3)))))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (fma.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3)))))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (fma.f64 1/2 (.f64 (/.f64 c b_2) (cbrt.f64 -1)) (.f64 1/8 (/.f64 (.f64 a (cbrt.f64 -1)) (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(+.f64 (.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (cbrt.f64 -1))) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3))))))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (fma.f64 1/2 (/.f64 (.f64 c (cbrt.f64 -1)) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (.f64 a a) (cbrt.f64 -1)))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a (cbrt.f64 -1))) (pow.f64 b_2 3))))))
(fma.f64 -2 (/.f64 (cbrt.f64 -1) (/.f64 a b_2)) (fma.f64 1/2 (.f64 (/.f64 c b_2) (cbrt.f64 -1)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 (.f64 a a) (cbrt.f64 -1))) (.f64 1/8 (/.f64 (.f64 a (cbrt.f64 -1)) (/.f64 (pow.f64 b_2 3) (*.f64 c c)))))))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 1/2 c) b_2))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (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 3)) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.f64 c c) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (.f64 1/2 c) b_2))))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 1/2 c) b_2))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (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))) (.f64 a b_2))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)) b_2)) (/.f64 c b_2)))))
(fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/2 (+.f64 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) b_2))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 b_2 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))))
(-.f64 b_2 (.f64 (sqrt.f64 -1) (sqrt.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 b_2 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 b_2 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))))))
(fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (-.f64 b_2 (.f64 (sqrt.f64 -1) (sqrt.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 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 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 b_2 (fma.f64 1/8 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (-.f64 b_2 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))) (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))))))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 1/2 (.f64 (/.f64 c b_2) a))
(+.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)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(+.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))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (*.f64 (/.f64 c b_2) a))))
(+.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)))))
(fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 3) (.f64 c c))) (.f64 1/2 (.f64 (/.f64 c b_2) a)))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(+.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))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 3) (.f64 c c))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 3) (.f64 c c))) (/.f64 (.f64 c -1/2) (/.f64 b_2 a)))))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
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(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) 3/2)) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4) (sqrt.f64 b_2)) (/.f64 1 (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4))))
(.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) 1/4) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))) 1/4)))
(.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4)))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (-.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) 3)) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))) 3)) (fma.f64 b_2 b_2 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))) (-.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 3)) (fma.f64 b_2 b_2 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) b_2))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) 1) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) 1) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) 3/2)) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) 3/2)) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 3/2)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) 3/2)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))))) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 c a)))))))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))))))
(pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 1)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 2)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))) 3)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 3) 1/3)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 2))
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))))) 2))
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2))
(log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) 3))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(exp.f64 (.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) 1))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))))))
(-.f64 (.f64 (sqrt.f64 b_2) (sqrt.f64 b_2)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 c a))))))
(-.f64 (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))

eval501.0ms (4.5%)

Compiler: Compiled 51073 to 17085 computations (66.5% saved)

prune542.0ms (4.9%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1570	21	1591
Fresh	5	6	11
Picked	1	0	1
Done	3	2	5
Total	1579	29	1608

Error

7.77%

Counts

1608 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	74.68%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 2)
	65.91%	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.47%	(/.f64 (/.f64 (.f64 c (neg.f64 a)) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
	52.72%	(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	79.64%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
✓	52.58%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	72.44%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	75.73%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	88.95%	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	67.35%	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	87.13%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 a a))
	89.53%	(/.f64 (*.f64 1/2 c) b_2)
	71.41%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	52.7%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	65.39%	(/.f64 -2 (/.f64 a b_2))
	65.61%	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	69.37%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
▶	54.94%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 a))
	72.51%	(.f64 (+.f64 b_2 (sqrt.f64 (.f64 -1 (*.f64 c a)))) (/.f64 -1 a))
	65.31%	(*.f64 (+.f64 b_2 b_2) (/.f64 -1 a))
	69.87%	(.f64 (.f64 1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 -1 a))
▶	71.42%	(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))
▶	63.4%	(*.f64 -1/2 (/.f64 c b_2))
	97.57%	(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
✓	65.22%	(*.f64 -2 (/.f64 b_2 a))
	82.5%	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	84.92%	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
	88.03%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) 3))
	97.14%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 b_2 2) a) 3))

Compiler

Compiled 786 to 534 computations (32.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
	0.96%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`associate-/r*`
1036×	`associate-/l*`
570×	`associate-+l+`
330×	`add-sqr-sqrt`
322×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	315	39
2	4478	39

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 a) b_2) (*.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 -1 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (/.f64 -1 a)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 -1 a)) (*.f64 b_2 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) 2) (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) 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 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)))))))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def`
608×	`unswap-sqr`
572×	`associate-*r/`
568×	`*-commutative`
552×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2502
1	422	2480
2	1640	2442
3	6550	2434

Stop Event

1×	node limit

Counts

52 → 83

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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.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 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.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)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(+.f64 (.f64 (/.f64 -1 a) b_2) (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(+.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (/.f64 -1 a) b_2))
(+.f64 (.f64 b_2 (/.f64 -1 a)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)))
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)) (.f64 b_2 (/.f64 -1 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a))) 1)
(.f64 -1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a))
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))
(.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a) 1)
(.f64 1 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)))
(.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) 2) (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a) -1)
(.f64 (.f64 (/.f64 -1 a) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 1 a) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 3) 1/3)
(pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) -1)
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 2))
(log.f64 (exp.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 a c)))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (/.f64 (.f64 1/2 c) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 c 3) (*.f64 a a))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 a (+.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) a))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
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(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(.f64 (.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 -1 a) (.f64 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2)) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))) a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))) 2)) a)) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))
(.f64 (/.f64 1 a) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 1)
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) 2)
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)) 3)
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 3) 1/3)
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) -1)
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 2))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(log.f64 (exp.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a))))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) 3))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(exp.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)) 1))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)))
(/.f64 (neg.f64 (+.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 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) a)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.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	@	0	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	b_2	@	0	(*.f64 -1/2 (/.f64 c b_2))
0.0ms	c	@	-inf	(*.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))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1849	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 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 pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1040×	`associate-r`
964×	`distribute-rgt-neg-out`
964×	`distribute-lft-neg-out`
924×	`associate-l`
652×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	145	417
2	544	297
3	3887	297

