Details

analyze302.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.9s (14.7%)

Results

707.0ms	5573×	body	256	valid
450.0ms	1166×	body	2048	valid
287.0ms	429×	body	4096	valid
217.0ms	737×	body	1024	valid
144.0ms	1227×	body	256	invalid
75.0ms	351×	body	512	valid
45.0ms	361×	body	256	infinite

Bogosity

preprocess134.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
685×	`div-sub_binary64`
542×	`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	1058	72
7	1773	72
8	4031	72
9	5484	72
10	6891	72
11	7212	72
12	7285	72
13	7349	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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a)))) c) a)

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
368×	`associate-/l*_binary64`
362×	`div-sub_binary64`
341×	`fma-def_binary64`
222×	`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	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	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)

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

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	21.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
	1.3b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.3b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	21.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`fma-def_binary64`
610×	`log-prod_binary64`
351×	`fma-neg_binary64`
312×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	258	55
2	3917	52

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
759×	`associate-l_binary64`
658×	`associate-/l*_binary64`
567×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1936	2254

Stop Event

1×	node limit

Counts

413 → 398

Calls

Call 1

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

eval237.0ms (1.8%)

Compiler: Compiled 9534 to 3329 computations (65.1% saved)

prune173.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	376	22	398
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	23	399

Error

4.7b

Counts

399 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.8b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	37.0b	(*.f64 (/.f64 -1/2 b_2) c)
▶	42.8b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	36.9b	(*.f64 -1/2 (/.f64 c b_2))
	43.0b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	33.8b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
▶	46.3b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	55.4b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	46.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
▶	42.4b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	47.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	35.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (neg.f64 (cbrt.f64 (.f64 a c))) (*.f64 b_2 b_2)))) a)
▶	47.4b	(/.f64 b_2 (/.f64 a -2))
	35.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	45.0b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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))))))
▶	33.7b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
	37.7b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	45.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	46.4b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 a))

Compiler

Compiled 740 to 490 computations (33.8% saved)

localize118.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))
	0.9b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
	0.1b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
✓	0.9b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
✓	11.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series55.0ms (0.4%)

Counts

4 → 38

Calls

33 calls:

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

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`prod-diff_binary64`
554×	`log-prod_binary64`
276×	`pow2_binary64`
234×	`fma-def_binary64`
200×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	225	42
2	3268	42

Stop Event

1×	node limit

Counts

4 → 318

Calls

Call 1

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

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 (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 (cbrt.f64 (pow.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 log1p.f64 (expm1.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))))))
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simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

938×	`times-frac_binary64`
677×	`associate-/l*_binary64`
618×	`fma-def_binary64`
493×	`associate-/r*_binary64`
306×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1592
1	480	1297
2	1828	1205
3	7184	1205

Stop Event

1×	node limit

Counts

356 → 385

Calls

Call 1

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

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

localize6.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	3.2b	(/.f64 c (/.f64 b_2 a))
✓	3.2b	(/.f64 c (/.f64 b_2 a))
✓	9.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
483×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
269×	`pow2_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	200	20
2	2970	20

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
3×	`associate-/r/_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	504
1	15	504
2	21	504
3	28	504
4	30	504

Stop Event

1×

saturated

Counts

186 → 118

Calls

Call 1

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

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

localize81.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.3b	(+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
✓	0.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.3b	(+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
✓	31.3b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))

Compiler

Compiled 69 to 22 computations (68.1% saved)

series32.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	b_2	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	c	@	-inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`fma-def_binary64`
578×	`log-prod_binary64`
318×	`pow2_binary64`
310×	`fma-neg_binary64`
216×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	277	40
2	3885	38

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
(+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

Outputs

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

394×	`fma-def_binary64`
379×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
333×	`distribute-rgt-out_binary64`
327×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	3458
1	1110	3121
2	4542	2814

