Details

analyze318.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.9s (20.8%)

Results

1.3s	5591×	body	256	valid
1.0s	1106×	body	2048	valid
497.0ms	744×	body	1024	valid
491.0ms	1617×	body	256	invalid
348.0ms	406×	body	4096	valid
192.0ms	409×	body	512	valid

preprocess76.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

551×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
441×	`associate-/r*_binary64`
321×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1483	88
5	2847	88
6	6570	88
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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4))))) (*.f64 b 2))
(.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b))
(.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))))
(.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 c 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (.f64 b a) -4 (.f64 c c)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 (*.f64 b a) -4)))) a))
(.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))))
(.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
776×	`div-sub_binary64`
405×	`times-frac_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))) a))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	33.0b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	0.7b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	1.0b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	20.8b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series30.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms	b	@	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
667×	`log-prod_binary64`
286×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	59
2	3655	59

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(fma.f64 b b (.f64 a (.f64 c -4)))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

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

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
573×	`associate-r_binary64`
570×	`times-frac_binary64`
534×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7150	1952

Stop Event

1×	node limit

Counts

257 → 235

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	20.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
1.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	b	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

rewrite250.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`fma-def_binary64`
382×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62
2	5126	59

Stop Event

1×	node limit

Counts

4 → 394

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 (pow.f64 (.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (.f64 4 (.f64 a c)) (fma.f64 4 (.f64 a c) (.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16))) (hypot.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 4 (.f64 a c)))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (fma.f64 b b (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (fma.f64 b b (.f64 (.f64 a c) -4)))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (fma.f64 b b (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3)) (fma.f64 b b (-.f64 (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (.f64 (exp.f64 b) (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b 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(.f64 b (/.f64 1/2 a))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (/.f64 b 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 b (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 2) (/.f64 (sqrt.f64 b) a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 a) (/.f64 b 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 2) (/.f64 (cbrt.f64 b) a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 b a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (.f64 a 2)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (.f64 a 2)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (cbrt.f64 b) (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (.f64 a 2))) (/.f64 (sqrt.f64 b) (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (.f64 a 2))) (/.f64 b (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))))

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
706×	`fma-def_binary64`
596×	`associate-r_binary64`
579×	`times-frac_binary64`
561×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7491	2000

Stop Event

1×	node limit

Counts

490 → 470

Calls

Call 1

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

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

eval426.0ms (2.2%)

Compiler: Compiled 19038 to 11081 computations (41.8% saved)

prune153.0ms (0.8%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	676	29	705
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	678	29	707

Error

5.0b

Counts

707 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
▶	44.5b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) a))
	42.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	45.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	33.6b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	53.6b	(.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))) (/.f64 -1/2 a))
	43.3b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	54.3b	(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
▶	45.5b	(/.f64 (neg.f64 b) a)
	45.6b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	46.1b	(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
	33.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
▶	32.1b	(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	43.4b	(.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 -1/2 a))
	51.5b	(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	51.9b	(/.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) (*.f64 2 a))
	56.7b	(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
	45.7b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
	33.9b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) b) (/.f64 -1/2 a))
	45.4b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
▶	57.3b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
▶	30.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	51.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
	60.2b	(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	44.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
	40.7b	(/.f64 (neg.f64 c) b)
	57.6b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	41.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
	42.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))

Compiler

Compiled 1138 to 772 computations (32.2% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	0.1b	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
✓	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	10.1b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series124.0ms (0.6%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
11.0ms	c	@	-inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
11.0ms	a	@	0	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
10.0ms	c	@	-inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
7.0ms	c	@	-inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
689×	`prod-diff_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	323	66
2	4237	66

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 c -4)))
(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-/r*_binary64`
635×	`unswap-sqr_binary64`
417×	`associate-*l/_binary64`
367×	`associate-*r/_binary64`
246×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	1823
1	673	1443
2	2785	1382
3	7170	1375

