Details

analyze512.0ms (3.4%)

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)

sample3.7s (24%)

Results

1.3s	5536×	body	256	valid
814.0ms	1174×	body	2048	valid
573.0ms	737×	body	1024	valid
398.0ms	431×	body	4096	valid
338.0ms	1250×	body	256	invalid
130.0ms	378×	body	512	valid
74.0ms	365×	body	256	infinite

Bogosity

preprocess158.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1000×	`fma-def_binary64`
869×	`fma-neg_binary64`
582×	`div-sub_binary64`
515×	`associate-/l*_binary64`
440×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	82	80
2	167	80
3	390	80
4	694	80
5	1256	80
6	3283	80
7	5846	80
8	6771	80
9	7070	80
10	7143	80
11	7207	80
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify138.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
310×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
260×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	27	20
2	57	20
3	126	20
4	216	20
5	394	20
6	664	20
7	1011	20
8	1224	20
9	1611	20
10	3156	20
11	5868	20
12	5966	20
13	5974	20
14	5982	20
15	5982	20
16	6040	20
17	6076	20
18	6106	20
19	6118	20

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(/.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)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.3b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	22.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series47.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite289.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
645×	`log-prod_binary64`
352×	`fma-neg_binary64`
221×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4082	52

Stop Event

1×	node limit

Counts

4 → 381

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
583×	`associate-r_binary64`
563×	`fma-neg_binary64`
550×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1570	2070
3	7232	2034

Stop Event

1×	node limit

Counts

477 → 456

Calls

Call 1

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

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

eval160.0ms (1%)

Compiler: Compiled 11079 to 3311 computations (70.1% saved)

prune167.0ms (1.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	432	24	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	432	25	457

Error

6.4b

Counts

457 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
▶	55.0b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	46.9b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
	46.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	46.2b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
▶	42.3b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
▶	30.9b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
▶	45.5b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	57.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
	46.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	43.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	44.5b	(/.f64 (*.f64 b_2 -2) a)
	57.4b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	44.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	33.2b	(/.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)
	46.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (/.f64 1 a)))
	34.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	46.2b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	34.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
	32.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
▶	42.0b	(*.f64 -1/2 (/.f64 c b_2))
	46.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)))
✓	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 802 to 530 computations (33.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.2b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	15.8b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series67.0ms (0.4%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
15.0ms	a	@	-inf	(sqrt.f64 (*.f64 a (neg.f64 c)))
5.0ms	c	@	-inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms	c	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms	c	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms	a	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`prod-diff_binary64`
575×	`log-prod_binary64`
290×	`pow2_binary64`
230×	`fma-def_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	276	42
2	3792	42

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

937×	`times-frac_binary64`
672×	`associate-/l*_binary64`
629×	`fma-def_binary64`
495×	`associate-/r*_binary64`
315×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1621
1	488	1319
2	1867	1225
3	7279	1225

Stop Event

1×	node limit

Counts

197 → 223

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series13.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	b_2	@	inf	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	b_2	@	0	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b_2))

rewrite44.0ms (0.3%)

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 c a) b_2))
✓	3.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	5.2b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 50 to 22 computations (56% saved)

series17.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
355×	`pow2_binary64`
311×	`fma-def_binary64`
249×	`pow1/3_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	267	34
2	3798	34

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

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

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	441
1	19	441
2	30	441
3	38	441
4	42	441
5	44	441

Stop Event

1×

saturated

Counts

153 → 123

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.3b	(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
✓	34.6b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))

Compiler

Compiled 69 to 22 computations (68.1% saved)

series30.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	c	@	-inf	(cbrt.f64 (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	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	a	@	-inf	(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)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`fma-def_binary64`
586×	`log-prod_binary64`
321×	`pow2_binary64`
288×	`fma-neg_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	40
2	3887	38

Stop Event

1×	node limit

Counts

3 → 167

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))))))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`associate-*l/_binary64`
377×	`fma-def_binary64`
352×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
327×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3320
1	1050	2990
2	4301	2709