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))
(/.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) -1/2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(/.f64 (.f64 -1/2 c) (.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 b_2))))
(.f64 (/.f64 -1/2 (cbrt.f64 b_2)) (/.f64 c (cbrt.f64 (.f64 b_2 b_2))))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))
(fabs.f64 (*.f64 -1/2 (/.f64 c b_2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) -1/2))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) -1)
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.93%	(/.f64 c (/.f64 b_2 a))
✓	15.84%	(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unswap-sqr`
1006×	`associate-/r/`
952×	`swap-sqr`
470×	`associate-/l/`
346×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	38
2	3481	38

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (neg.f64 a) (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 a) (/.f64 b_2 (*.f64 (*.f64 1/2 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) (*.f64 (neg.f64 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 a) (*.f64 1/2 c)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 c) -1) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 c) -1) (*.f64 a (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 c) (/.f64 -1 a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) b_2) (*.f64 (neg.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) (*.f64 (neg.f64 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 (/.f64 b_2 a))) (*.f64 (neg.f64 a) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (*.f64 (neg.f64 a) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 c) 1) (*.f64 (/.f64 b_2 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1/2) (*.f64 a (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1/2) (*.f64 (neg.f64 a) (/.f64 b_2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 a) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 c b_2) (neg.f64 a)) (*.f64 1/2 (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 -1 a) 1/2) (*.f64 (/.f64 c b_2) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) 3) (pow.f64 (/.f64 -1 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2) (cbrt.f64 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (*.f64 (/.f64 c 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 b_2 a))) (/.f64 c (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 c (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 b_2)) (neg.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) b_2) (*.f64 (/.f64 (sqrt.f64 c) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (/.f64 b_2 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b_2) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (*.f64 (/.f64 (cbrt.f64 c) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 b_2)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c -1) (/.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 1)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 b_2 (*.f64 (sqrt.f64 c) a))) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 b_2 a)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c b_2) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c b_2) (/.f64 1 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c b_2) (/.f64 1 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 c) -1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) -1) (/.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 1)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) 1) (sqrt.f64 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 b_2)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) 1) (cbrt.f64 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 b_2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)) (*.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 c b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 c (/.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 c b_2) (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 c b_2) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (/.f64 b_2 a))))))))

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-rgt-in`
912×	`distribute-lft-in`
710×	`distribute-lft-neg-in`
610×	`distribute-rgt-neg-in`
590×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	332	3512
1	998	3422
2	4321	3422

