Details

analyze286.0ms (4.1%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.4s (35%)

Results

663.0ms	1175×	body	2048	valid
626.0ms	5261×	body	64	valid
397.0ms	410×	body	4096	valid
329.0ms	707×	body	1024	valid
180.0ms	1570×	body	64	invalid
149.0ms	393×	body	512	valid
60.0ms	199×	body	256	valid
24.0ms	111×	body	128	valid

preprocess86.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1000×	`fma-def_binary64`
869×	`fma-neg_binary64`
580×	`div-sub_binary64`
536×	`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	1249	80
6	3263	80
7	5749	80
8	6668	80
9	6967	80
10	7040	80
11	7104	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 c (neg.f64 a) (*.f64 b_2 b_2)))) 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)
(neg.f64 (/.f64 (+.f64 a (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (neg.f64 b_2) c (*.f64 a a)))) b_2)
(/.f64 (+.f64 a (sqrt.f64 (fma.f64 (neg.f64 b_2) c (*.f64 a a)))) (neg.f64 b_2))
(/.f64 (+.f64 a (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) (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 c (neg.f64 a) (*.f64 b_2 b_2)))) 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 (neg.f64 (+.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 c (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) (neg.f64 a))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
208×	`associate-/l*_binary64`
205×	`fma-def_binary64`
181×	`times-frac_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	392	20
6	662	20
7	1008	20
8	1214	20
9	1599	20
10	3126	20
11	3899	20
12	3997	20
13	4005	20
14	4013	20
15	4013	20
16	4071	20
17	4107	20
18	4137	20
19	4149	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)

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

33.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize14.0ms (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))
✓	1.8b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	20.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series24.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

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

rewrite141.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`fma-def_binary64`
646×	`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	4065	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 expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(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 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 log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))
((#(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 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)))))) (#(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)))))))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac_binary64`
654×	`unswap-sqr_binary64`
529×	`fma-neg_binary64`
528×	`fma-def_binary64`
510×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2064
1	411	2002
2	1338	1973
3	6762	1946

Stop Event

1×	node limit

Counts

477 → 455

Calls

Call 1

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

prune1.0s (15%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	444	11	455
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	445	11	456

Error

4.8b

Counts

456 → 11

Alt Table

Status	Error	Program
	34.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	47.1b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	46.8b	(/.f64 (*.f64 b_2 -2) a)
	44.5b	(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	44.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	34.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
▶	31.7b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	53.7b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	34.6b	(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)))
	44.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)

Compiler

Compiled 11314 to 3295 computations (70.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	1.3b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	11.3b	(sqrt.f64 (*.f64 a (neg.f64 c)))

series33.0ms (0.5%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	-inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
3.0ms	a	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
3.0ms	c	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
2.0ms	a	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
2.0ms	c	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite70.0ms (1%)

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	41
1	276	33
2	3787	33

Stop Event

1×	node limit

Counts

3 → 133

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)))

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

795×	`times-frac_binary64`
469×	`distribute-rgt-neg-out_binary64`
446×	`fma-def_binary64`
434×	`associate-/l*_binary64`
361×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	989
1	323	904
2	1011	828
3	5420	798

Stop Event

1×	node limit

Counts

161 → 181

Calls

Call 1

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

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

prune204.0ms (2.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	179	13	192

Error

4.8b

Counts

192 → 13

Alt Table

Status	Error	Program
▶	34.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	47.1b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	34.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	31.7b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.9b	(*.f64 (/.f64 -2 a) b_2)
	53.7b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	34.6b	(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)))
	42.4b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))
	44.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	44.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	52.3b	(.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))
	51.9b	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))

Compiler

Compiled 4401 to 1920 computations (56.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	0.5b	(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)
✓	8.8b	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))
	11.3b	(sqrt.f64 (*.f64 a (neg.f64 c)))

series88.0ms (1.3%)

Counts

3 → 20

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	c	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))
11.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))
6.0ms	c	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)
5.0ms	c	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)
5.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`prod-diff_binary64`
522×	`log-prod_binary64`
273×	`pow2_binary64`
248×	`fma-def_binary64`
190×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	285	32
2	3487	32

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs

(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))

(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)

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

Outputs

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

566×	`distribute-rgt-in_binary64`
548×	`distribute-lft-in_binary64`
423×	`fma-def_binary64`
378×	`associate-l_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	698
1	310	666
2	948	629
3	4146	626