Stop Event

1×	node limit

Counts

243 → 276

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	1.0b	(log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
✓	1.5b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	15.8b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series58.0ms (0.4%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	(log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
4.0ms	c	@	-inf	(log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
4.0ms	a	@	inf	(log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
4.0ms	c	@	-inf	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
3.0ms	a	@	-inf	(log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite155.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`prod-diff_binary64`
592×	`log-prod_binary64`
296×	`pow2_binary64`
244×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	250	44
2	3465	44

Stop Event

1×	node limit

Counts

3 → 359

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-/l*_binary64`
680×	`associate-/r*_binary64`
369×	`associate-*l/_binary64`
302×	`associate-*r/_binary64`
236×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	1940
1	732	1519
2	3026	1391

Stop Event

1×	node limit

Counts

395 → 431

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(.f64 -1/2 (/.f64 (.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 -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 1/8 (/.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 (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 -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 2 (/.f64 b_2 a)) (+.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 2 (/.f64 b_2 a)) (+.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))))))
(log.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)))) (log.f64 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (log.f64 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)))) (+.f64 (.f64 1/120 (.f64 (+.f64 (.f64 60 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -30 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -15 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 -24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (log.f64 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))
(+.f64 (log.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (/.f64 1 b_2)))
(+.f64 (log.f64 (/.f64 1 b_2)) (+.f64 (log.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 -1/4 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2)))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (log.f64 (/.f64 1 b_2)) (+.f64 (log.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (/.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 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (+.f64 (log.f64 (/.f64 1 b_2)) (+.f64 (log.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2)))))))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (.f64 -1 (log.f64 (/.f64 -1 b_2)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4)))))))
(.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)))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (/.f64 b_2 a))
(-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 b_2 a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 -1/2) (/.f64 (sqrt.f64 -1) b_2))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
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(fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 4) (.f64 (.f64 c c) 9/4))) (fma.f64 1/720 (/.f64 (fma.f64 (.f64 (pow.f64 a 3) (neg.f64 (pow.f64 c 3))) 75/4 (.f64 (/.f64 720 a) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) c))) (pow.f64 b_2 6)) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) (log.f64 (.f64 c 1/2))) (log.f64 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2))))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (.f64 -1 (log.f64 (/.f64 -1 b_2)))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2)))))
(-.f64 (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2)))
(-.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (log.f64 (/.f64 -2 a)) (fma.f64 -1 (log.f64 (/.f64 -1 b_2)) (.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) -9/4) (pow.f64 b_2 4))))))
(+.f64 (-.f64 (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))) (.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 4) -9/4))))
(+.f64 (-.f64 (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))) (.f64 1/24 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 4) -9/4) (.f64 a a)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (log.f64 (/.f64 -2 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4)))))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (log.f64 (/.f64 -2 a)) (fma.f64 -1 (log.f64 (/.f64 -1 b_2)) (fma.f64 1/720 (/.f64 (fma.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) 105/4)) (pow.f64 b_2 6)) (.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -9/4) (pow.f64 b_2 4)))))))
(+.f64 (-.f64 (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))) (fma.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (.f64 c c))) (/.f64 (pow.f64 b_2 4) -9/4)) (.f64 1/720 (/.f64 (.f64 (.f64 -1 (.f64 (pow.f64 a 3) (pow.f64 c 3))) 75/2) (pow.f64 b_2 6)))))
(+.f64 (-.f64 (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) 1/4 (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))) (fma.f64 1/24 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 4) -9/4) (.f64 a a))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 a 3) (neg.f64 (pow.f64 c 3))) (/.f64 (pow.f64 b_2 6) 75/2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (.f64 c a))))
(.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (.f64 c a)))
(+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 b_2 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))))
(-.f64 b_2 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 b_2 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (.f64 c a)))) b_2) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) b_2) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 b_2 (fma.f64 1/8 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))))
(+.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (.f64 c a)))) b_2) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))) (.f64 1/8 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) 1/8) (.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (.f64 c a)))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) 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 c 1/2) 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 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 c 1/2) a) b_2))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.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 (.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 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (/.f64 (.f64 (.f64 c 1/2) a) b_2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (neg.f64 (pow.f64 a 3))) (*.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 (.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 -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)) (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 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (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 c 1/2) a) b_2))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (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 (pow.f64 c 3) (pow.f64 b_2 5)) (neg.f64 (pow.f64 a 3))) (.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 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 b_2 2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))
(fma.f64 b_2 2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.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 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 c -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 a a)) (/.f64 (.f64 c -1/2) (/.f64 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 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 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 a (.f64 a 1))) (/.f64 (.f64 (.f64 c -1/2) 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 c -1/2) (/.f64 b_2 a)))))