Stop Event

1×	node limit

Counts

196 → 230

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.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 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (.f64 -3/2 (.f64 c (*.f64 a b_2))))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 9/8 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/2 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -3/2 (.f64 c (.f64 a b_2))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) 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 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 1/2 (/.f64 (*.f64 c a) b_2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.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)))))
(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 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))) (-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) b_2))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (.f64 c a)))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) 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 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
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(+.f64 (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (fma.f64 -1 (/.f64 (fma.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 17/16)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) 3/8) (/.f64 (.f64 c c) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))))))
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) c)) (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -1/16) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))))))
(+.f64 (fma.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2) (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (/.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2))))) (.f64 (/.f64 (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) c) (.f64 (/.f64 (.f64 b_2 b_2) a) -3/2))))

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	0.2b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	0.1b	(/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
✓	0.2b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
✓	0.3b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	11.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series96.0ms (0.7%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
30.0ms	a	@	-inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
12.0ms	c	@	inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
8.0ms	c	@	-inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
7.0ms	a	@	0	(/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
7.0ms	a	@	inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
590×	`log-prod_binary64`
307×	`pow2_binary64`
223×	`fma-def_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	262	42
2	3559	42

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs

(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

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

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

Outputs

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
371×	`associate-r_binary64`
282×	`associate-l_binary64`
274×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	2499
1	894	1913
2	4464	1727

Stop Event

1×	node limit

Counts

175 → 203

Calls

Call 1

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

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

eval574.0ms (4.4%)

Compiler: Compiled 31722 to 13263 computations (58.2% saved)

prune240.0ms (1.8%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1125	25	1150
Fresh	7	10	17
Picked	0	1	1
Done	1	4	5
Total	1133	40	1173

Error

4.7b

Counts

1173 → 40

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
	41.0b	(.f64 (/.f64 1 a) (.f64 (/.f64 c b_2) (*.f64 a -1/2)))
	55.7b	(/.f64 (*.f64 1/2 c) b_2)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	62.3b	(pow.f64 (/.f64 a (*.f64 2 b_2)) -1)
	37.7b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	62.3b	(*.f64 2 (/.f64 b_2 a))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.9b	(/.f64 (.f64 -1/2 (expm1.f64 (log1p.f64 (.f64 c (/.f64 a b_2))))) a)
	37.0b	(*.f64 (/.f64 -1/2 b_2) c)
	43.0b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	39.4b	(fma.f64 -1/8 (/.f64 (*.f64 c a) (/.f64 (pow.f64 b_2 3) c)) (/.f64 -1/2 (/.f64 b_2 c)))
▶	33.8b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	37.5b	(/.f64 -1/2 (/.f64 b_2 c))
	49.9b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))))
▶	36.9b	(*.f64 -1/2 (/.f64 c b_2))
	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
✓	46.3b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	55.8b	(pow.f64 (/.f64 a (.f64 (/.f64 (.f64 1/2 c) b_2) a)) -1)
	56.3b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) b_2) a)
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
	55.7b	(pow.f64 (*.f64 2 (/.f64 b_2 c)) -1)
	49.7b	(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))))
	45.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
▶	47.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	35.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (neg.f64 (cbrt.f64 (.f64 a c))) (*.f64 b_2 b_2)))) a)
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)
	52.8b	(/.f64 (.f64 -1/2 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 c (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))) a)
	43.0b	(pow.f64 (.f64 (/.f64 b_2 (.f64 c a)) (/.f64 a -1/2)) -1)
	48.2b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	47.4b	(/.f64 b_2 (/.f64 a -2))
	46.4b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 a))
	42.8b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	52.9b	(pow.f64 (pow.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))) 3) 1/3)
	35.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
▶	38.2b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3))) a)
✓	42.8b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	46.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
▶	49.6b	(exp.f64 (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))))