Stop Event

1×	node limit

Counts

238 → 249

Calls

Call 1

Inputs
(.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))) (.f64 (-.f64 (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3))))) (pow.f64 b_2 4)))))
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -2 b_2)
(*.f64 -2 b_2)
(sqrt.f64 (.f64 -1 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (.f64 (pow.f64 b_2 4) (-.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3)))) (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3)))))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (+.f64 (.f64 (pow.f64 b_2 6) (-.f64 (+.f64 (.f64 55/1296 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 16)) 1/3)) (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 16)) 1/3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3))))))) (.f64 5/216 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5))))) (.f64 (pow.f64 b_2 4) (-.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3)))) (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3))))))))
b_2
b_2
(pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3))
(+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 11)) 1/3) (pow.f64 b_2 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3)))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 17)) 1/3) (pow.f64 b_2 6))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 11)) 1/3) (pow.f64 b_2 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3))))
(pow.f64 b_2 1/3)
(pow.f64 b_2 1/3)

Outputs
(.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))
(neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))
(neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))))
(.f64 -1 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))
(-.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(-.f64 (-.f64 (.f64 -1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))) (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(-.f64 (.f64 -1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(fma.f64 -1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))) (.f64 (-.f64 (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3))))) (pow.f64 b_2 4)))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (neg.f64 (.f64 c a)))) (fma.f64 -1 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (-.f64 (/.f64 5/72 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)) (fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 10))) -1/9) (/.f64 1/18 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))) (pow.f64 b_2 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (fma.f64 (-.f64 (/.f64 5/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 1/18 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)))) (pow.f64 b_2 4) (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2)
(-.f64 (-.f64 (fma.f64 (-.f64 0 (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)))) (pow.f64 b_2 4) (.f64 -1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))) (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)
(-.f64 (-.f64 (.f64 -1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) b_2) (fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (sqrt.f64 (.f64 c (neg.f64 a)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(sqrt.f64 (.f64 -1 (.f64 c a)))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (*.f64 c a))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (neg.f64 (.f64 c a)))))
(fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) 1/2 (sqrt.f64 (.f64 c (neg.f64 a))))
(fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1/2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (.f64 (pow.f64 b_2 4) (-.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3)))) (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3)))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (pow.f64 b_2 4) (-.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 10))) -1/9) (/.f64 1/18 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (/.f64 5/72 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(+.f64 (fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) 1/2 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/72))))
(fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1/2 (fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (.f64 -1 (.f64 c a))))) (+.f64 (.f64 (pow.f64 b_2 6) (-.f64 (+.f64 (.f64 55/1296 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 16)) 1/3)) (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 16)) 1/3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3))))))) (.f64 5/216 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5))))) (.f64 (pow.f64 b_2 4) (-.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)) (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 10)) 1/3)))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 3)))) (.f64 5/72 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 c a))) 3))))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (neg.f64 (.f64 c a)))) (fma.f64 (pow.f64 b_2 6) (+.f64 (/.f64 55/1296 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)) (-.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 16))) 5/81) (.f64 1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))))) (/.f64 5/216 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))) (.f64 (pow.f64 b_2 4) (-.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 10))) -1/9) (/.f64 1/18 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (/.f64 5/72 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))))
(+.f64 (fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) 1/2 (sqrt.f64 (.f64 c (neg.f64 a)))) (fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/72)) (.f64 (pow.f64 b_2 6) (+.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 16))) 5/81) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))))) (-.f64 (/.f64 55/1296 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (/.f64 5/216 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1/2 (fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (.f64 (pow.f64 b_2 6) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 16))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) 5/81) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/54))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 25/1296))))))
(+.f64 (fma.f64 (pow.f64 b_2 6) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/54) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 16))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) 5/81))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) 25/1296)) (.f64 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1/2)) (fma.f64 (pow.f64 b_2 4) (fma.f64 (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 10))) -1/9) (/.f64 -1/72 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
b_2
b_2
(pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3)
(cbrt.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))
(cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3))
(fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))) (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))))
(fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 b_2 (.f64 b_2 1/6)) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 (.f64 b_2 b_2) 1/6) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))
(+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 11)) 1/3) (pow.f64 b_2 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3)))
(fma.f64 -5/72 (.f64 (pow.f64 b_2 4) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 11)))) (fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))) (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 -5/72 (.f64 (pow.f64 b_2 4) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 11)))) (fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a))))))
(fma.f64 (.f64 b_2 b_2) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 11))) (.f64 (pow.f64 b_2 4) -5/72) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a))))))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 17)) 1/3) (pow.f64 b_2 6))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 11)) 1/3) (pow.f64 b_2 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 5)) 1/3) (pow.f64 b_2 2))) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3))))
(fma.f64 55/1296 (.f64 (pow.f64 b_2 6) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 17)))) (fma.f64 -5/72 (.f64 (pow.f64 b_2 4) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 11)))) (fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))) (cbrt.f64 (sqrt.f64 (neg.f64 (.f64 c a)))))))
(fma.f64 55/1296 (.f64 (pow.f64 b_2 6) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 17)))) (fma.f64 -5/72 (.f64 (pow.f64 b_2 4) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 11)))) (fma.f64 1/6 (.f64 (.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)))) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(fma.f64 (pow.f64 b_2 4) (.f64 -5/72 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 11)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 17))) (.f64 (pow.f64 b_2 6) 55/1296) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 b_2 (.f64 b_2 1/6)) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 11))) (.f64 (pow.f64 b_2 4) -5/72) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 17))) (.f64 (pow.f64 b_2 6) 55/1296) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))) (.f64 (.f64 b_2 b_2) 1/6) (cbrt.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(pow.f64 b_2 1/3)
(cbrt.f64 b_2)
(pow.f64 b_2 1/3)
(cbrt.f64 b_2)