eval747.0ms (4.9%)

Compiler: Compiled 37161 to 14272 computations (61.6% saved)

prune315.0ms (2.1%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1258	30	1288
Fresh	9	10	19
Picked	1	0	1
Done	3	2	5
Total	1271	42	1313

Error

6.4b

Counts

1313 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	63.6b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))
	61.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
	42.3b	(/.f64 -1/2 (/.f64 b_2 c))
	61.7b	(/.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)
	57.3b	(.f64 (+.f64 b_2 (-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) b_2)) (/.f64 1 (neg.f64 a)))
	57.3b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	63.4b	(exp.f64 (-.f64 (log.f64 (*.f64 c 1/2)) (log.f64 b_2)))
	62.3b	(*.f64 (/.f64 2 a) b_2)
	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	58.2b	(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))
	63.0b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 2) a)))
	62.3b	(*.f64 2 (/.f64 b_2 a))
	45.5b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 1/2 (/.f64 b_2 (.f64 c a)))) a)
	44.7b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (*.f64 (/.f64 c b_2) a))) a)
	46.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	44.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (*.f64 (/.f64 c 1) (/.f64 a b_2)))) a)
	42.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	46.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)))
	44.1b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
	44.6b	(*.f64 b_2 (/.f64 -2 a))
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
✓	30.9b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
	50.9b	(.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))
▶	46.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	57.6b	(/.f64 1/2 (/.f64 b_2 c))
	54.8b	(exp.f64 (log.f64 (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 c) a) b_2)) a)))
	43.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	44.5b	(/.f64 (*.f64 b_2 -2) a)
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
▶	44.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	42.3b	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
✓	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	57.7b	(*.f64 c (/.f64 1/2 b_2))
	46.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (/.f64 1 a)))
	55.5b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (*.f64 1/2 c) a) b_2)) (sqrt.f64 a)))
	34.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
▶	57.7b	(*.f64 1/2 (/.f64 c b_2))
	46.2b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	42.0b	(/.f64 (*.f64 -1/2 c) b_2)
▶	32.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))

Compiler

Compiled 1237 to 854 computations (31% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	2.6b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	15.8b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 62 to 13 computations (79% saved)

series28.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	c	@	inf	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms	a	@	-inf	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms	c	@	-inf	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
2.0ms	a	@	inf	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
1.0ms	a	@	inf	(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)

rewrite132.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
468×	`prod-diff_binary64`
296×	`pow2_binary64`
260×	`pow-unpow_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	271	31
2	3564	31

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-r_binary64`
612×	`associate-l_binary64`
532×	`fma-neg_binary64`
494×	`times-frac_binary64`
445×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1075
1	385	891
2	1379	827
3	6855	825

Stop Event

1×	node limit

Counts

255 → 275

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite46.0ms (0.3%)

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	1609	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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series16.0ms (0.1%)

Counts

2 → 9

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(*.f64 -2 (/.f64 b_2 a))
1.0ms	a	@	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)))
1.0ms	b_2	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

rewrite104.0ms (0.7%)