Stop Event

1×	node limit

Counts

202 → 165

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 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a))) 1)
(/.f64 1/2 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 c a))))
(/.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) (neg.f64 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))
(/.f64 1 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 (*.f64 1/2 c) a))))
(/.f64 (.f64 1/2 c) (.f64 (neg.f64 a) (/.f64 b_2 a)))
(/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)
(/.f64 (.f64 (/.f64 -1 a) (.f64 1/2 c)) (/.f64 b_2 a))
(/.f64 (.f64 (.f64 1/2 c) -1) (*.f64 (/.f64 b_2 a) a))
(/.f64 (.f64 (.f64 1/2 c) -1) (*.f64 a (/.f64 b_2 a)))
(/.f64 (.f64 (.f64 1/2 c) (/.f64 -1 a)) (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (.f64 1/2 c) 1) (.f64 (neg.f64 a) (/.f64 b_2 a)))
(/.f64 (/.f64 (.f64 1/2 c) (sqrt.f64 (/.f64 b_2 a))) (.f64 (neg.f64 a) (sqrt.f64 (/.f64 b_2 a))))
(/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (neg.f64 a) (cbrt.f64 (/.f64 b_2 a))))
(/.f64 (.f64 (.f64 1/2 c) 1) (*.f64 (/.f64 b_2 a) (neg.f64 a)))
(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
(/.f64 (.f64 c -1/2) (.f64 (neg.f64 a) (/.f64 b_2 (neg.f64 a))))
(pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 3) 1/3)
(neg.f64 (.f64 (/.f64 1 a) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(neg.f64 (.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) (*.f64 1/2 (/.f64 -1 a))))
(neg.f64 (.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 1 a)))
(neg.f64 (.f64 (.f64 (/.f64 -1 a) 1/2) (*.f64 (/.f64 c b_2) (neg.f64 a))))
(neg.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) 3) (pow.f64 (/.f64 -1 a) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a)))) 1)
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1)
(*.f64 1 (/.f64 c (/.f64 b_2 a)))
(*.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (/.f64 c (/.f64 b_2 a))))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 a b_2)))
(*.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2) (cbrt.f64 (/.f64 c (/.f64 b_2 a))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 a b_2)))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 (neg.f64 c) (/.f64 a (neg.f64 b_2)))
(.f64 (.f64 (/.f64 c b_2) 1) a)
(.f64 (.f64 (/.f64 c b_2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (.f64 (/.f64 c b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 1 b_2) (.f64 c a))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c 1) a))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 b_2 a))) (/.f64 c (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 c (cbrt.f64 (/.f64 b_2 a))))
(*.f64 (/.f64 c 1) (/.f64 a b_2))
(*.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (/.f64 1 (neg.f64 b_2)) (neg.f64 (.f64 c a)))
(*.f64 (/.f64 c (neg.f64 b_2)) (neg.f64 a))
(.f64 (/.f64 (sqrt.f64 c) b_2) (.f64 (/.f64 (sqrt.f64 c) 1) a))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 b_2 a)))
(*.f64 (/.f64 (sqrt.f64 c) (/.f64 b_2 a)) (sqrt.f64 c))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 b_2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b_2) (/.f64 (cbrt.f64 c) (/.f64 1 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (.f64 (/.f64 (cbrt.f64 c) b_2) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 c (/.f64 b_2 a))))
(*.f64 (/.f64 a (neg.f64 b_2)) (neg.f64 c))
(*.f64 (/.f64 c -1) (/.f64 a (neg.f64 b_2)))
(*.f64 (/.f64 c (/.f64 b_2 1)) a)
(*.f64 (/.f64 c (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 1 (/.f64 b_2 (.f64 (sqrt.f64 c) a))) (sqrt.f64 c))
(*.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 b_2 a)) (cbrt.f64 c))
(*.f64 (/.f64 (/.f64 c b_2) -1) (neg.f64 a))
(*.f64 (/.f64 (/.f64 c b_2) 1) a)
(*.f64 (/.f64 (/.f64 c b_2) (/.f64 1 (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (/.f64 (/.f64 c b_2) (/.f64 1 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 (/.f64 (neg.f64 c) -1) (/.f64 a b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 a))
(*.f64 (/.f64 (/.f64 c 1) -1) (/.f64 a (neg.f64 b_2)))
(*.f64 (/.f64 (/.f64 c 1) 1) (/.f64 a b_2))
(*.f64 (/.f64 (/.f64 c 1) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
(*.f64 (/.f64 (/.f64 c 1) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))
(*.f64 (/.f64 (/.f64 c 1) (neg.f64 b_2)) (neg.f64 a))
(*.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 1)) a)
(*.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (/.f64 (/.f64 c 1) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) 1) (sqrt.f64 (/.f64 a b_2)))
(*.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 b_2)) (sqrt.f64 a))
(*.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) 1) (cbrt.f64 (/.f64 a b_2)))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 b_2)) (cbrt.f64 a))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 a)))
(.f64 (.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))))
(.f64 (.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))))
(.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)) (*.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)))
(.f64 (.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)))
(pow.f64 (/.f64 c (/.f64 b_2 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3) 1/3)
(pow.f64 (/.f64 b_2 (*.f64 c a)) -1)
(neg.f64 (*.f64 (/.f64 c b_2) (neg.f64 a)))
(neg.f64 (*.f64 c (/.f64 a (neg.f64 b_2))))
(neg.f64 (.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) 1))
(neg.f64 (.f64 1 (.f64 (/.f64 c b_2) (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 c) (/.f64 b_2 a)))
(sqrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 a b_2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b_2 a)))))
(cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))
(exp.f64 (log.f64 (/.f64 c (/.f64 b_2 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b_2 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 c (/.f64 b_2 a))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
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(*.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 b_2)) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (/.f64 c (.f64 (sqrt.f64 b_2) (sqrt.f64 (/.f64 b_2 a)))))
(*.f64 (sqrt.f64 a) (/.f64 (/.f64 c (sqrt.f64 b_2)) (sqrt.f64 (/.f64 b_2 a))))
(/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(.f64 (/.f64 c (.f64 (sqrt.f64 (neg.f64 b_2)) (sqrt.f64 (/.f64 b_2 a)))) (sqrt.f64 (neg.f64 a)))
(.f64 (/.f64 c (.f64 (sqrt.f64 (/.f64 b_2 a)) (sqrt.f64 (neg.f64 b_2)))) (sqrt.f64 (neg.f64 a)))
(*.f64 (/.f64 (/.f64 c (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (neg.f64 a)))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) 1) (cbrt.f64 (/.f64 a b_2)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 a b_2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 a b_2)) c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 b_2)) (cbrt.f64 a))
(.f64 (cbrt.f64 a) (/.f64 c (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))
(/.f64 (/.f64 (*.f64 c (cbrt.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 b_2))
(*.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 a)))
(.f64 (/.f64 c (.f64 (cbrt.f64 (neg.f64 b_2)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))) (cbrt.f64 (neg.f64 a)))
(.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (cbrt.f64 (neg.f64 b_2)))) (cbrt.f64 (neg.f64 a)))
(.f64 (.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 c (.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 c b_2))))
(*.f64 c (/.f64 a b_2))
(.f64 (.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 c (.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))
(*.f64 c (/.f64 a b_2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 (/.f64 c (/.f64 b_2 a)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))
(*.f64 c (/.f64 a b_2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2)))
(.f64 (.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))))))
(*.f64 c (/.f64 a b_2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)) (*.f64 (sqrt.f64 (/.f64 a b_2)) (sqrt.f64 c)))
(*.f64 c (/.f64 a b_2))
(.f64 (.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (sqrt.f64 c)))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 c)) (*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(.f64 c (.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b_2)) (/.f64 (sqrt.f64 a) (sqrt.f64 b_2))))
(pow.f64 (/.f64 c (/.f64 b_2 a)) 1)
(*.f64 c (/.f64 a b_2))
(pow.f64 (sqrt.f64 (/.f64 c (/.f64 b_2 a))) 2)
(*.f64 c (/.f64 a b_2))
(pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 3)
(*.f64 c (/.f64 a b_2))
(pow.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3) 1/3)
(*.f64 c (/.f64 a b_2))
(pow.f64 (/.f64 b_2 (*.f64 c a)) -1)
(*.f64 c (/.f64 a b_2))
(neg.f64 (*.f64 (/.f64 c b_2) (neg.f64 a)))
(*.f64 c (/.f64 a b_2))
(neg.f64 (*.f64 c (/.f64 a (neg.f64 b_2))))
(*.f64 c (/.f64 a b_2))
(neg.f64 (.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) 1))
(*.f64 c (/.f64 a b_2))
(neg.f64 (.f64 1 (.f64 (/.f64 c b_2) (neg.f64 a))))
(*.f64 c (/.f64 a b_2))
(neg.f64 (/.f64 (neg.f64 c) (/.f64 b_2 a)))
(*.f64 c (/.f64 a b_2))
(sqrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 2))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))
(fabs.f64 (*.f64 c (/.f64 a b_2)))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 a b_2)))
(*.f64 c (/.f64 a b_2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b_2 a)))))
(*.f64 c (/.f64 a b_2))
(cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) 3))
(*.f64 c (/.f64 a b_2))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)))
(*.f64 c (/.f64 a b_2))
(expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))
(*.f64 c (/.f64 a b_2))
(exp.f64 (log.f64 (/.f64 c (/.f64 b_2 a))))
(*.f64 c (/.f64 a b_2))
(exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b_2 a))) 1))
(*.f64 c (/.f64 a b_2))
(log1p.f64 (expm1.f64 (/.f64 c (/.f64 b_2 a))))
(*.f64 c (/.f64 a b_2))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	40.55%	(sqrt.f64 (*.f64 b_2 b_2))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	inf	(sqrt.f64 (*.f64 b_2 b_2))
0.0ms	b_2	@	0	(sqrt.f64 (*.f64 b_2 b_2))
0.0ms	b_2	@	-inf	(sqrt.f64 (*.f64 b_2 b_2))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`add-sqr-sqrt`
872×	`*-un-lft-identity`
836×	`associate-l`
820×	`pow1`
812×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	118	1
2	1162	1

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 b_2 b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 b_2)) (*.f64 (sqrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (*.f64 b_2 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 (sqrt.f64 (cbrt.f64 b_2)) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 b_2)) (*.f64 (sqrt.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (cbrt.f64 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 b_2)) (*.f64 (cbrt.f64 (sqrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (fabs.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 (fabs.f64 (cbrt.f64 b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 b_2)) (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b_2 (cbrt.f64 b_2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b_2 (cbrt.f64 b_2)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) (pow.f64 (*.f64 b_2 (cbrt.f64 b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-+l-`
838×	`distribute-lft-in`
734×	`distribute-rgt-in`
640×	`associate-+r+`
640×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	192
1	180	192
2	722	192
3	2433	182
4	7231	182

