Details

analyze374.0ms (5.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.5s (38.8%)

Results

765.0ms	5176×	body	64	valid
637.0ms	1147×	body	2048	valid
373.0ms	795×	body	1024	valid
305.0ms	430×	body	4096	valid
188.0ms	1531×	body	64	invalid
161.0ms	420×	body	512	valid
57.0ms	191×	body	256	valid
20.0ms	97×	body	128	valid

preprocess129.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
689×	`div-sub_binary64`
538×	`unsub-neg_binary64`
508×	`times-frac_binary64`
354×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1057	72
7	1768	72
8	4025	72
9	5457	72
10	6864	72
11	7185	72
12	7258	72
13	7322	72
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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a 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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) c)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) 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 (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
361×	`div-sub_binary64`
341×	`fma-def_binary64`
313×	`associate-/l*_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	948	18
9	1471	18
10	2000	18
11	3220	18
12	4095	18
13	4427	18
14	4435	18
15	4443	18
16	4469	18
17	4485	18
18	4521	18
19	4553	18
20	4565	18

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	31.9b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 58 to 30 computations (48.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series25.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

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

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
630×	`log-prod_binary64`
338×	`fma-neg_binary64`
323×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3653	52

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.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 (sqrt.f64 (cbrt.f64 (pow.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) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.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))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) 3)))) (#(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 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))) (neg.f64 (+.f64 b_2 (hypot.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 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a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 b_2 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(/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (.f64 a a))) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c))))) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a)))))))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-r_binary64`
706×	`fma-def_binary64`
682×	`associate-l_binary64`
681×	`associate-/l*_binary64`
541×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2316
1	506	2235
2	1737	2145

Stop Event

1×	node limit

Counts

453 → 439

Calls

Call 1

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

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

prune1.1s (17.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	425	14	439
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	426	14	440

Error

6.5b

Counts

440 → 14

Alt Table

Status	Error	Program
▶	31.3b	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
	32.1b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	33.6b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
	55.1b	(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a) 3) 1/3)
	31.4b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
	47.5b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	41.8b	(/.f64 c (/.f64 b_2 -1/2))
	50.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	45.8b	(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
	31.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	31.3b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	33.6b	(/.f64 (fma.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) (neg.f64 b_2)) a)
	39.9b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
	47.5b	(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)

Compiler

Compiled 10761 to 3655 computations (66% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
✓	0.7b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	13.4b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series55.0ms (0.8%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
24.0ms	a	@	-inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
4.0ms	a	@	-inf	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
3.0ms	a	@	inf	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
3.0ms	a	@	0	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
2.0ms	c	@	inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`prod-diff_binary64`
600×	`log-prod_binary64`
296×	`pow2_binary64`
267×	`fma-def_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	256	33
2	3438	33

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

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

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
462×	`distribute-rgt-neg-out_binary64`
428×	`associate-/l*_binary64`
417×	`fma-def_binary64`
372×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	961
1	315	878
2	956	800
3	5101	770

Stop Event

1×	node limit

Counts

209 → 232

Calls

Call 1

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

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

prune244.0ms (3.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	229	3	232
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	233	13	246

Error

0.1b

Counts

246 → 13

Alt Table

Status	Error	Program
✓	31.3b	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
	32.1b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	33.6b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
	31.4b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
	41.8b	(/.f64 c (/.f64 b_2 -1/2))
	43.9b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))
	45.8b	(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
	31.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
▶	31.3b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	33.6b	(/.f64 (fma.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) (neg.f64 b_2)) a)
	39.9b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
	44.9b	(.f64 (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) (/.f64 1 a))
	44.5b	(.f64 (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) (/.f64 1 a))

Compiler

Compiled 5552 to 2127 computations (61.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
✓	0.1b	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
	0.7b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	13.4b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series73.0ms (1.1%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
5.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
5.0ms	c	@	0	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
5.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
4.0ms	c	@	inf	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`prod-diff_binary64`
622×	`log-prod_binary64`
313×	`pow2_binary64`
262×	`fma-def_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	263	30
2	3575	30