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	21
1	246	21
2	3422	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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 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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))))))

simplify16.0ms (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

106 → 100

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))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	0.3b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	15.8b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series13.0ms (0.1%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
2.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
2.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	a	@	0	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
562×	`prod-diff_binary64`
293×	`pow2_binary64`
227×	`fma-def_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	254	15
2	3386	15

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-r_binary64`
541×	`associate-l_binary64`
442×	`times-frac_binary64`
411×	`neg-mul-1_binary64`
322×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	548
1	278	439
2	1059	401
3	5611	389
4	7302	389

Stop Event

1×	node limit

Counts

63 → 75

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
✓	0.3b	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
✓	0.5b	(pow.f64 (cbrt.f64 b_2) 2)
✓	0.6b	(cbrt.f64 b_2)

Compiler

Compiled 35 to 21 computations (40% saved)

series56.0ms (0.4%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	b_2	@	-inf	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
13.0ms	c	@	0	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
1.0ms	b_2	@	-inf	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
1.0ms	b_2	@	-inf	(pow.f64 (cbrt.f64 b_2) 2)
1.0ms	c	@	inf	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
411×	`exp-prod_binary64`
291×	`pow-prod-down_binary64`
260×	`pow2_binary64`
183×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	217	28
2	2854	28

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
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(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))) (/.f64 1 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (/.f64 (sqrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (/.f64 1 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) (sqrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c 1/2) (pow.f64 (cbrt.f64 b_2) -2)) (/.f64 1 (neg.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 b_2)) (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (cbrt.f64 b_2)) (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (cbrt.f64 b_2)) (/.f64 -1/2 (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (.f64 c c))) (cbrt.f64 b_2)) (/.f64 (cbrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (/.f64 (pow.f64 (cbrt.f64 b_2) -2) (cbrt.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 c) 1) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 4)) 1) (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 1) (/.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) -2) (/.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))) (cbrt.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (/.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (cbrt.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 c) (pow.f64 b_2 1/6)) (pow.f64 (cbrt.f64 b_2) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 -1/6) (/.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))) (pow.f64 b_2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 4)) (pow.f64 b_2 1/6)) (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))) (pow.f64 b_2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 -1/2 (/.f64 b_2 c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 6) b_2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 -1/2 c)) (cbrt.f64 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (.f64 -1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 -1/2 (/.f64 b_2 c))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))))) (sqrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))) (neg.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 b_2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 6) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))) 1) 1))))))

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

717×	`associate-*l/_binary64`
514×	`associate-/r/_binary64`
480×	`associate-*r/_binary64`
473×	`sqr-pow_binary64`
450×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	31	348
2	59	348
3	127	348
4	332	348
5	1086	348
6	2139	348
7	4098	348
8	4985	348
9	5207	348
10	5484	348
11	5889	348
12	6460	348
13	7745	348

Stop Event

1×	node limit

Counts

216 → 184

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 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 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 c (.f64 -1/2 (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))

eval351.0ms (2.3%)

Compiler: Compiled 25505 to 9641 computations (62.2% saved)

prune295.0ms (1.9%)

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	959	13	972
Fresh	6	29	35
Picked	1	0	1
Done	0	6	6
Total	966	48	1014