Stop Event

1×	node limit

Counts

50 → 48

Calls

Call 1

Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(-.f64 (+.f64 b_2 1) 1)
(*.f64 b_2 1)
(*.f64 b_2 (pow.f64 1 1/2))
(*.f64 1 b_2)
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))
(*.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))
(.f64 (sqrt.f64 (cbrt.f64 b_2)) (.f64 (sqrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (sqrt.f64 (cbrt.f64 b_2)) (sqrt.f64 b_2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
(.f64 (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) 1))
(.f64 (sqrt.f64 (sqrt.f64 b_2)) (.f64 (sqrt.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 b_2)) (cbrt.f64 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
(.f64 (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
(.f64 (cbrt.f64 (sqrt.f64 b_2)) (.f64 (cbrt.f64 (sqrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (fabs.f64 (cbrt.f64 b_2)))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (fabs.f64 (cbrt.f64 b_2)) 1))
(*.f64 (fabs.f64 (cbrt.f64 b_2)) (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(*.f64 (pow.f64 1 1/2) b_2)
(.f64 (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2))
(.f64 (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) 1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2))
(pow.f64 b_2 1)
(pow.f64 (*.f64 b_2 b_2) 1/2)
(pow.f64 (sqrt.f64 b_2) 2)
(pow.f64 (cbrt.f64 b_2) 3)
(pow.f64 (pow.f64 b_2 3) 1/3)
(fabs.f64 b_2)
(fabs.f64 (neg.f64 b_2))
(log.f64 (exp.f64 b_2))
(cbrt.f64 (pow.f64 b_2 3))
(expm1.f64 (log1p.f64 b_2))
(exp.f64 (log.f64 b_2))
(log1p.f64 (expm1.f64 b_2))

Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(-.f64 (+.f64 b_2 1) 1)
b_2
(*.f64 b_2 1)
b_2
(*.f64 b_2 (pow.f64 1 1/2))
b_2
(*.f64 1 b_2)
b_2
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
b_2
(*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))
b_2
(*.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))
b_2
(.f64 (sqrt.f64 (cbrt.f64 b_2)) (.f64 (sqrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
b_2
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))))
b_2
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (sqrt.f64 (cbrt.f64 b_2)) (sqrt.f64 b_2)))
b_2
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
b_2
(.f64 (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
b_2
(.f64 (sqrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) 1))
b_2
(.f64 (sqrt.f64 (sqrt.f64 b_2)) (.f64 (sqrt.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2)))
b_2
(.f64 (.f64 (cbrt.f64 (cbrt.f64 b_2)) (cbrt.f64 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
b_2
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (cbrt.f64 b_2))) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (cbrt.f64 (cbrt.f64 b_2)) (.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
b_2
(.f64 (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2)))
(.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2))) (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))))
(.f64 (cbrt.f64 b_2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2)))))
(.f64 (cbrt.f64 (sqrt.f64 b_2)) (.f64 (cbrt.f64 (sqrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (cbrt.f64 (sqrt.f64 b_2)) (.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (sqrt.f64 b_2))))
(.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 (sqrt.f64 b_2)) (cbrt.f64 (sqrt.f64 b_2))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (fabs.f64 (cbrt.f64 b_2)))
b_2
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)) (.f64 (fabs.f64 (cbrt.f64 b_2)) 1))
b_2
(*.f64 (fabs.f64 (cbrt.f64 b_2)) (fabs.f64 (pow.f64 (cbrt.f64 b_2) 2)))
b_2
(*.f64 (pow.f64 1 1/2) b_2)
b_2
(.f64 (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2))
b_2
(.f64 (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) 1))
b_2
(.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 1/2) (pow.f64 (.f64 b_2 (cbrt.f64 b_2)) 1/2))
b_2
(pow.f64 b_2 1)
b_2
(pow.f64 (*.f64 b_2 b_2) 1/2)
b_2
(pow.f64 (sqrt.f64 b_2) 2)
b_2
(pow.f64 (cbrt.f64 b_2) 3)
b_2
(pow.f64 (pow.f64 b_2 3) 1/3)
b_2
(fabs.f64 b_2)
b_2
(fabs.f64 (neg.f64 b_2))
b_2
(log.f64 (exp.f64 b_2))
b_2
(cbrt.f64 (pow.f64 b_2 3))
b_2
(expm1.f64 (log1p.f64 b_2))
b_2
(exp.f64 (log.f64 b_2))
b_2
(log1p.f64 (expm1.f64 b_2))
b_2

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.54%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
✓	4.59%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 a))
✓	15.54%	(/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))
	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 81 to 17 computations (79% saved)

series29.0ms (0.3%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	inf	(/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))
4.0ms	c	@	inf	(/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))
2.0ms	c	@	inf	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 a))
2.0ms	a	@	inf	(/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))
2.0ms	c	@	-inf	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 a))

rewrite143.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/r/`
732×	`associate-+l+`
398×	`add-sqr-sqrt`
388×	`pow1`
388×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	131
1	384	99
2	5887	99

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (*.f64 (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) (sqrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) (*.f64 (sqrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) 2) (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) 2) (*.f64 (cbrt.f64 (*.f64 a (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c a) 2)) (*.f64 (cbrt.f64 (*.f64 c a)) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) 1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) 1) (/.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))) (/.f64 (*.f64 c a) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 c (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) (pow.f64 b_2 3))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 (*.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) (pow.f64 b_2 3))) (*.f64 (*.f64 c a) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))) (/.f64 a (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))) (/.f64 c (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c a) 2)) 1) (/.f64 (cbrt.f64 (*.f64 c a)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) 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(2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 b_2))))))

simplify186.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-r`
1132×	`associate-/l*`
1076×	`*-commutative`
1032×	`associate-l`
940×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	784	16994
1	2466	16642