Compiler

Compiled 1150 to 786 computations (31.7% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))
	0.9b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	0.2b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.9b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	11.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series22.0ms (0.2%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
2.0ms	a	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
2.0ms	c	@	inf	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
1.0ms	a	@	inf	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
1.0ms	c	@	-inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
548×	`prod-diff_binary64`
293×	`pow2_binary64`
239×	`fma-def_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	277	27
2	3803	27

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
640×	`associate-/l*_binary64`
457×	`associate-/r*_binary64`
456×	`fma-def_binary64`
295×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1092
1	412	876
2	1637	804
3	6581	784

Stop Event

1×	node limit

Counts

180 → 204

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series11.0ms (0.1%)

Counts

3 → 9

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	b_2	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	a	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	3422	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (fma.f64 (pow.f64 (/.f64 c b_2) 2) 1/4 (fma.f64 (pow.f64 (/.f64 a b_2) -2) 4 (neg.f64 (*.f64 (*.f64 (/.f64 -2 (/.f64 a b_2)) 1/2) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) (neg.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 b_2) b_2 (*.f64 a (*.f64 1/2 c))) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 c) a (*.f64 b_2 (*.f64 -2 b_2))) (*.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))) (sqrt.f64 (exp.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))) (pow.f64 (exp.f64 -2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))) (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))) (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (*.f64 (/.f64 1 a) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b_2 a) -2 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (/.f64 a b_2)) 1 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b_2) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b_2) 1/2 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b_2)) 1 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2)) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 b_2) (/.f64 1 a) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2))) (cbrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2))) (cbrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	16	63
2	24	63
3	32	63
4	34	63

Stop Event

1×

saturated

Counts

133 → 127

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.2b	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))
	9.3b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	3.2b	(*.f64 c (/.f64 a b_2))
	2.2b	(exp.f64 (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))))
✓	2.2b	(exp.f64 (log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))))
✓	3.2b	(*.f64 c (/.f64 a b_2))
✓	9.3b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
✓	12.2b	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series153.0ms (1.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
41.0ms	c	@	-inf	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))
35.0ms	a	@	0	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))
22.0ms	b_2	@	0	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))
18.0ms	b_2	@	-inf	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))
17.0ms	c	@	0	(log.f64 (.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2))))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
430×	`exp-prod_binary64`
391×	`pow-prod-down_binary64`
279×	`pow2_binary64`
241×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	221	48
2	2835	48

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

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

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

simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-neg_binary64`
376×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
216×	`distribute-rgt-in_binary64`
164×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	1124
1	76	1120
2	127	1120
3	308	1120
4	769	1120
5	1458	1120
6	2520	1120
7	3243	1120
8	3478	1120
9	3505	1120
10	3505	1120

Stop Event

1×

saturated

Counts

416 → 227

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.4b	(.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3)
	0.3b	(.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3))) a)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	5.4b	(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3))
✓	22.2b	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	24.9b	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3)))

Compiler

Compiled 100 to 34 computations (66% saved)

series16.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
0.0ms	c	@	-inf	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3)))
0.0ms	b_2	@	0	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1/3)))
0.0ms	b_2	@	0	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`log-prod_binary64`
589×	`fma-def_binary64`
302×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	331	45
2	4440	37

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs

(+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1/3)))

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

(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1/3))

Outputs

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-r_binary64`
781×	`associate-/r*_binary64`
739×	`associate-/l*_binary64`
676×	`associate-l_binary64`
332×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2586
1	694	2486
2	2372	2420

Stop Event

1×	node limit

Counts

229 → 251

Calls

Call 1

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

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

eval459.0ms (3.5%)

Compiler: Compiled 25262 to 11270 computations (55.4% saved)

prune245.0ms (1.9%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1068	18	1086
Fresh	8	22	30
Picked	1	0	1
Done	1	8	9
Total	1078	48	1126