Error

6.4b

Counts

1014 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(*.f64 b_2 (/.f64 -2 a))
	63.6b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))
	61.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	61.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) 3) 1/3)))
	42.3b	(/.f64 -1/2 (/.f64 b_2 c))
	61.7b	(/.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)
	57.3b	(.f64 (+.f64 b_2 (-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) b_2)) (/.f64 1 (neg.f64 a)))
▶	62.3b	(*.f64 2 (/.f64 b_2 a))
	57.3b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	63.4b	(exp.f64 (-.f64 (log.f64 (*.f64 c 1/2)) (log.f64 b_2)))
	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	42.5b	(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 3)
	63.0b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 2) a)))
▶	45.5b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 1/2 (/.f64 b_2 (.f64 c a)))) a)
	44.7b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (*.f64 (/.f64 c b_2) a))) a)
	46.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	57.9b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	59.2b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	44.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (*.f64 (/.f64 c 1) (/.f64 a b_2)))) a)
	46.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)))
	58.2b	(log.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))
	58.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))))
✓	30.9b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
▶	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
	50.9b	(.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))
▶	58.2b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
✓	46.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	57.6b	(/.f64 1/2 (/.f64 b_2 c))
	54.8b	(exp.f64 (log.f64 (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 c) a) b_2)) a)))
	43.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	44.5b	(/.f64 (*.f64 b_2 -2) a)
	51.9b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))))
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
✓	44.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	46.9b	(fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
	57.7b	(*.f64 c (/.f64 1/2 b_2))
	46.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (/.f64 1 a)))
	55.5b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (*.f64 1/2 c) a) b_2)) (sqrt.f64 a)))
	34.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	57.7b	(*.f64 1/2 (/.f64 c b_2))
▶	46.2b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	51.6b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
	42.0b	(/.f64 (*.f64 -1/2 c) b_2)
✓	32.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)

Compiler

Compiled 1385 to 969 computations (30% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
✓	0.3b	(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
✓	22.5b	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))

Compiler

Compiled 52 to 10 computations (80.8% saved)

series27.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite137.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
360×	`fma-def_binary64`
340×	`pow-prod-down_binary64`
274×	`pow2_binary64`
202×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	243	47
2	3624	44

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6) (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c a (.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 (.f64 c a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6)) (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 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 c a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2 (fma.f64 c a (.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 c 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c a (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 c a) 1) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (.f64 b_2 b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (.f64 b_2 b_2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b_2 b_2) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c a) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c a (.f64 b_2 b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 c a (.f64 b_2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 c a (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) 2) (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/4) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 5/6) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6)) (+.f64 (pow.f64 (.f64 c a) 2) (-.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 4)) (fma.f64 c a (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c a (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (.f64 c a)) (pow.f64 (exp.f64 b_2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (.f64 c a)) (+.f64 1 (expm1.f64 (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 b_2) b_2) (exp.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 b_2 b_2))) (exp.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 b_2) b_2) (exp.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b_2 b_2))) (exp.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 c a)) (+.f64 1 (expm1.f64 (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) 1))))))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
581×	`associate-r_binary64`
563×	`fma-neg_binary64`
547×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1570	2070
3	7210	2034

Stop Event

1×	node limit

Counts

333 → 311

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

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

localize47.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
✓	3.4b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 1/2 (/.f64 b_2 (.f64 c a)))) a)
✓	5.4b	(/.f64 b_2 (*.f64 c a))

Compiler

Compiled 50 to 22 computations (56% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

27 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
362×	`pow2_binary64`
310×	`fma-def_binary64`
254×	`pow1/3_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	274	34
2	3989	34

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

17×	`associate-/l*_binary64`
15×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
9×	`associate-l_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	801
1	27	801
2	49	801
3	75	801
4	101	801
5	113	801

Stop Event

1×

saturated

Counts

190 → 126

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	0.2b	(pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3)
✓	33.6b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)

Compiler

Compiled 32 to 19 computations (40.6% saved)

series20.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	inf	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
2.0ms	c	@	0	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
2.0ms	c	@	-inf	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
2.0ms	b_2	@	-inf	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
2.0ms	b_2	@	0	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
867×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	228	17
2	2411	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
(pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3)

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 (/.f64 1 b_2) 1/2))))) (#(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 (/.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 (pow.f64 (/.f64 c b_2) 2)) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2))))) (#(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 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/3))))) (#(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 c b_2)) (*.f64 (sqrt.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 (*.f64 1/2 c) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/3) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2))) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)))))) (#(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 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 (*.f64 1/8 (pow.f64 (/.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 1/8 (pow.f64 (/.f64 c b_2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 c b_2) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 (/.f64 c b_2) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 (/.f64 c b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 c b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3/2) (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2) 3) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/2) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (/.f64 c b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (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 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (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 (*.f64 1/2 c) 3) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 c) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (*.f64 1/2 c)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (/.f64 c b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 (/.f64 c b_2) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (/.f64 c b_2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (/.f64 c b_2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 1/2 (/.f64 c b_2)))))))))