Stop Event

1×	node limit

Counts

278 → 425

Calls

Call 1

Inputs
(*.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 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))))))
(+.f64 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.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) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 c 3)) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 -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)))) b_2) c))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(*.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 (.f64 -1/4 (/.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b_2 5))) (+.f64 (.f64 -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)) (.f64 c (.f64 a (pow.f64 b_2 5))))) (.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 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (.f64 -1/32 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b_2 7))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 b_2 3))) (.f64 1/8 (/.f64 a (pow.f64 b_2 3)))))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 b_2 3))) (.f64 1/8 (/.f64 a (pow.f64 b_2 3)))))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 b_2 3))) (.f64 1/8 (/.f64 a (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.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) (pow.f64 a 2))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5))))))) (*.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 (.f64 -1 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)))))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 -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)))) b_2) c)))))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)))))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))))))
(*.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 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) a)) (.f64 -1/4 (.f64 (pow.f64 c 2) a))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) a)) (.f64 -1/4 (.f64 (pow.f64 c 2) a))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -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)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 -1/4 (.f64 c (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) a)) (.f64 -1/4 (.f64 (pow.f64 c 2) a))) a))) (.f64 1/16 (*.f64 (pow.f64 c 3) (pow.f64 a 2))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7)))))))
(.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))
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(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2) (pow.f64 b_2 3))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(fma.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (neg.f64 b_2))

Outputs
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))))))
(fma.f64 2 b_2 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8))))
(fma.f64 2 b_2 (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2)))))
(+.f64 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.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) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 c 3)) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))))))
(fma.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8) 2)) (/.f64 a b_2)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (.f64 -1/4 (/.f64 a (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8)))))) (pow.f64 c 3) (fma.f64 2 b_2 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8)))))
(fma.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (/.f64 (.f64 (.f64 a a) -1/8) (pow.f64 b_2 3)) 2)) (/.f64 a b_2)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (.f64 -1/4 (.f64 (/.f64 a (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 a a) -1/8) (pow.f64 b_2 3)))))) (pow.f64 c 3) (fma.f64 2 b_2 (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (*.f64 c a) 2))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8))))
(fma.f64 2 b_2 (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 -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)))) b_2) c))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)))) (.f64 -2 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 c b_2))))) (fma.f64 (.f64 a a) (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 2 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (fma.f64 -1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c c)))) (.f64 -2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c c))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 c b_2))))) (fma.f64 2 b_2 (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(.f64 -1 (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 -1 (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) -1/2)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)) (/.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 4))))) (pow.f64 b_2 3) (.f64 -1 (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) -1/2)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (sqrt.f64 -1) -1/2)) (/.f64 1/2 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 b_2 3) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))
(+.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 2 b_2 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) -1/8))))
(fma.f64 2 b_2 (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b_2 5))) (+.f64 (.f64 -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)) (.f64 c (.f64 a (pow.f64 b_2 5))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (.f64 -1/8 (.f64 c c)) (.f64 a a)))) (pow.f64 b_2 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 a a)) 2)) (.f64 c (.f64 a (pow.f64 b_2 5)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 2 b_2 (+.f64 (fma.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -1/8) (pow.f64 b_2 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 c a) 2)) 2)) (.f64 (.f64 c a) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 (.f64 c a))))) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2))))))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(/.f64 (*.f64 c 1/2) (/.f64 b_2 a))
(+.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)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (.f64 c 1/2) (/.f64 b_2 a)))
(+.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))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c 1/2) (/.f64 b_2 a))))
(+.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 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (.f64 -1/32 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b_2 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 (/.f64 (.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) -5/128) (pow.f64 b_2 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (neg.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (/.f64 (pow.f64 b_2 7) -5/128))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c 1/2) b_2))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 b_2 3))) (.f64 1/8 (/.f64 a (pow.f64 b_2 3)))))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -1 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b_2 3)) -1/8)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 -1 (.f64 c (.f64 c (/.f64 (.f64 a -1/8) (pow.f64 b_2 3)))) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (.f64 c 1/2) b_2)))
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(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2)) 1))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(fma.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (neg.f64 b_2))

eval448.0ms (4.1%)

Compiler: Compiled 29731 to 12210 computations (58.9% saved)

prune373.0ms (3.4%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1077	16	1093
Fresh	3	19	22
Picked	1	0	1
Done	0	6	6
Total	1081	41	1122

Error

7.77%

Counts

1122 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	65.91%	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.47%	(/.f64 (/.f64 (.f64 c (neg.f64 a)) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
	63.43%	(/.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (neg.f64 a) (/.f64 1 a)))
	74.58%	(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
▶	52.72%	(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
▶	79.64%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	86.14%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 3) 1/3)) a)
✓	52.58%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	72.44%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	75.73%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	88.95%	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	68.59%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	84.85%	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 b_2 3))) a)
	67.35%	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	71.97%	(/.f64 (.f64 (/.f64 -1 a) (.f64 1/2 c)) (/.f64 b_2 a))
	68.33%	(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
	87.13%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 a a))
	89.53%	(/.f64 (*.f64 1/2 c) b_2)
	70.26%	(/.f64 1/2 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 c a))))
	64.17%	(/.f64 -1/2 (/.f64 b_2 c))
	55.19%	(/.f64 -1 (/.f64 a (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))))
✓	52.7%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	72.49%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))
	70.26%	(/.f64 -1 (/.f64 a (.f64 1/2 (/.f64 (.f64 c a) b_2))))
	65.39%	(/.f64 -2 (/.f64 a b_2))
▶	65.61%	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	69.37%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
	75.2%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))) (/.f64 -1 a))
	69.35%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2) b_2)) (/.f64 -1 a))
	69.35%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) (/.f64 -1 a))
▶	63.49%	(*.f64 (/.f64 -1/2 b_2) c)
	72.51%	(.f64 (+.f64 b_2 (sqrt.f64 (.f64 -1 (*.f64 c a)))) (/.f64 -1 a))
	65.31%	(*.f64 (+.f64 b_2 b_2) (/.f64 -1 a))
✓	71.42%	(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))
✓	63.4%	(*.f64 -1/2 (/.f64 c b_2))
	97.57%	(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
✓	65.22%	(*.f64 -2 (/.f64 b_2 a))
▶	82.5%	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	84.92%	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
	88.03%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) 3))
	97.14%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 b_2 2) a) 3))

Compiler

Compiled 1073 to 741 computations (30.9% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.39%	(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	0.63%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
	0.96%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 70 to 19 computations (72.9% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`associate-/l*`
924×	`associate-/r/`
582×	`associate-+l+`
364×	`add-sqr-sqrt`
354×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	355	39
2	5026	39