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

877×	`associate-/l*_binary64`
740×	`associate-/r*_binary64`
459×	`associate-*l/_binary64`
310×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1717
1	640	1507
2	2655	1350

Stop Event

1×	node limit

Counts

111 → 134

Calls

Call 1

Inputs
(/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a)))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)))))) (/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)))))) (/.f64 a (sqrt.f64 (neg.f64 (.f64 c a)))))))
(.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a))) (pow.f64 b_2 3))) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a))))) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)) 2))) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a))) (pow.f64 b_2 3))) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2))))))
(*.f64 -1/2 (/.f64 a b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 a b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 a b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a) (pow.f64 b_2 7))) (+.f64 (.f64 -1/2 (/.f64 a b_2)) (.f64 1/128 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 6) a) (pow.f64 b_2 7)))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)))) (pow.f64 a 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))))) (pow.f64 b_2 3)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (*.f64 a b_2)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)))) (pow.f64 a 2)))) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)))) (pow.f64 a 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a))))) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)) 2))) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a))))) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)))) (pow.f64 a 2)))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)))) (pow.f64 a 2)))) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a)) (.f64 1/128 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) (.f64 a (pow.f64 b_2 5)))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2)))))))))

Outputs
(/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))
(/.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))
(/.f64 a (sqrt.f64 (neg.f64 (*.f64 a c))))
(/.f64 a (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a)))))
(+.f64 (/.f64 a (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 2)))
(+.f64 (/.f64 a (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 (/.f64 a (neg.f64 (*.f64 a c))) b_2))
(+.f64 (/.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (/.f64 (/.f64 a a) (neg.f64 c)) b_2))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)))))) (/.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) (fma.f64 -1 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/2)) (/.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (/.f64 a (sqrt.f64 (neg.f64 (.f64 a c)))) (-.f64 (.f64 (/.f64 a (neg.f64 (.f64 a c))) b_2) (.f64 (.f64 b_2 b_2) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) 3)) -1/2))))
(+.f64 (/.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 b_2 (-.f64 (/.f64 (/.f64 a a) (neg.f64 c)) (.f64 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3) -1/2)) b_2))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)))))) (/.f64 a (sqrt.f64 (neg.f64 (.f64 c a)))))))
(+.f64 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) (fma.f64 -1 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/2)) (/.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (/.f64 a (sqrt.f64 (neg.f64 (.f64 a c)))) (-.f64 (.f64 (/.f64 a (neg.f64 (.f64 a c))) b_2) (.f64 (.f64 b_2 b_2) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) 3)) -1/2))))
(+.f64 (/.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 b_2 (-.f64 (/.f64 (/.f64 a a) (neg.f64 c)) (.f64 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3) -1/2)) b_2))))
(.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)))
(.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 2)))
(.f64 2 (.f64 (/.f64 a (neg.f64 (*.f64 a c))) b_2))
(.f64 2 (.f64 (/.f64 (/.f64 a a) (neg.f64 c)) b_2))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2))))
(fma.f64 1/2 (/.f64 a b_2) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 2))))
(fma.f64 2 (.f64 (/.f64 a (neg.f64 (.f64 a c))) b_2) (*.f64 1/2 (/.f64 a b_2)))
(fma.f64 2 (*.f64 (/.f64 (/.f64 a a) (neg.f64 c)) b_2) (/.f64 a (/.f64 b_2 1/2)))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a))) (pow.f64 b_2 3))) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) 1/8) (pow.f64 b_2 3)) (.f64 2 (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)))))