Error

0.8b

Counts

1126 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	48.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
	53.2b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 -1/2 a) c))) (/.f64 a b_2))
	47.7b	(fma.f64 (.f64 -2 b_2) (/.f64 1 a) (.f64 1/2 (/.f64 c b_2)))
✓	33.7b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
	41.0b	(.f64 (/.f64 1 a) (.f64 (/.f64 c b_2) (*.f64 a -1/2)))
	46.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 3) a)
	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	55.7b	(/.f64 (*.f64 1/2 c) b_2)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	62.3b	(*.f64 2 (/.f64 b_2 a))
	62.3b	(pow.f64 (/.f64 a (*.f64 2 b_2)) -1)
	53.4b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 1/3))) a)
	56.1b	(exp.f64 (-.f64 (log.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) (log.f64 a)))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.9b	(/.f64 (.f64 -1/2 (expm1.f64 (log1p.f64 (.f64 c (/.f64 a b_2))))) a)
	54.8b	(exp.f64 (log.f64 (.f64 (/.f64 -1/2 a) (exp.f64 (log.f64 (.f64 c (/.f64 a b_2)))))))
	37.0b	(*.f64 (/.f64 -1/2 b_2) c)
	45.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
	48.2b	(.f64 (-.f64 b_2 (-.f64 (/.f64 (.f64 a (*.f64 c 1/2)) b_2) b_2)) (/.f64 1 (neg.f64 a)))
✓	42.8b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	43.0b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	39.4b	(fma.f64 -1/8 (/.f64 (*.f64 c a) (/.f64 (pow.f64 b_2 3) c)) (/.f64 -1/2 (/.f64 b_2 c)))
✓	33.8b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
▶	37.5b	(/.f64 -1/2 (/.f64 b_2 c))
	47.9b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3) (*.f64 1/2 (/.f64 c b_2)))
✓	36.9b	(*.f64 -1/2 (/.f64 c b_2))
▶	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
✓	46.3b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	55.8b	(pow.f64 (/.f64 a (.f64 (/.f64 (.f64 1/2 c) b_2) a)) -1)
▶	55.7b	(pow.f64 (*.f64 2 (/.f64 b_2 c)) -1)
	41.5b	(.f64 (.f64 (*.f64 (/.f64 -1/2 a) c) a) (/.f64 1 b_2))
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
▶	52.4b	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
	41.1b	(.f64 c (.f64 (/.f64 a b_2) (/.f64 -1/2 a)))
✓	47.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	35.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (neg.f64 (cbrt.f64 (.f64 a c))) (*.f64 b_2 b_2)))) a)
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)
	52.8b	(/.f64 (.f64 -1/2 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 c (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))) a)
	43.0b	(pow.f64 (.f64 (/.f64 b_2 (.f64 c a)) (/.f64 a -1/2)) -1)
▶	48.2b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	47.4b	(/.f64 b_2 (/.f64 a -2))
	46.3b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 c (neg.f64 a)))) 1/3))) a)
	46.4b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 a))
	53.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 1/3))) a)
	49.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) 1/3))) a)
	35.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	53.7b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 b_2 b_2))) 1/3))) a)
	52.4b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)

Compiler

Compiled 1333 to 948 computations (28.9% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	21.4b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
	1.3b	(+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
	0.6b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
✓	0.6b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
✓	1.3b	(+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
✓	21.4b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
✓	53.1b	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 105 to 13 computations (87.6% saved)

series36.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
14.0ms	b_2	@	0	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))

rewrite211.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`fma-def_binary64`
592×	`log-prod_binary64`
348×	`fma-neg_binary64`
322×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	284	57
2	4119	57

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
796×	`distribute-rgt-in_binary64`
775×	`associate-/l*_binary64`
751×	`distribute-lft-in_binary64`
638×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1967
1	585	1596
2	2151	1528