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 a) b_2) (*.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 -1 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (/.f64 -1 a)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 -1 a)) (*.f64 b_2 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) (neg.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 a)) (*.f64 (sqrt.f64 (/.f64 -1 a)) (+.f64 b_2 (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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (*.f64 (/.f64 -1 (cbrt.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) (*.f64 (/.f64 -1 a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (+.f64 b_2 (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 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 (/.f64 1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) (*.f64 (/.f64 1 a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 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 -1 a)) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) 1) (*.f64 (/.f64 (/.f64 -1 (cbrt.f64 a)) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1/2)) (/.f64 (/.f64 -1 (cbrt.f64 a)) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)) (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 -1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 a) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2)))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2))) (/.f64 -1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 -1)) (sqrt.f64 (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 (/.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) -1) (cbrt.f64 (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 (/.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))) 1) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1 a) (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(*.f64 a c)))) (neg.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))))))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1884×	`associate-/l*`
1570×	`distribute-lft-in`
1244×	`associate-/r*`
968×	`associate-/l/`
540×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4794
1	840	4572
2	3098	4520

Stop Event

1×	node limit

Counts

80 → 133

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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.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 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.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)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(+.f64 (.f64 (/.f64 -1 a) b_2) (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(+.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (/.f64 -1 a) b_2))
(+.f64 (.f64 b_2 (/.f64 -1 a)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)))
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)) (.f64 b_2 (/.f64 -1 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))) 1)
(.f64 -1 (.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 -1 a) (neg.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) 1)
(.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (sqrt.f64 (/.f64 -1 a)) (.f64 (sqrt.f64 (/.f64 -1 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))
(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (.f64 (/.f64 -1 (cbrt.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))
(.f64 (/.f64 1 a) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a))
(.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (/.f64 1 a))
(.f64 (.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) (.f64 (/.f64 -1 a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
(.f64 (.f64 -1 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 (/.f64 1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) (.f64 (/.f64 1 a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (sqrt.f64 (/.f64 -1 a)))
(.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) (.f64 (/.f64 (sqrt.f64 (/.f64 -1 a)) 1) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) 1) (.f64 (/.f64 (/.f64 -1 (cbrt.f64 a)) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -1/2)) (/.f64 (/.f64 -1 (cbrt.f64 a)) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) -1/2)))
(.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a) -1)
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)) (/.f64 -1 (sqrt.f64 a)))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1 (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 -1 (cbrt.f64 a)))
(.f64 (/.f64 (/.f64 -1 a) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2)))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2))) (/.f64 -1 (cbrt.f64 a)))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 1) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(.f64 (/.f64 (/.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) -1) (cbrt.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(.f64 (/.f64 (/.f64 (/.f64 -1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) 1) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (+.f64 (-.f64 (+.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (.f64 a c)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (-.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 3))) (-.f64 (+.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 3) 1/3)
(pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) -1)
(neg.f64 (.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (*.f64 c c) 1/8) (pow.f64 b_2 3)) a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 1/16 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3)))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 b_2 b_2)) (/.f64 (sqrt.f64 -1) -1/2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.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 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (/.f64 b_2 a)))))
(+.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (-.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (pow.f64 b_2 4)) (*.f64 -1 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (*.f64 c c) 1/8) (pow.f64 b_2 3)) a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 1/16 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3)))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 (/.f64 -1/2 b_2) c)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 (/.f64 c b_2) -1/2 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) -1/8 (fma.f64 (/.f64 c b_2) -1/2 (/.f64 (.f64 (.f64 -1/16 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) -1/8 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (.f64 (/.f64 -1/2 b_2) c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.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)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 a a)) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (/.f64 (*.f64 -1/2 c) b_2))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) -1/8 (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 (/.f64 c b_2) -1/2 (/.f64 (.f64 (.f64 -1/16 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) -1/8 (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (.f64 (/.f64 -1/2 b_2) c))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (*.f64 c c) 1/8) (pow.f64 b_2 3)) a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 1/16 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 b_2 3) (.f64 c c))) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3)))))))
(+.f64 (.f64 (/.f64 -1 a) b_2) (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(+.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (/.f64 -1 a) b_2))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(+.f64 (.f64 b_2 (/.f64 -1 a)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 -1 a)) (.f64 b_2 (/.f64 -1 a)))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))) 1)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(.f64 -1 (.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
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(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))) (.f64 (/.f64 -1 a) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (neg.f64 a)) (cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2)))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (+.f64 (-.f64 (+.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (.f64 a c)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 (/.f64 -1 a) (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (fma.f64 a c 0))) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 a c)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(.f64 (/.f64 (/.f64 (.f64 a (neg.f64 c)) a) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 a c))))
(.f64 (/.f64 a (/.f64 (.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) a) (neg.f64 c))) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 a c))))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (-.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(.f64 (/.f64 (/.f64 -1 a) (/.f64 (-.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))) (+.f64 (fma.f64 a c 0) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a) (/.f64 (-.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))))) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (neg.f64 a)) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c)))) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (*.f64 a c)))
(.f64 (/.f64 (.f64 (/.f64 -1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 3))) (-.f64 (+.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
(.f64 (/.f64 (/.f64 -1 a) (/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 3)) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))))
(.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) (.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) 3)) a)) (+.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) (-.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) (.f64 b_2 b_2)))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (neg.f64 a)) (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) 3))) (+.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a c))) (neg.f64 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (*.f64 a c))))))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 1)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) 2)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))) 3)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 3) 1/3)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(pow.f64 (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) -1)
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(neg.f64 (.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 2))
(fabs.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))
(log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) 3))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 3)))
(cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 a 3)) (/.f64 1 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3))))
(cbrt.f64 (.f64 (/.f64 (/.f64 -1 (pow.f64 a 3)) 1) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 3)))
(cbrt.f64 (.f64 (/.f64 -1 (pow.f64 a 3)) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) 1))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.34%	(*.f64 (/.f64 -1/2 b_2) c)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1424×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1314×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1798	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 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 pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 -1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1852×	`distribute-rgt-in`
1842×	`distribute-lft-in`
1076×	`associate-r`
966×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	145	598
2	552	598
3	4252	598

Stop Event

1×	node limit

Counts

46 → 23

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 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (*.f64 b_2 -2))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 c 1/2) (neg.f64 b_2))
(/.f64 (*.f64 1/2 c) (neg.f64 b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 -1/2 b_2)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))