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(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 6) (/.f64 (.f64 a a) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) 1/8))) (.f64 -1/4 (+.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (/.f64 (.f64 a a) (fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) 1/8)) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 8) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) -1/8) 2)))) (.f64 1/16 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4))))))) (.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 6) a) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) 1/8)) (.f64 a a)))))))) (pow.f64 b_2 7)) (fma.f64 -1 (/.f64 (fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 6) a) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2)) 1/8)) (.f64 a a)))) (pow.f64 b_2 5)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (*.f64 a b_2))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (.f64 a (pow.f64 b_2 3))) (-.f64 (-.f64 (.f64 1/2 (/.f64 (neg.f64 (.f64 a c)) (.f64 a b_2))) (/.f64 (fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 6) a) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (/.f64 (.f64 a a) (.f64 a (.f64 (neg.f64 (.f64 a c)) 1/8)))))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 6) (/.f64 (.f64 a a) (.f64 a (.f64 (neg.f64 (.f64 a c)) 1/8)))) (.f64 -1/4 (+.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) a) (/.f64 (fma.f64 1/4 (.f64 (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4)) 1/8) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4)) (fma.f64 1/16 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 8) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 8) 1/64))) (.f64 a (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) 1/16)))) a)) (.f64 (neg.f64 (.f64 a c)) (fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 6) a) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (/.f64 (.f64 a a) (.f64 a (.f64 (neg.f64 (.f64 a c)) 1/8)))))))))) (pow.f64 b_2 7))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 a (neg.f64 c)) (.f64 a b_2)) (.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) a) (/.f64 -1/8 (pow.f64 b_2 3)))) (/.f64 (fma.f64 -1/4 (/.f64 (.f64 1/8 a) (/.f64 a (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) a))) (.f64 (/.f64 -1/32 a) (pow.f64 (.f64 a (neg.f64 c)) 3))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) (.f64 a a)) (.f64 a (neg.f64 (.f64 (.f64 a c) 1/8)))) (.f64 -1/4 (+.f64 (.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) a) (/.f64 (fma.f64 1/4 (.f64 (.f64 a (.f64 (.f64 a c) (.f64 a c))) 1/8) (fma.f64 -2 (.f64 (/.f64 a (.f64 (.f64 a c) (.f64 a c))) (.f64 (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 8) 5/64)) (.f64 a (.f64 (.f64 (.f64 a c) (.f64 a c)) 1/16)))) a)) (.f64 (.f64 a (neg.f64 c)) (fma.f64 -1/4 (/.f64 (.f64 1/8 a) (/.f64 a (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) a))) (.f64 (/.f64 -1/32 a) (pow.f64 (*.f64 a (neg.f64 c)) 3))))))) (pow.f64 b_2 7)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))
(fma.f64 -2 (/.f64 b_2 a) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (*.f64 a b_2))))
(fma.f64 -1/2 (/.f64 (neg.f64 (.f64 a c)) (.f64 a b_2)) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 -1/2 b_2) (/.f64 a (/.f64 a (neg.f64 c)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 a (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (*.f64 a b_2))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (.f64 a (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 a b_2))))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 b_2) (/.f64 a (/.f64 a (neg.f64 c)))))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a)) (.f64 1/128 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) a))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 6) (.f64 a (pow.f64 b_2 5)))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (.f64 a b_2)))))))))
(fma.f64 -4 (/.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 6)) 5/128) (.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (/.f64 (pow.f64 b_2 5) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) a) 1/8))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 6) (.f64 a (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 2) (*.f64 a b_2)))))))))
(fma.f64 -4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 6)) (/.f64 (.f64 (pow.f64 b_2 5) (.f64 a a)) 5/128)) (fma.f64 1/4 (/.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) a) (.f64 1/8 (neg.f64 (.f64 a c)))) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 4) (.f64 a (pow.f64 b_2 3))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 a c))) 6) (.f64 a (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 a b_2)))))))))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) (/.f64 (/.f64 (.f64 (pow.f64 b_2 5) (.f64 a a)) 5/128) a)) (fma.f64 1/4 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) a) 1/8) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/4 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (pow.f64 b_2 3))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (neg.f64 c)) 3) (.f64 a (pow.f64 b_2 5))) (.f64 (/.f64 -1/2 b_2) (/.f64 a (/.f64 a (neg.f64 c))))))))))

prune337.0ms (5.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	292	13	305

Error

0.1b

Counts

305 → 13

Alt Table

Status	Error	Program
✓	31.3b	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
	32.1b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	43.9b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))
	44.9b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	33.6b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
▶	31.4b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
	44.5b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
	41.8b	(/.f64 c (/.f64 b_2 -1/2))
	45.8b	(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
	31.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	33.6b	(/.f64 (fma.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) (neg.f64 b_2)) a)
	39.9b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
	44.9b	(.f64 (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) (/.f64 1 a))