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l/_binary64`
650×	`associate-l_binary64`
637×	`associate-/r/_binary64`
572×	`associate-r_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	512
1	44	512
2	124	512
3	449	440
4	1872	440
5	4635	440
6	5240	440
7	5391	440
8	5908	440
9	6871	440

Stop Event

1×	node limit

Counts

112 → 68

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))))
	15.8b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series260.0ms (1.7%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
181.0ms	a	@	0	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
27.0ms	c	@	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)
7.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
6.0ms	c	@	0	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
571×	`prod-diff_binary64`
310×	`pow2_binary64`
228×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	263	30
2	3573	30

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-/r*_binary64`
493×	`distribute-rgt-in_binary64`
486×	`distribute-lft-in_binary64`
329×	`associate-r_binary64`
255×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	1911
1	733	1458
2	3779	1284

Stop Event

1×	node limit

Counts

112 → 136

Calls

Call 1

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

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

eval425.0ms (2.8%)

Compiler: Compiled 17637 to 7950 computations (54.9% saved)

prune208.0ms (1.4%)

Pruning

56 alts after pruning (46 fresh and 10 done)

	Pruned	Kept	Total
New	810	16	826
Fresh	7	30	37
Picked	0	1	1
Done	1	9	10
Total	818	56	874

Error

6.4b

Counts

874 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(*.f64 b_2 (/.f64 -2 a))
	63.6b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))
	61.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	61.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) 3) 1/3)))
	42.3b	(/.f64 -1/2 (/.f64 b_2 c))
	61.7b	(/.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)
	62.3b	(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
	46.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	57.3b	(.f64 (+.f64 b_2 (-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) b_2)) (/.f64 1 (neg.f64 a)))
	57.7b	(*.f64 c (neg.f64 (/.f64 (cbrt.f64 -1/8) b_2)))
	58.7b	(pow.f64 (exp.f64 (.f64 3 (log.f64 (.f64 1/2 (/.f64 c b_2))))) 1/3)
	62.3b	(/.f64 2 (/.f64 a b_2))
	57.7b	(.f64 -1 (/.f64 (.f64 c (cbrt.f64 -1/8)) b_2))
	63.4b	(exp.f64 (-.f64 (log.f64 (*.f64 c 1/2)) (log.f64 b_2)))
	54.0b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a)
	62.0b	(-.f64 (+.f64 1 (*.f64 2 (/.f64 b_2 a))) 1)
	63.0b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 2) a)))
	42.5b	(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 3)
	62.8b	(pow.f64 (pow.f64 (*.f64 2 (/.f64 b_2 a)) 3) 1/3)
✓	45.5b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 1/2 (/.f64 b_2 (.f64 c a)))) a)
	44.7b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (*.f64 (/.f64 c b_2) a))) a)
	58.2b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3) 3) 1/3)
	46.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)))
	57.3b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) b_2)) a)
	58.2b	(log.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))
	58.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 b_2 c))))))
	58.7b	(.f64 (pow.f64 (pow.f64 (.f64 1/2 (/.f64 c b_2)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3/2) 1/3))
	44.5b	(/.f64 (*.f64 b_2 -2) a)
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
✓	30.9b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
	50.9b	(.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))
✓	58.2b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
✓	46.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	57.6b	(/.f64 1/2 (/.f64 b_2 c))
	54.8b	(exp.f64 (log.f64 (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 c) a) b_2)) a)))
	51.9b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))))
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
✓	44.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	33.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	46.9b	(fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 c b_2) -1/2))
	57.7b	(*.f64 c (/.f64 1/2 b_2))
	57.9b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	46.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (/.f64 1 a)))
	43.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	55.5b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 b_2 -2 (/.f64 (.f64 (*.f64 1/2 c) a) b_2)) (sqrt.f64 a)))
	34.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	57.7b	(*.f64 1/2 (/.f64 c b_2))
✓	46.2b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	51.6b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
	42.0b	(/.f64 (*.f64 -1/2 c) b_2)
✓	32.8b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	59.2b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (-.f64 (*.f64 (/.f64 c b_2) 1/2) (/.f64 b_2 a))))
	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	45.5b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 1/2 b_2) (*.f64 c a))) a)

