Details

analyze381.0ms (3.3%)

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)

sample2.1s (18.4%)

Results

827.0ms	5487×	body	256	valid
501.0ms	1208×	body	2048	valid
234.0ms	737×	body	1024	valid
226.0ms	435×	body	4096	valid
206.0ms	1522×	body	256	invalid
87.0ms	389×	body	512	valid

preprocess83.0ms (0.7%)

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 19 to 13 computations (31.6% saved)

simplify97.0ms (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)

eval0.0ms (0%)

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

prune1.0ms (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

32.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.5b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.5b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series58.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

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

rewrite184.0ms (1.6%)

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

simplify130.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
585×	`associate-r_binary64`
563×	`fma-neg_binary64`
549×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1562	2070
3	7220	2034

Stop Event

1×	node limit

Counts

477 → 456

Calls

Call 1

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

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

eval203.0ms (1.8%)

Compiler: Compiled 11079 to 3317 computations (70.1% saved)

prune95.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	435	21	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	435	22	457

Error

5.5b

Counts

457 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	40.3b	(*.f64 -1/2 (/.f64 c b_2))
▶	47.4b	(/.f64 (*.f64 -2 b_2) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
▶	31.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	55.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	43.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
▶	47.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	54.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 a)))
	43.9b	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (*.f64 a c)))) a)
▶	32.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
	45.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	32.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	45.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	54.1b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	41.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	43.3b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	43.3b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
	33.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
▶	42.5b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	43.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	41.5b	(fma.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (.f64 -1/2 (/.f64 c b_2)))

Compiler

Compiled 726 to 470 computations (35.3% saved)

localize39.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	11.3b	(sqrt.f64 (*.f64 a (neg.f64 c)))
	0.5b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	0.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.5b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	11.3b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series44.0ms (0.4%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms	c	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms	a	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
3.0ms	a	@	-inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
3.0ms	a	@	-inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite124.0ms (1.1%)

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
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Outputs

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
633×	`associate-/l*_binary64`
456×	`fma-def_binary64`
440×	`associate-/r*_binary64`
342×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1115
1	415	894
2	1576	820
3	6344	802
4	7871	802

Stop Event

1×	node limit

Counts

161 → 180

Calls

Call 1

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

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

localize27.0ms (0.2%)

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

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series14.0ms (0.1%)

Counts

3 → 9

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(*.f64 1/2 (/.f64 c b_2))
1.0ms	b_2	@	0	(*.f64 -2 (/.f64 b_2 a))
1.0ms	a	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	a	@	0	(*.f64 -2 (/.f64 b_2 a))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	3418	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

133 → 128

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.5b	(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
	0.1b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
✓	0.1b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
✓	0.5b	(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	34.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))

Compiler

Compiled 69 to 22 computations (68.1% saved)

series31.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
3.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	40
2	3875	38

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3320
1	1050	2990
2	4289	2709

Stop Event

1×	node limit

Counts

243 → 276

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (.f64 -3/2 (.f64 c (*.f64 a b_2))))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 9/8 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/2 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -3/2 (.f64 c (.f64 a b_2))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))

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

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	22.4b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
	1.0b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
	0.5b	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
✓	0.5b	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
✓	1.0b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
✓	22.4b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
✓	53.7b	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 105 to 13 computations (87.6% saved)

series31.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	c	@	-inf	(fma.f64 a (neg.f64 c) (*.f64 a c))
1.0ms	b_2	@	0	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`fma-def_binary64`
600×	`log-prod_binary64`
325×	`pow2_binary64`
324×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	285	57
2	4099	57

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2) (cbrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c c))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b_2 3) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) 3/2)) (sqrt.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) 2))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b_2 4) (-.f64 (.f64 b_2 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) (/.f64 (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) 2) (-.f64 (.f64 b_2 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a c (fma.f64 a (+.f64 c c) (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (fma.f64 a 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simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
715×	`distribute-rgt-in_binary64`
680×	`distribute-lft-in_binary64`
619×	`associate-/l*_binary64`
478×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1805
1	563	1460
2	1968	1426

Stop Event

1×	node limit

Counts

353 → 330

Calls

Call 1

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

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

eval474.0ms (4.1%)