Compiler

Compiled 7916 to 3078 computations (61.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
✓	0.2b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a))
	0.7b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	13.4b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series28.0ms (0.4%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a))
4.0ms	a	@	inf	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a))
3.0ms	c	@	0	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a))
2.0ms	a	@	0	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a))
2.0ms	b_2	@	inf	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`log-prod_binary64`
663×	`prod-diff_binary64`
291×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	296	32
2	3882	32

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

574×	`times-frac_binary64`
415×	`distribute-rgt-neg-out_binary64`
363×	`distribute-lft-neg-out_binary64`
349×	`associate-r_binary64`
347×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	833
1	302	780
2	937	704
3	5068	676

Stop Event

1×	node limit

Counts

72 → 88

Calls

Call 1

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

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

prune412.0ms (6.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	404	0	404
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	404	13	417

Error

0.1b

Counts

417 → 13

Alt Table

Status	Error	Program
✓	31.3b	(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (/.f64 1 a))
	32.1b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	43.9b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))
	44.9b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	33.6b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
✓	31.4b	(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
	44.5b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
	41.8b	(/.f64 c (/.f64 b_2 -1/2))
	45.8b	(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
	31.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	33.6b	(/.f64 (fma.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) (neg.f64 b_2)) a)
	39.9b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
	44.9b	(.f64 (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) (/.f64 1 a))

Compiler

Compiled 13442 to 3951 computations (70.6% saved)

regimes211.0ms (3.2%)

Accuracy

Total -53.5b remaining (-509.8%)

Threshold costs -53.5b (-509.8%)

Counts

21 → 3

Calls

Call 1

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

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

Results

58.0ms	20.3b	`a`
31.0ms	10.5b	`b_2`
85.0ms	19.9b	`c`
29.0ms	11.6b	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 348 to 148 computations (57.5% saved)

bsearch243.0ms (3.7%)

Algorithm

2×	binary-search

Calls

2 calls:

165.0ms	b_2
77.0ms	b_2

Steps

Iters	Point		Range
1.4e-58	∈ [	1.3733034392458518e-58	,	1.0323651854944567e-52	]
-2.9e+95	∈ [	-5.756735402171008e+108	,	-2.81583870960705e+95	]

Compiler

Compiled 547 to 368 computations (32.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	51
1	34	51
2	49	51
3	57	51
4	62	51
5	63	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -290000000000000013274168658063461133795610974288189847539234306901317259974753026220462666940416) (fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2))) (if (<=.f64 b_2 16210892493224267776/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))

Outputs

(if (<=.f64 b_2 -290000000000000013274168658063461133795610974288189847539234306901317259974753026220462666940416) (fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2))) (if (<=.f64 b_2 16210892493224267776/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))

(if (<=.f64 b_2 -290000000000000013274168658063461133795610974288189847539234306901317259974753026220462666940416) (fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2))) (if (<=.f64 b_2 3957737425103581/28269553036454149273332760011886696253239742350009903329945699220681916416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))

end23.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 76 to 48 computations (36.8% saved)

Details

analyze374.0ms (5.7%)

sample2.5s (38.8%)

preprocess129.0ms (2%)

simplify62.0ms (1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series25.0ms (0.4%)

rewrite107.0ms (1.6%)

simplify83.0ms (1.3%)

prune1.1s (17.6%)

localize9.0ms (0.1%)

series55.0ms (0.8%)

rewrite89.0ms (1.4%)

simplify57.0ms (0.9%)

prune244.0ms (3.8%)

localize9.0ms (0.1%)

series73.0ms (1.1%)

rewrite65.0ms (1%)

simplify60.0ms (0.9%)

prune337.0ms (5.2%)

localize12.0ms (0.2%)

series28.0ms (0.4%)

rewrite65.0ms (1%)

simplify51.0ms (0.8%)

prune412.0ms (6.3%)

regimes211.0ms (3.2%)

bsearch243.0ms (3.7%)

simplify6.0ms (0.1%)

end23.0ms (0.4%)

Profiling