Stop Event

1×	node limit

Counts

307 → 285

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.7b	(/.f64 -1/2 (/.f64 b_2 c))
✓	0.7b	(/.f64 -1/2 (/.f64 b_2 c))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
651×	`add-log-exp_binary64`
650×	`log1p-expm1-u_binary64`
650×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1769	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (*.f64 2 (/.f64 b_2 c)) -1)
	0.0b	(*.f64 2 (/.f64 b_2 c))
✓	0.0b	(*.f64 2 (/.f64 b_2 c))
✓	0.7b	(pow.f64 (*.f64 2 (/.f64 b_2 c)) -1)

Compiler

Compiled 22 to 12 computations (45.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
767×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	14
2	2103	14

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

68 → 44

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	15.3b	(cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))
	3.5b	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	3.5b	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
✓	15.3b	(cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))

Compiler

Compiled 50 to 21 computations (58% saved)

series159.0ms (1.2%)

Counts

3 → 38

Calls

21 calls:

Time	Variable		Point	Expression
71.0ms	c	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
24.0ms	c	@	inf	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
21.0ms	a	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
14.0ms	c	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
13.0ms	a	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 3/2)

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
286×	`pow2_binary64`
277×	`fma-def_binary64`
235×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	267	25
2	3805	25

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))
(pow.f64 (*.f64 c (neg.f64 a)) 3/2)
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/6) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 (*.f64 c a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 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 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c a)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 c a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c a) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c a) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c a) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c a) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c a) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 c a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 3/2) (pow.f64 a 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 3/2) (pow.f64 c 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 3/4) (pow.f64 (*.f64 c a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (*.f64 c a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (cbrt.f64 (*.f64 c a))) (pow.f64 (*.f64 c a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (pow.f64 (*.f64 c a) 1/4)) (pow.f64 (*.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c a) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c a))) 1))))))

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-/r*_binary64`
571×	`fma-def_binary64`
434×	`fma-neg_binary64`
369×	`div-sub_binary64`
316×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	548
1	131	548
2	319	476
3	785	404
4	1909	404
5	4690	404

Stop Event

1×	node limit

Counts

134 → 108

Calls

Call 1

Inputs
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
	0.2b	(+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2)))
✓	0.2b	(+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2)))
✓	1.3b	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))

Compiler

Compiled 40 to 30 computations (25% saved)

series128.0ms (1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	b_2	@	-inf	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
26.0ms	c	@	0	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
24.0ms	b_2	@	0	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
14.0ms	c	@	inf	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))
13.0ms	c	@	-inf	(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 (/.f64 1 b_2))))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`prod-diff_binary64`
481×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
270×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	224	16
2	2749	16

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
529×	`fma-def_binary64`
434×	`exp-sum_binary64`
360×	`exp-diff_binary64`
353×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	640
1	90	420
2	224	360
3	629	360
4	1702	360
5	4404	360

Stop Event

1×	node limit

Counts

161 → 133

Calls

Call 1

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

Outputs
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2)))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2)))))
(.f64 (.f64 c -1/2) (/.f64 1 b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))
(+.f64 (log.f64 (*.f64 -1/2 c)) (+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 -1)))
(+.f64 (log.f64 c) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 b_2))))
(-.f64 (log.f64 (*.f64 c -1/2)) (log.f64 b_2))

eval221.0ms (1.7%)

Compiler: Compiled 11369 to 5864 computations (48.4% saved)

prune132.0ms (1%)

Pruning

53 alts after pruning (42 fresh and 11 done)

	Pruned	Kept	Total
New	582	14	596
Fresh	7	28	35
Picked	1	0	1
Done	1	11	12
Total	591	53	644