Compiler

Compiled 842 to 601 computations (28.6% saved)

regimes1.6s (10.8%)

Counts

84 → 3

Calls

Call 1

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

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

Calls

4 calls:

736.0ms	c
522.0ms	a
180.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
169.0ms	b_2

Results

Error	Segments	Branch
26.9b	7	`a`
11.6b	3	`b_2`
24.7b	8	`c`
13.9b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1008 to 488 computations (51.6% saved)

bsearch324.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	2.0267636058962214e+123	4.729252781932347e+125
143.0ms	-1.3241574424562388e-93	-5.885248321845188e-97

Compiler

Compiled 454 to 313 computations (31.1% saved)

regimes1.1s (6.9%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

3 calls:

662.0ms	a
249.0ms	c
128.0ms	b_2

Results

Error	Segments	Branch
31.3b	11	`a`
15.0b	3	`b_2`
34.2b	4	`c`

Compiler

Compiled 317 to 163 computations (48.6% saved)

bsearch206.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	1.7416162157431165e-123	3.2516430043818937e-118
135.0ms	-1.3241574424562388e-93	-5.885248321845188e-97

Compiler

Compiled 467 to 340 computations (27.2% saved)

regimes699.0ms (4.6%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

502.0ms	a
119.0ms	c
60.0ms	b_2

Results

Error	Segments	Branch
33.0b	9	`a`
23.9b	2	`b_2`
37.3b	3	`c`

Compiler

Compiled 297 to 159 computations (46.5% saved)

bsearch48.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	-1.3677779158805622e-228	-1.644652111111047e-229

Compiler

Compiled 130 to 99 computations (23.8% saved)

regimes257.0ms (1.7%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

175.0ms	c
62.0ms	a
14.0ms	b_2

Results

Error	Segments	Branch
33.3b	9	`a`
24.2b	2	`b_2`
37.5b	3	`c`

Compiler

Compiled 75 to 46 computations (38.7% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-1.3677779158805622e-228	-1.644652111111047e-229

Compiler

Compiled 130 to 99 computations (23.8% saved)

regimes17.0ms (0.1%)

Accuracy

Total -18.4b remaining (-41.4%)

Threshold costs -18.4b (-41.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	b_2
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
44.5b	1	`a`
44.5b	1	`b_2`
44.5b	1	`c`

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
16×	`*-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	160
1	70	160
2	91	160
3	115	160
4	128	160
5	135	160
6	137	160

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 2099999999999999938512545293612214632812513295015978891425359046914232518948095188687213366600863254889872056444193442103296) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 2604989987875455/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -4608931576006555/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -4608931576006555/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 (*.f64 b_2 -2) a))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 2 (/.f64 a b_2))

Outputs
(if (<=.f64 b_2 -5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 2099999999999999938512545293612214632812513295015978891425359046914232518948095188687213366600863254889872056444193442103296) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 2099999999999999938512545293612214632812513295015978891425359046914232518948095188687213366600863254889872056444193442103296) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 2604989987875455/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -4608931576006555/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -4608931576006555/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 (*.f64 b_2 -2) a))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 2 (/.f64 a b_2))

Compiler

Compiled 127 to 87 computations (31.5% saved)

soundness0.0ms (0%)

end62.0ms (0.4%)

Compiler: Compiled 112 to 69 computations (38.4% saved)