Compiler: Compiled 28417 to 12601 computations (55.7% saved)

prune218.0ms (1.9%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1078	23	1101
Fresh	9	7	16
Picked	1	0	1
Done	2	3	5
Total	1090	33	1123

Error

5.4b

Counts

1123 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	40.3b	(*.f64 -1/2 (/.f64 c b_2))
✓	47.4b	(/.f64 (*.f64 -2 b_2) a)
	41.4b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.4b	(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
	43.3b	(/.f64 (+.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
	47.8b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
▶	45.5b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	43.7b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
	49.0b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
	41.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	49.4b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
✓	31.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	43.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	43.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	54.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 a)))
	55.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
▶	42.0b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))
	45.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	56.6b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 b_2 3))) a)
▶	32.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	54.1b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	47.6b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	47.4b	(*.f64 b_2 (/.f64 -2 a))
	50.7b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
	43.3b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	43.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	55.9b	(*.f64 1/2 (/.f64 c b_2))
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 c (.f64 (*.f64 a b_2) 3/2)) (pow.f64 b_2 3)))) a)
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
▶	55.9b	(*.f64 (/.f64 1/2 b_2) c)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)

Compiler

Compiled 967 to 648 computations (33% saved)

localize31.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.4b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
	1.0b	(-.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)
	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	12.4b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	23.0b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series42.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
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	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))
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))

rewrite91.0ms (0.8%)

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

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

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

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
618×	`associate-r_binary64`
478×	`times-frac_binary64`
464×	`associate-l_binary64`
370×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7850
1	2194	6753

Stop Event

1×	node limit

Counts

274 → 355

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1560	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 23

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.3b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	5.1b	(/.f64 b_2 (*.f64 a c))
	0.7b	(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
✓	0.7b	(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
✓	5.1b	(/.f64 b_2 (*.f64 a c))
✓	9.3b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
457×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
272×	`pow2_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	203	30
2	2987	30

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

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

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

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

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
13×	`*-commutative_binary64`
9×	`associate-/r/_binary64`
8×	`associate-l_binary64`
7×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	864
1	22	864
2	36	864
3	58	864
4	79	864
5	88	864

Stop Event

1×

saturated

Counts

263 → 160

Calls

Call 1

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

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
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localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	39.8b	(cbrt.f64 (pow.f64 b_2 3))
✓	39.8b	(cbrt.f64 (pow.f64 b_2 3))

Compiler

Compiled 31 to 19 computations (38.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	-inf	(cbrt.f64 (pow.f64 b_2 3))
0.0ms	b_2	@	inf	(cbrt.f64 (pow.f64 b_2 3))
0.0ms	b_2	@	0	(cbrt.f64 (pow.f64 b_2 3))

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

347×	`pow1_binary64`
344×	`add-sqr-sqrt_binary64`
332×	`add-log-exp_binary64`
332×	`log1p-expm1-u_binary64`
332×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	107	1
2	955	1

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 b_2 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b_2))) (log.f64 (sqrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 b_2 b_2)))) (log.f64 (cbrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (cbrt.f64 (*.f64 (cbrt.f64 b_2) (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (pow.f64 (*.f64 (cbrt.f64 b_2) (*.f64 b_2 b_2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (pow.f64 b_2 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/6) (cbrt.f64 (pow.f64 b_2 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/6) (pow.f64 (pow.f64 b_2 5/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 3/4) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b_2 8))) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b_2 5/2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 5)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 b_2) b_2)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 5/2) 1/3) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 8)) 1/3) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b_2) 3) 1) (+.f64 (*.f64 (+.f64 1 b_2) (+.f64 1 b_2)) (+.f64 1 (*.f64 (+.f64 1 b_2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (sqrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (cbrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 b_2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	40
1	11	40
2	24	40
3	28	40
4	32	40
5	50	40
6	72	40
7	83	40
8	95	40
9	120	40

Stop Event

1×

saturated

Counts

56 → 47

Calls

Call 1

Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))

Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(neg.f64 (*.f64 b_2 (cbrt.f64 -1)))
(*.f64 b_2 (neg.f64 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(neg.f64 (*.f64 b_2 (cbrt.f64 -1)))
(*.f64 b_2 (neg.f64 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(neg.f64 (*.f64 b_2 (cbrt.f64 -1)))
(*.f64 b_2 (neg.f64 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 b_2))
(.f64 -1 (.f64 (cbrt.f64 -1) b_2))
(neg.f64 (*.f64 b_2 (cbrt.f64 -1)))
(*.f64 b_2 (neg.f64 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 b_2))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	10.5b	(/.f64 (pow.f64 b_2 3) (*.f64 c a))
	5.4b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))
	3.9b	(/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a)))
	0.0b	(/.f64 (*.f64 c -1/2) b_2)
✓	0.0b	(/.f64 (*.f64 c -1/2) b_2)
✓	3.9b	(/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a)))
✓	5.4b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))
✓	10.5b	(/.f64 (pow.f64 b_2 3) (*.f64 c a))

Compiler

Compiled 55 to 30 computations (45.5% saved)

series29.0ms (0.3%)

Counts

4 → 96

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	b_2	@	0	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))
1.0ms	c	@	0	(/.f64 (pow.f64 b_2 3) (*.f64 c a))
1.0ms	b_2	@	0	(/.f64 (pow.f64 b_2 3) (*.f64 c a))
1.0ms	c	@	inf	(/.f64 (pow.f64 b_2 3) (*.f64 c a))
1.0ms	c	@	0	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log-prod_binary64`
359×	`prod-diff_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`
223×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	309	53
2	4153	53

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

Inputs
(/.f64 (pow.f64 b_2 3) (*.f64 c a))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (/.f64 (.f64 c -1/2) b_2))
(/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a)))
(/.f64 (*.f64 c -1/2) b_2)

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1195×	`associate-*l/_binary64`
1013×	`associate-/l/_binary64`
878×	`associate-/r/_binary64`
783×	`unswap-sqr_binary64`
382×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	1365
1	39	1365
2	112	1365
3	452	1365
4	2599	1338
5	3105	1284
6	3315	1284
7	3906	1284
8	4866	1284
9	5042	1284

Stop Event

1×	node limit

Counts

268 → 179

Calls

Call 1

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

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

eval465.0ms (4.1%)

Compiler: Compiled 27724 to 14432 computations (47.9% saved)

prune211.0ms (1.8%)

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	925	26	951
Fresh	9	16	25
Picked	1	0	1
Done	2	5	7
Total	937	47	984

Error

0.8b

Counts

984 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
✓	47.4b	(/.f64 (*.f64 -2 b_2) a)
▶	40.3b	(*.f64 -1/2 (/.f64 c b_2))
	44.9b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
	41.4b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	55.9b	(/.f64 1/2 (/.f64 b_2 c))
	43.3b	(/.f64 (+.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
▶	55.7b	(/.f64 0 a)
▶	41.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)) a)
	59.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
	47.8b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
✓	45.5b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	49.9b	(/.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)
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
	49.0b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
	41.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	41.4b	(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)))
	43.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	50.2b	(pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
	42.9b	(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
	43.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	54.6b	(/.f64 (fma.f64 (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (neg.f64 (pow.f64 (.f64 -1/2 (/.f64 c b_2)) 2))) (-.f64 (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (*.f64 -1/2 (/.f64 c b_2))))
	42.9b	(.f64 (/.f64 -1/2 b_2) (.f64 (*.f64 a c) (/.f64 1 a)))
	54.1b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
▶	43.8b	(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
	59.5b	(/.f64 (neg.f64 b_2) a)
	52.8b	(/.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)
	45.4b	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
	47.6b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	47.4b	(*.f64 b_2 (/.f64 -2 a))
	45.5b	(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
	43.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	51.4b	(/.f64 (/.f64 -1/2 (exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 c))) -1))) a)
	40.4b	(*.f64 c (/.f64 -1/2 b_2))
✓	55.9b	(*.f64 (/.f64 1/2 b_2) c)
	43.8b	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
	43.3b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	43.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 c (.f64 (*.f64 a b_2) 3/2)) (pow.f64 b_2 3)))) a)
▶	48.7b	(/.f64 (-.f64 (neg.f64 b_2) (expm1.f64 (log1p.f64 b_2))) a)
	47.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 b_2) 3)) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)
✓	31.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	56.5b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
	45.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	56.3b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))

Compiler

Compiled 1355 to 956 computations (29.4% saved)

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.4b	(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
	6.2b	(/.f64 a (/.f64 b_2 c))
	0.0b	(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
✓	0.0b	(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
✓	6.2b	(/.f64 a (/.f64 b_2 c))
✓	9.4b	(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
296×	`pow2_binary64`
294×	`pow-unpow_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	235	30
2	3186	30