Error

0.8b

Counts

644 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	52.4b	(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)
	47.7b	(fma.f64 (.f64 -2 b_2) (/.f64 1 a) (.f64 1/2 (/.f64 c b_2)))
✓	33.7b	(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) a)
	41.0b	(.f64 (/.f64 1 a) (.f64 (/.f64 c b_2) (*.f64 a -1/2)))
	55.7b	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 b_2) c)) 3) -1)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	46.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 3) a)
	62.3b	(pow.f64 (/.f64 a (*.f64 2 b_2)) -1)
	60.3b	(exp.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 -1/2 c))) (sqrt.f64 (log.f64 (.f64 -1/2 c))) (neg.f64 (log.f64 b_2))))
	62.3b	(*.f64 2 (/.f64 b_2 a))
	53.4b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 1/3))) a)
	56.1b	(exp.f64 (-.f64 (log.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) (log.f64 a)))
	52.4b	(exp.f64 (-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b_2)))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.9b	(/.f64 (.f64 -1/2 (expm1.f64 (log1p.f64 (.f64 c (/.f64 a b_2))))) a)
	54.8b	(exp.f64 (log.f64 (.f64 (/.f64 -1/2 a) (exp.f64 (log.f64 (.f64 c (/.f64 a b_2)))))))
	45.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
	48.2b	(.f64 (-.f64 b_2 (-.f64 (/.f64 (.f64 a (*.f64 c 1/2)) b_2) b_2)) (/.f64 1 (neg.f64 a)))
✓	42.8b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	39.4b	(fma.f64 -1/8 (/.f64 (*.f64 c a) (/.f64 (pow.f64 b_2 3) c)) (/.f64 -1/2 (/.f64 b_2 c)))
✓	33.8b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	48.4b	(exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))
	48.5b	(exp.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))))
	44.9b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	53.7b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 b_2 b_2))) 1/3))) a)
✓	37.5b	(/.f64 -1/2 (/.f64 b_2 c))
	51.1b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c a) 2) 1/4)) a)
	47.9b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3) (*.f64 1/2 (/.f64 c b_2)))
✓	36.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
✓	46.3b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	55.8b	(pow.f64 (/.f64 a (.f64 (/.f64 (.f64 1/2 c) b_2) a)) -1)
	59.6b	(/.f64 (neg.f64 b_2) a)
	41.5b	(.f64 (.f64 (*.f64 (/.f64 -1/2 a) c) a) (/.f64 1 b_2))
	43.0b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
	41.1b	(.f64 c (.f64 (/.f64 a b_2) (/.f64 -1/2 a)))
✓	47.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	35.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (neg.f64 (cbrt.f64 (.f64 a c))) (*.f64 b_2 b_2)))) a)
	56.3b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)
	52.8b	(/.f64 (.f64 -1/2 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 c (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))) a)
	43.0b	(pow.f64 (.f64 (/.f64 b_2 (.f64 c a)) (/.f64 a -1/2)) -1)
✓	48.2b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	47.4b	(/.f64 b_2 (/.f64 a -2))
	55.7b	(*.f64 1/2 (/.f64 c b_2))
	46.4b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 a))
	52.4b	(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1 b_2)))))
	46.3b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 c (neg.f64 a)))) 1/3))) a)
	55.7b	(/.f64 1/2 (/.f64 b_2 c))
	53.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 1/3))) a)
	49.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 3/2 (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) 1/3))) a)
	35.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	37.0b	(*.f64 c (/.f64 -1/2 b_2))

Compiler

Compiled 783 to 563 computations (28.1% saved)

regimes2.2s (16.8%)

Counts

80 → 3

Calls

Call 1

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

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

Calls

4 calls:

883.0ms	c
802.0ms	a
407.0ms	b_2
98.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.6b	11	`a`
8.2b	3	`b_2`
22.5b	12	`c`
11.0b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1007 to 498 computations (50.5% saved)

bsearch150.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	2.7136461841160265e-117	3.048774195573329e-98
67.0ms	-1.6425937394093643e+100	-2.2619504628058917e+93

Compiler

Compiled 516 to 357 computations (30.8% saved)

regimes256.0ms (1.9%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	c
84.0ms	a
72.0ms	b_2

Results

Error	Segments	Branch
33.8b	5	`a`
10.9b	3	`b_2`
32.1b	6	`c`

Compiler

Compiled 241 to 135 computations (44% saved)

bsearch422.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
186.0ms	2.7136461841160265e-117	3.048774195573329e-98
235.0ms	-1.2773767041079875e-46	-8.098348803197471e-52