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 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c 1/2) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 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))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))
(*.f64 -1/2 (/.f64 c b_2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(*.f64 1/2 (/.f64 c b_2))
✓	0.68%	(/.f64 -2 (/.f64 a b_2))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1492×	`add-cube-cbrt`
1476×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2007	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (/.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 a)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 a b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-/l*`
1084×	`distribute-lft-in`
1016×	`distribute-rgt-in`
892×	`associate-+r+`
830×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	706
1	163	706
2	649	706
3	2573	706

Stop Event

1×	node limit

Counts

52 → 31

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 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) 1)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (.f64 -2 (/.f64 b_2 a)) 1)
(.f64 1 (.f64 -2 (/.f64 b_2 a)))
(.f64 (sqrt.f64 (.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 (/.f64 -2 a) b_2)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 2 (/.f64 1 (/.f64 (neg.f64 a) b_2)))
(.f64 (.f64 (/.f64 -2 a) 1) b_2)
(.f64 (.f64 (/.f64 -2 a) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(.f64 (.f64 (/.f64 -2 a) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))
(*.f64 (/.f64 -2 (neg.f64 a)) (neg.f64 b_2))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 a b_2) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 a b_2) 2)))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 a)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(log1p.f64 (expm1.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 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) 1)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(.f64 1 (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (sqrt.f64 (.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 -2 a) b_2)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 2 (/.f64 1 (/.f64 (neg.f64 a) b_2)))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 -2 a) 1) b_2)
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 -2 a) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 -2 a) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))
(.f64 (/.f64 -2 a) (.f64 (cbrt.f64 (*.f64 b_2 b_2)) (cbrt.f64 b_2)))
(.f64 (/.f64 (.f64 -2 (cbrt.f64 (*.f64 b_2 b_2))) a) (cbrt.f64 b_2))
(*.f64 (/.f64 -2 (neg.f64 a)) (neg.f64 b_2))
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 (/.f64 a b_2) -1/2) -1)
(*.f64 -2 (/.f64 b_2 a))
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 a b_2) 2)))
(sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 2))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(*.f64 -2 (/.f64 b_2 a))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(*.f64 -2 (/.f64 b_2 a))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 20 to 10 computations (50% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.54%	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	16.37%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
✓	30.4%	(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
	35.36%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 88 to 12 computations (86.4% saved)

series12.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

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

rewrite159.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-/r/`
684×	`associate-+l+`
492×	`associate-+r+`
380×	`add-sqr-sqrt`
370×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	135
1	352	63
2	5870	63

Stop Event

1×	node limit

Counts

3 → 318

Calls

Call 1

Inputs

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

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

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

Outputs

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(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b_2 b_2)) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))))

simplify224.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-r`
1130×	`associate-l`
1116×	`associate-/r*`
1072×	`*-commutative`
826×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	921	24580
1	2920	24092

Stop Event

1×	node limit

Counts

394 → 569

Calls

Call 1

Inputs
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2)) (+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))) (+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(*.f64 -2 (/.f64 b_2 a))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a)))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a)))
(+.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(+.f64 b_2 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1))
(+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 b_2 (+.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) b_2)
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(+.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1) b_2)
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(+.f64 (-.f64 b_2 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))) 1)
(.f64 (.f64 c a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1)
(.f64 1 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 2)) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (/.f64 1 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)))
(.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (*.f64 c a))
(.f64 (/.f64 1 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))
(.f64 (/.f64 (.f64 c a) (.f64 c a)) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(.f64 (/.f64 (.f64 c a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (sqrt.f64 (.f64 c a)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (.f64 c a)))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (-.f64 (pow.f64 b_2 4) (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))) (-.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) 3))) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (.f64 (.f64 b_2 b_2) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))))
(/.f64 (.f64 c a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (.f64 c a) (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (.f64 c a)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(/.f64 (sqrt.f64 (.f64 c a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (sqrt.f64 (*.f64 c a))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (*.f64 c a))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3)) (.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a)))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (-.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 3)) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))
(pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 1)
(pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 2)
(pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 3)
(pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 2))
(log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))
(cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 3))
(expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(exp.f64 (.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) 1))
(log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))

Outputs
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
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(.f64 (/.f64 1 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(/.f64 (.f64 1 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (/.f64 (.f64 c a) (.f64 c a)) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (/.f64 (.f64 c a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (/.f64 c (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (sqrt.f64 (.f64 c a)))
(/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (.f64 c a)))
(.f64 (cbrt.f64 (.f64 c a)) (/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 (.f64 c a) 2))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (-.f64 (pow.f64 b_2 4) (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))) (-.f64 (.f64 c a) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) 3))) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (.f64 (.f64 b_2 b_2) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) 3))) (+.f64 (pow.f64 b_2 4) (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (*.f64 b_2 b_2)))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 4) (.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (.f64 b_2 b_2)))))) (+.f64 (pow.f64 b_2 6) (pow.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 3)))
(/.f64 (.f64 c a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a))
(/.f64 (.f64 c a) (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 c (/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) a))
(/.f64 c (/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) b_2) a))
(/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (.f64 c a)))
(/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(/.f64 (.f64 1 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (sqrt.f64 (.f64 c a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (sqrt.f64 (*.f64 c a))))
(/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) a))
(/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (.f64 c a)) (/.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 (.f64 c a) 2))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3)) (.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a)))))))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3)) (.f64 (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 c a)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))) (-.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 3)) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) (.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 3)) (fma.f64 b_2 b_2 (.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (-.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 c a)))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))
(pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 1)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 2)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) 3)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 3) 1/3)
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 2))
(log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 3))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))) 1))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 1 b_2 (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))

eval450.0ms (4.1%)

Compiler: Compiled 39248 to 11889 computations (69.7% saved)

prune734.0ms (6.6%)

Pruning

46 alts after pruning (37 fresh and 9 done)

	Pruned	Kept	Total
New	1148	9	1157
Fresh	2	28	30
Picked	1	0	1
Done	1	9	10
Total	1152	46	1198