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	864
1	19	864
2	34	864
3	57	864
4	80	864
5	90	864

Stop Event

1×

saturated

Counts

236 → 133

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.3b	(expm1.f64 (log1p.f64 b_2))
✓	1.3b	(expm1.f64 (log1p.f64 b_2))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	-inf	(expm1.f64 (log1p.f64 b_2))
0.0ms	b_2	@	0	(expm1.f64 (log1p.f64 b_2))
0.0ms	b_2	@	inf	(expm1.f64 (log1p.f64 b_2))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`expm1-udef_binary64`
392×	`log1p-udef_binary64`
258×	`associate-r_binary64`
258×	`pow1_binary64`
250×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	58	1
2	656	1
3	7297	1

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 b_2))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

79 → 68

Calls

Call 1

Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2

Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.5b	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
	0.3b	(pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)
	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)) a)
	0.0b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2))
✓	0.0b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2))
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)) a)
✓	0.3b	(pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)
✓	12.5b	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)

Compiler

Compiled 54 to 25 computations (53.7% saved)

series151.0ms (1.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
39.0ms	a	@	-inf	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
26.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)) a)
22.0ms	a	@	0	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
17.0ms	c	@	0	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
12.0ms	c	@	-inf	(pow.f64 (*.f64 a (neg.f64 c)) 1/4)

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
321×	`pow2_binary64`
293×	`fma-def_binary64`
251×	`pow-unpow_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	300	34
2	4143	34

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

Outputs
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simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-neg_binary64`
557×	`times-frac_binary64`
465×	`fma-def_binary64`
388×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	2345
1	271	2309
2	647	2003
3	1478	1427
4	5567	1427

Stop Event

1×	node limit

Counts

342 → 262

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)) a))
(.f64 -1 (/.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)) a))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -1 c)) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))

Outputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
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(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -1 c))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -1 a))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -1 a))))) 2) b_2))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) b_2)
(-.f64 (neg.f64 b_2) (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4)) 2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))

eval124.0ms (1.1%)

Compiler: Compiled 7277 to 3151 computations (56.7% saved)

prune213.0ms (1.9%)

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	463	20	483
Fresh	9	28	37
Picked	0	1	1
Done	2	7	9
Total	474	56	530

Error

0.8b

Counts

530 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
✓	47.4b	(/.f64 (*.f64 -2 b_2) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	40.3b	(/.f64 (*.f64 -1/2 c) b_2)
	45.2b	(.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 a -1/2) b_2) (/.f64 1 c)))
	41.4b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	41.5b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
	55.9b	(/.f64 1/2 (/.f64 b_2 c))
	43.3b	(/.f64 (+.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
✓	41.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2)) a)
	41.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	55.7b	(/.f64 0 a)
	40.6b	(/.f64 (*.f64 (/.f64 -1/2 a) a) (/.f64 b_2 c))
	49.0b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
	49.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)) a)
	47.8b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	40.6b	(/.f64 -1/2 (/.f64 b_2 c))
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
	52.7b	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 1 (/.f64 (+.f64 b_2 2) (*.f64 (+.f64 b_2 2) b_2)))) a)
	59.5b	(/.f64 (neg.f64 b_2) a)
	45.3b	(/.f64 -1/2 (/.f64 a (*.f64 c (/.f64 a b_2))))
✓	31.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	45.5b	(.f64 (/.f64 1 a) (/.f64 -1/2 (/.f64 b_2 (.f64 a c))))
	41.4b	(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)))
	43.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	50.2b	(pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
	42.9b	(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
	43.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	56.5b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
	52.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)) a)
	45.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	40.7b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	47.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 b_2) 3)) a)
	48.9b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 1 (-.f64 b_2 1))) a)
	54.6b	(/.f64 (fma.f64 (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (neg.f64 (pow.f64 (.f64 -1/2 (/.f64 c b_2)) 2))) (-.f64 (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a)) (*.f64 -1/2 (/.f64 c b_2))))
	54.1b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	53.1b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
	57.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 3) 1/3)) a)
	45.4b	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
	46.7b	(.f64 (/.f64 1 a) (.f64 -1/2 (expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b_2))))))
	47.6b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	47.4b	(*.f64 b_2 (/.f64 -2 a))
	45.5b	(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
	43.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	51.4b	(/.f64 (/.f64 -1/2 (exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 c))) -1))) a)
	45.4b	(.f64 (/.f64 1 a) (.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 3)))
✓	55.9b	(*.f64 (/.f64 1/2 b_2) c)
	43.8b	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
	43.3b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	43.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 c (.f64 (*.f64 a b_2) 3/2)) (pow.f64 b_2 3)))) a)
	56.3b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	45.5b	(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 a c)))
✓	48.7b	(/.f64 (-.f64 (neg.f64 b_2) (expm1.f64 (log1p.f64 b_2))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (neg.f64 (pow.f64 b_2 3)))) a)
✓	43.8b	(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))