Compiler

Compiled 494 to 355 computations (28.1% saved)

regimes246.0ms (1.9%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

198.0ms	a
26.0ms	b_2
15.0ms	c

Results

Error	Segments	Branch
34.9b	2	`a`
21.8b	2	`b_2`
36.9b	1	`c`

Compiler

Compiled 188 to 106 computations (43.6% saved)

bsearch74.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
74.0ms	6.006444371137716e-264	1.5764698924248654e-262

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes60.0ms (0.5%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	a
12.0ms	b_2
8.0ms	c

Results

Error	Segments	Branch
36.9b	1	`a`
34.0b	2	`b_2`
36.9b	1	`c`

Compiler

Compiled 69 to 41 computations (40.6% saved)

bsearch47.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	6.006444371137716e-264	1.5764698924248654e-262

Compiler

Compiled 141 to 106 computations (24.8% saved)

regimes57.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	b_2
6.0ms	c
5.0ms	a

Results

Error	Segments	Branch
37.0b	1	`a`
34.1b	2	`b_2`
37.0b	1	`c`

Compiler

Compiled 54 to 34 computations (37% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	6.006444371137716e-264	1.5764698924248654e-262

Compiler

Compiled 141 to 106 computations (24.8% saved)

regimes51.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 b_2) a)
(/.f64 1/2 (/.f64 b_2 c))

Calls

3 calls:

39.0ms	c
7.0ms	b_2
4.0ms	a

Results

Error	Segments	Branch
55.7b	1	`a`
52.9b	2	`b_2`
55.7b	1	`c`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch273.0ms (2.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
273.0ms	5.215045130772785e-10	0.0010973131174684683

Compiler

Compiled 175 to 132 computations (24.6% saved)

regimes39.0ms (0.3%)

Accuracy

Total -9.5b remaining (-18%)

Threshold costs -9.5b (-18%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b_2
8.0ms	c
8.0ms	a

Results

Error	Segments	Branch
55.7b	1	`a`
52.9b	2	`b_2`
55.7b	1	`c`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch311.0ms (2.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
311.0ms	5.215045130772785e-10	0.0010973131174684683

Compiler

Compiled 175 to 132 computations (24.6% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	197
1	74	195
2	88	195
3	96	195
4	99	195

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -2300000000000000157663827660282225680353167151733414343756072048293350689375058559121609457664) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -5526789066765881/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 b_2 (/.f64 a -2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 4888387179533031/4611686018427387904) (/.f64 (neg.f64 b_2) a) (/.f64 1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 4888387179533031/4611686018427387904) (/.f64 (neg.f64 b_2) a) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -2300000000000000157663827660282225680353167151733414343756072048293350689375058559121609457664) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -2300000000000000157663827660282225680353167151733414343756072048293350689375058559121609457664) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -5526789066765881/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -5526789066765881/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2)) (if (<=.f64 b_2 248431204593225/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 b_2 (/.f64 a -2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 343453319093669/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 4888387179533031/4611686018427387904) (/.f64 (neg.f64 b_2) a) (/.f64 1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 4888387179533031/4611686018427387904) (/.f64 (neg.f64 b_2) a) (*.f64 1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4888387179533031/4611686018427387904) (/.f64 (neg.f64 b_2) a) (*.f64 (/.f64 c b_2) 1/2))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 157 to 105 computations (33.1% saved)

soundness221.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

985×	`times-frac_binary64`
985×	`times-frac_binary64`
814×	`fma-def_binary64`
814×	`fma-def_binary64`
759×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1936	2254
0	178	2424
1	561	2350
2	1936	2254

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 44 to 32 computations (27.3% saved)

end338.0ms (2.6%)

Compiler: Compiled 136 to 72 computations (47.1% saved)