Error

7.77%

Counts

1198 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	65.45%	(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
	65.91%	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.47%	(/.f64 (/.f64 (.f64 c (neg.f64 a)) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
	63.43%	(/.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (neg.f64 a) (/.f64 1 a)))
	63.95%	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
	74.58%	(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
	72.5%	(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))
	65.39%	(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 b_2)))
	71.45%	(/.f64 (/.f64 -1 a) (/.f64 1 (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
	96.23%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2))))
	96.23%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
	86.14%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 3) 1/3)) a)
✓	52.58%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	72.44%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	75.73%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	88.95%	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	68.59%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	84.85%	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 b_2 3))) a)
	67.35%	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	71.97%	(/.f64 (.f64 (/.f64 -1 a) (.f64 1/2 c)) (/.f64 b_2 a))
	61.71%	(/.f64 (.f64 c a) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	68.33%	(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
	87.13%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 a a))
	89.53%	(/.f64 (*.f64 1/2 c) b_2)
	70.26%	(/.f64 1/2 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 c a))))
	64.17%	(/.f64 -1/2 (/.f64 b_2 c))
	55.19%	(/.f64 -1 (/.f64 a (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))))
✓	52.7%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	72.49%	(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))
	70.26%	(/.f64 -1 (/.f64 a (.f64 1/2 (/.f64 (.f64 c a) b_2))))
	65.39%	(/.f64 -2 (/.f64 a b_2))
✓	65.61%	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	69.52%	(+.f64 (/.f64 -2 (/.f64 a b_2)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
	69.35%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2) b_2)) (/.f64 -1 a))
	69.35%	(.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) (/.f64 -1 a))
✓	63.49%	(*.f64 (/.f64 -1/2 b_2) c)
	72.51%	(.f64 (+.f64 b_2 (sqrt.f64 (.f64 -1 (*.f64 c a)))) (/.f64 -1 a))
	65.31%	(*.f64 (+.f64 b_2 b_2) (/.f64 -1 a))
✓	71.42%	(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))
✓	63.4%	(*.f64 -1/2 (/.f64 c b_2))
	97.57%	(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
✓	65.22%	(*.f64 -2 (/.f64 b_2 a))
✓	82.5%	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	84.92%	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
	88.03%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) 3))
	97.14%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 b_2 2) a) 3))

Compiler

Compiled 658 to 454 computations (31% saved)

regimes876.0ms (7.9%)

Counts

63 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 1/2 c) b_2)
(*.f64 (+.f64 b_2 b_2) (/.f64 -1 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 b_2)))
(/.f64 1/2 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 c a))))
(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))
(.f64 (.f64 1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 -1 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 -1 (/.f64 a (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(/.f64 (.f64 (/.f64 -1 a) (.f64 1/2 c)) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (/.f64 -1 a) (/.f64 1 (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))) (/.f64 -1 a))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) (/.f64 -1 a))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2) b_2)) (/.f64 -1 a))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2))))
(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 -1 (*.f64 c a)))) (/.f64 -1 a))
(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (/.f64 -1 a))
(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))
(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (.f64 a a))
(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (.f64 c a) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (/.f64 (.f64 c (neg.f64 a)) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (/.f64 -1 a))
(/.f64 -1 (/.f64 a (/.f64 (.f64 c (neg.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (*.f64 b_2 b_2))))) a)
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b_2 2) a) 3))
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 b_2 3))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 3) 1/3)) a)
(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))))
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))) a)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) 3))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 3))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))) 2)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))

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

Calls

4 calls:

414.0ms	c
228.0ms	a
96.0ms	b_2
72.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
42.01%	7	`a`
13.19%	3	`b_2`
41.04%	9	`c`
20.3%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 850 to 343 computations (59.6% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.885112634707537e+52	3.130556251410322e+53
29.0ms	-3.321572571769298e-104	-8.103702561097983e-113

Results

25.0ms	192×	body	256	valid
5.0ms	19×	body	1024	valid
4.0ms	42×	body	256	invalid
2.0ms	9×	body	512	valid
1.0ms	4×	body	2048	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 416 to 287 computations (31% saved)

regimes691.0ms (6.2%)

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 1/2 c) b_2)
(*.f64 (+.f64 b_2 b_2) (/.f64 -1 a))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
(/.f64 (/.f64 -1 a) (/.f64 1 (+.f64 b_2 b_2)))
(/.f64 1/2 (.f64 (neg.f64 a) (/.f64 b_2 (.f64 c a))))
(.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -1 a))
(.f64 (.f64 1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 -1 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 -1 (/.f64 a (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(/.f64 (.f64 (/.f64 -1 a) (.f64 1/2 c)) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (/.f64 -1 a) (/.f64 1 (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))) (/.f64 -1 a))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) (/.f64 -1 a))
(.f64 (/.f64 (.f64 c (neg.f64 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2) b_2)) (/.f64 -1 a))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (neg.f64 a) (-.f64 b_2 (-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2))))
(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
(.f64 -2 (/.f64 (.f64 (cbrt.f64 -1) b_2) a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 -1 (*.f64 c a)))) (/.f64 -1 a))
(/.f64 -1 (/.f64 a (+.f64 b_2 (sqrt.f64 (.f64 -1 (.f64 c a))))))

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

Calls

3 calls:

300.0ms	c
271.0ms	b_2
112.0ms	a

Results

Error	Segments	Branch
51.35%	7	`a`
16.77%	3	`b_2`
50.06%	11	`c`

Compiler

Compiled 375 to 182 computations (51.5% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1490049566737913e-53	1.7456918308149383e-53
31.0ms	-3.321572571769298e-104	-8.103702561097983e-113

Results

21.0ms	171×	body	256	valid
6.0ms	49×	body	256	invalid
5.0ms	16×	body	1024	valid
3.0ms	15×	body	512	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 345 to 252 computations (27% saved)

regimes184.0ms (1.7%)

Accuracy

Total -43.7b remaining (-219%)

Threshold costs -43.7b (-219%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	a
62.0ms	c
26.0ms	b_2

Results

Error	Segments	Branch
54.13%	5	`a`
31.17%	2	`b_2`
55.75%	5	`c`

Compiler

Compiled 331 to 160 computations (51.7% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1.9975898109675751e-249	-3.4855966549513243e-252

Results

14.0ms	127×	body	256	valid
12.0ms	55×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
30×	`*-commutative`
22×	`sub-neg`
20×	`neg-mul-1`
20×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	242
1	63	242
2	83	242
3	105	242
4	118	242
5	125	242
6	127	242

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 310000000000000019166142021610758639164042581488173056) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5164499756173817/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 463711082674991/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -3662979659241429/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 -1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(if (<=.f64 b_2 -8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 310000000000000019166142021610758639164042581488173056) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 310000000000000019166142021610758639164042581488173056) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -5164499756173817/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 463711082674991/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5164499756173817/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 463711082674991/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -3662979659241429/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 -1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 102 to 67 computations (34.3% saved)

soundness0.0ms (0%)

end44.0ms (0.4%)

Compiler: Compiled 93 to 52 computations (44.1% saved)