prune249.0ms (3.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	273	4	277
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	275	15	290

Error

4.8b

Counts

290 → 15

Alt Table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	47.1b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	44.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) 1/3) 3)) a)
	34.6b	(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)))
	52.3b	(.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (/.f64 1 (neg.f64 a)))
	47.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 b_2) 3)) a)
▶	34.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	31.7b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.9b	(*.f64 (/.f64 -2 a) b_2)
	53.7b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	56.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1/3)) 3)) a)
	42.4b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))
	44.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	48.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 1/3) 3)) a)

Compiler

Compiled 10551 to 3516 computations (66.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
✓	12.7b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	21.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

series52.0ms (0.7%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
8.0ms	b_2	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
3.0ms	a	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
614×	`fma-def_binary64`
342×	`pow2_binary64`
291×	`fma-neg_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	306	40
2	4050	38

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
571×	`associate-r_binary64`
497×	`times-frac_binary64`
399×	`associate-l_binary64`
388×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	7703
1	2127	6669

Stop Event

1×	node limit

Counts

274 → 353

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(sqrt.f64 (*.f64 -1 b_2))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4))))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (pow.f64 b_2 6)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4)))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2)) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
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(sqrt.f64 (.f64 -1 (.f64 c a)))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(*.f64 -1 b_2)
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(sqrt.f64 (*.f64 -1 b_2))
(sqrt.f64 (neg.f64 b_2))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (*.f64 a (sqrt.f64 (neg.f64 b_2)))))))
(fma.f64 -1/4 (.f64 (.f64 (/.f64 c b_2) a) (/.f64 (sqrt.f64 (neg.f64 b_2)) b_2)) (sqrt.f64 (neg.f64 b_2)))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (sqrt.f64 (neg.f64 b_2))))) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (/.f64 (pow.f64 b_2 4) (sqrt.f64 (neg.f64 b_2))))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 -1/4 (.f64 (.f64 (/.f64 c b_2) a) (/.f64 (sqrt.f64 (neg.f64 b_2)) b_2)) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 (*.f64 c c) -3/32)) (pow.f64 b_2 4)) (sqrt.f64 (neg.f64 b_2)))))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (pow.f64 b_2 6)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4)))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (+.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (sqrt.f64 (neg.f64 b_2))))) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (/.f64 (pow.f64 b_2 4) (sqrt.f64 (neg.f64 b_2))))) (/.f64 (sqrt.f64 (neg.f64 b_2)) (/.f64 (pow.f64 b_2 6) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96))))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (+.f64 (fma.f64 -1/4 (.f64 (.f64 (/.f64 c b_2) a) (/.f64 (sqrt.f64 (neg.f64 b_2)) b_2)) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (pow.f64 b_2 4)) (sqrt.f64 (neg.f64 b_2)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 b_2)) (pow.f64 b_2 6)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)) 1) (sqrt.f64 b_2)))
(fma.f64 -1/4 (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/32) (pow.f64 b_2 4)) 1) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2)) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (.f64 (pow.f64 a 3) (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384))) (sqrt.f64 b_2) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)) 1) (sqrt.f64 b_2))))
(fma.f64 -1/4 (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (sqrt.f64 b_2) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/32) (pow.f64 b_2 4)) 1) (.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) (*.f64 c a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c))))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) (/.f64 (.f64 a a) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 c a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a) (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) -3/32) a)))
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(neg.f64 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))
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(sqrt.f64 (.f64 -1 (.f64 c a)))
(sqrt.f64 (*.f64 (neg.f64 c) a))
(sqrt.f64 (*.f64 a (neg.f64 c)))
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(fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (.f64 c a)))) -1/2 (sqrt.f64 (.f64 a (neg.f64 c))))
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b_2
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(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(*.f64 -1 b_2)
(neg.f64 b_2)
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(-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
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(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
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(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a))) (pow.f64 c 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (.f64 (.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) 1/2) a)) (pow.f64 c 3)))