Compiler

Compiled 826 to 587 computations (28.9% saved)

regimes924.0ms (8.1%)

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

326.0ms	c
249.0ms	a
234.0ms	b_2
96.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
26.0b	6	`a`
9.2b	3	`b_2`
24.3b	7	`c`
11.7b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 689 to 345 computations (49.9% saved)

bsearch182.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
164.0ms	2.2244321327995358e+50	5.152911748499289e+57
17.0ms	-2.330021487513058e-99	-2.1925414860070283e-113

Compiler

Compiled 386 to 265 computations (31.3% saved)

regimes304.0ms (2.7%)

Counts

28 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 a c)))
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 -1/2 (/.f64 a (*.f64 c (/.f64 a b_2))))
(/.f64 (*.f64 (/.f64 -1/2 a) a) (/.f64 b_2 c))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 1 (-.f64 b_2 1))) a)
(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
(.f64 (/.f64 1 a) (/.f64 -1/2 (/.f64 b_2 (.f64 a c))))
(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
(.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 a -1/2) b_2) (/.f64 1 c)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 1 (/.f64 (+.f64 b_2 2) (*.f64 (+.f64 b_2 2) b_2)))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

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

Calls

4 calls:

165.0ms	c
43.0ms	a
42.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
41.0ms	b_2

Results

Error	Segments	Branch
28.8b	3	`a`
9.2b	3	`b_2`
25.8b	11	`c`
11.7b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 286 to 150 computations (47.6% saved)

bsearch388.0ms (3.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
263.0ms	2.2244321327995358e+50	5.152911748499289e+57
125.0ms	-2.330021487513058e-99	-2.1925414860070283e-113

Compiler

Compiled 570 to 393 computations (31.1% saved)

regimes426.0ms (3.7%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 a c)))
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 -1/2 (/.f64 a (*.f64 c (/.f64 a b_2))))
(/.f64 (*.f64 (/.f64 -1/2 a) a) (/.f64 b_2 c))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 1 (-.f64 b_2 1))) a)
(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
(.f64 (/.f64 1 a) (/.f64 -1/2 (/.f64 b_2 (.f64 a c))))
(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
(.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 a -1/2) b_2) (/.f64 1 c)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 1 (/.f64 (+.f64 b_2 2) (*.f64 (+.f64 b_2 2) b_2)))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)

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

Calls

3 calls:

231.0ms	a
127.0ms	c
61.0ms	b_2

Results

Error	Segments	Branch
32.0b	9	`a`
11.4b	3	`b_2`
33.8b	5	`c`

Compiler

Compiled 257 to 135 computations (47.5% saved)

bsearch192.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
114.0ms	9.021494668168178e-14	3.638760185161215e-6
78.0ms	-6.321947650917512e-115	-1.1531499634964346e-115

Compiler

Compiled 421 to 306 computations (27.3% saved)

regimes291.0ms (2.6%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 a c)))
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 -1/2 (/.f64 a (*.f64 c (/.f64 a b_2))))
(/.f64 (*.f64 (/.f64 -1/2 a) a) (/.f64 b_2 c))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 1 (-.f64 b_2 1))) a)
(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
(.f64 (/.f64 1 a) (/.f64 -1/2 (/.f64 b_2 (.f64 a c))))
(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
(.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 a -1/2) b_2) (/.f64 1 c)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 1 (/.f64 (+.f64 b_2 2) (*.f64 (+.f64 b_2 2) b_2)))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)

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

Calls

3 calls:

170.0ms	a
74.0ms	c
39.0ms	b_2

Results

Error	Segments	Branch
30.3b	13	`a`
11.8b	3	`b_2`
34.0b	5	`c`

Compiler

Compiled 247 to 133 computations (46.2% saved)

bsearch492.0ms (4.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
174.0ms	9.021494668168178e-14	3.638760185161215e-6
318.0ms	-2.330021487513058e-99	-2.1925414860070283e-113

Compiler

Compiled 475 to 355 computations (25.3% saved)

regimes297.0ms (2.6%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 a c)))
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 -1/2 (/.f64 a (*.f64 c (/.f64 a b_2))))
(/.f64 (*.f64 (/.f64 -1/2 a) a) (/.f64 b_2 c))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 1 (-.f64 b_2 1))) a)
(.f64 (/.f64 1 a) (.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(/.f64 (/.f64 -1/2 (.f64 b_2 (/.f64 1 (.f64 a c)))) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (.f64 a c) a))
(.f64 (/.f64 1 a) (/.f64 -1/2 (/.f64 b_2 (.f64 a c))))
(/.f64 (/.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 1 c))) a)
(.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 a -1/2) b_2) (/.f64 1 c)))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 1 (/.f64 (+.f64 b_2 2) (*.f64 (+.f64 b_2 2) b_2)))) a)

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

Calls

3 calls:

170.0ms	a
60.0ms	c
47.0ms	b_2

Results

Error	Segments	Branch
34.4b	9	`a`
25.1b	2	`b_2`
38.9b	3	`c`

Compiler

Compiled 239 to 128 computations (46.4% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-5.478804100803669e-191	-4.208351299517156e-191

Compiler

Compiled 76 to 57 computations (25% saved)

regimes103.0ms (0.9%)

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)

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

Calls

3 calls:

72.0ms	a
19.0ms	c
10.0ms	b_2

Results

Error	Segments	Branch
34.4b	9	`a`
25.1b	2	`b_2`
39.0b	3	`c`

Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-5.478804100803669e-191	-4.208351299517156e-191

Compiler

Compiled 76 to 57 computations (25% saved)

regimes91.0ms (0.8%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))

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

Calls

3 calls:

50.0ms	a
28.0ms	c
11.0ms	b_2

Results

Error	Segments	Branch
34.7b	9	`a`
25.5b	2	`b_2`
39.3b	3	`c`

Compiler

Compiled 42 to 27 computations (35.7% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-5.478804100803669e-191	-4.208351299517156e-191

Compiler

Compiled 76 to 57 computations (25% saved)

regimes28.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 b_2 (/.f64 -2 a))

Outputs
(/.f64 0 a)
(*.f64 b_2 (/.f64 -2 a))

Calls

3 calls:

17.0ms	b_2
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
47.4b	1	`a`
40.8b	2	`b_2`
47.4b	1	`c`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch60.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	-2.5431779171834773e-308	9.764312720754582e-303

Compiler

Compiled 166 to 132 computations (20.5% saved)

regimes17.0ms (0.2%)

Accuracy

Total -9.9b remaining (-18.7%)

Threshold costs -9.9b (-18.7%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 1/2 b_2) c)

Outputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)

Calls

3 calls:

8.0ms	b_2
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
55.7b	1	`a`
52.8b	2	`b_2`
55.7b	1	`c`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch62.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-2.5431779171834773e-308	9.764312720754582e-303

Compiler

Compiled 157 to 123 computations (21.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
19×	`+-commutative_binary64`
15×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	324
1	103	324
2	127	324
3	154	324
4	167	324
5	173	324
6	175	324

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a))) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -643259369036029/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 -2 b_2) a))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (.f64 -1/2 c) b_2) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 -1/2 (/.f64 b_2 c)) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 0) (/.f64 0 a) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 0) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 -1/8 c) (.f64 (/.f64 c (pow.f64 b_2 3)) a))) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 c -1/8) (.f64 (/.f64 c (pow.f64 b_2 3)) a))) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 229999999999999996779283200372029593456434116296704) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -643259369036029/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -643259369036029/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -7624841658832241/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 7288990951312319/79228162514264337593543950336) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 -2 b_2) a))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (.f64 -1/2 c) b_2) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -6902644157915651/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 -1/2 (/.f64 b_2 c)) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 0) (/.f64 0 a) (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 0) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)

end127.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 473 to 296 computations (37.4% saved)