prune1.1s (15.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	534	5	539
Fresh	8	4	12
Picked	0	1	1
Done	0	2	2
Total	542	12	554

Error

0.6b

Counts

554 → 12

Alt Table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	53.2b	(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2) 1/2) (.f64 (/.f64 c b_2) (/.f64 a b_2))) (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2))) a)
	51.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	34.5b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
	44.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
✓	34.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	31.7b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	52.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
	53.7b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	46.8b	(/.f64 (*.f64 -2 b_2) a)
	42.4b	(fma.f64 1/2 (.f64 -1 (/.f64 c b_2)) (.f64 (/.f64 (neg.f64 c) 1) (/.f64 (.f64 (.f64 c a) 1/8) (pow.f64 b_2 3))))

Compiler

Compiled 20863 to 10655 computations (48.9% saved)

regimes289.0ms (4.1%)

Accuracy

Total -55.1b remaining (-621.6%)

Threshold costs -55.1b (-621.6%)

Counts

25 → 3

Calls

Call 1

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

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

Results

122.0ms	23.6b	`a`
39.0ms	8.9b	`b_2`
85.0ms	24.7b	`c`
33.0ms	11.2b	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 421 to 209 computations (50.4% saved)

bsearch201.0ms (2.9%)

Algorithm

2×	binary-search

Calls

2 calls:

109.0ms	b_2
92.0ms	b_2

Steps

Iters	Point		Range
2.4e+77	∈ [	2.3365840029015474e+77	,	4.720155563661528e+88	]
-8.2e-157	∈ [	-6.3430118941279794e-133	,	-8.021396961958744e-157	]

Compiler

Compiled 618 to 423 computations (31.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	40	53
2	57	53
3	73	53
4	82	53
5	86	53
6	87	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -202810929207945728/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 239999999999999985583423570873468292726036956330197497987441128312872623931392) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))

Outputs

(if (<=.f64 b_2 -202810929207945728/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 239999999999999985583423570873468292726036956330197497987441128312872623931392) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))

(if (<=.f64 b_2 -396115096109269/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 239999999999999985583423570873468292726036956330197497987441128312872623931392) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))

end23.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 78 to 48 computations (38.5% saved)

Details

analyze286.0ms (4.1%)

sample2.4s (35%)

preprocess86.0ms (1.2%)

simplify61.0ms (0.9%)

prune2.0ms (0%)

localize14.0ms (0.2%)

series24.0ms (0.4%)

rewrite141.0ms (2%)

simplify104.0ms (1.5%)

prune1.0s (15%)

localize11.0ms (0.2%)

series33.0ms (0.5%)

rewrite70.0ms (1%)

simplify54.0ms (0.8%)

prune204.0ms (2.9%)

localize16.0ms (0.2%)

series88.0ms (1.3%)

rewrite114.0ms (1.6%)

simplify50.0ms (0.7%)

prune249.0ms (3.6%)

localize13.0ms (0.2%)

series52.0ms (0.7%)

rewrite86.0ms (1.2%)

simplify113.0ms (1.6%)

prune1.1s (15.8%)

regimes289.0ms (4.1%)

bsearch201.0ms (2.9%)

simplify4.0ms (0.1%)

end23.0ms (0.3%)

Profiling