Stop Event

1×	node limit

Counts

211 → 240

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -4) b))))) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
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(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (.f64 16 (.f64 c c)))) (fma.f64 1/4 (.f64 c (.f64 a (.f64 -4 (.f64 (.f64 c (.f64 a a)) -1/2)))) (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 c (.f64 -4 (.f64 (.f64 (.f64 c (.f64 a a)) -1/2) a))) (.f64 c (.f64 c (pow.f64 a 3))))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 a b) (-.f64 (.f64 -2 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 c (.f64 -4 (.f64 (.f64 (.f64 c (.f64 a a)) -1/2) a))) (.f64 c (.f64 c (pow.f64 a 3))))) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)))) (/.f64 b c)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 -4) (.f64 -1/2 (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(fma.f64 1/16 (.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (/.f64 c b)) (/.f64 b a))
(fma.f64 1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (.f64 1 c) b)) (/.f64 b a)) (.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (*.f64 a -64)))))
(+.f64 (-.f64 (fma.f64 1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (/.f64 c b)) (/.f64 b a)) (.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64)))))
(fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) (fma.f64 1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (-.f64 (/.f64 c b) (/.f64 b a))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 -1 c) b))
(fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (/.f64 (neg.f64 c) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (*.f64 a -64))))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))))
(fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64)))))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))) (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (/.f64 (neg.f64 c) b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.6b	(+.f64 b (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))
✓	4.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
✓	5.5b	(.f64 (/.f64 c b) (.f64 a 2))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series47.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
34.0ms	a	@	0	(.f64 (/.f64 c b) (.f64 a 2))
1.0ms	c	@	0	(.f64 (/.f64 c b) (.f64 a 2))
1.0ms	b	@	inf	(.f64 (/.f64 c b) (.f64 a 2))
1.0ms	a	@	inf	(.f64 (/.f64 c b) (.f64 a 2))
1.0ms	c	@	inf	(.f64 (/.f64 c b) (.f64 a 2))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
544×	`fma-def_binary64`
320×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	301	44
2	4372	44

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

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simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

Stop Event

1×

saturated

Counts

300 → 196

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 a c) -4)
✓	0.3b	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
✓	1.0b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
✓	10.1b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 66 to 34 computations (48.5% saved)

series78.0ms (0.4%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
51.0ms	a	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
2.0ms	a	@	-inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	a	@	inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	c	@	inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	c	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))

rewrite305.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`prod-diff_binary64`
639×	`log-prod_binary64`
322×	`pow2_binary64`
243×	`fma-def_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	243	49
2	3342	49

Stop Event

1×	node limit

Counts

4 → 314

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 a c) -4))
(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
(.f64 (.f64 a c) -4)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (.f64 (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (fma.f64 (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 1 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (+.f64 (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (fma.f64 -1 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 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(.f64 c -4))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (pow.f64 (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 2)) (-.f64 b (neg.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (fma.f64 b b (.f64 a (.f64 c -4))))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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(sqrt.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 a) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 16 (pow.f64 (.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -4))) 1))))))

simplify203.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

924×	`times-frac_binary64`
682×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
495×	`fma-def_binary64`
470×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1263
1	410	1059
2	1503	1018
3	6437	992
4	7923	992

Stop Event

1×	node limit

Counts

362 → 363

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 b b) -1/2) (sqrt.f64 -4)) b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(+.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 b b) -1/2) (sqrt.f64 -4)) b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(/.f64 (*.f64 c -1/2) (/.f64 (/.f64 b a) -4))
(*.f64 (/.f64 2 (/.f64 b c)) a)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
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(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	2.7b	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
	10.1b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 82 to 53 computations (35.4% saved)

series13.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
1.0ms	c	@	inf	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
1.0ms	c	@	inf	(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
1.0ms	a	@	inf	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
1.0ms	a	@	inf	(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
671×	`prod-diff_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	306	36
2	3828	36

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

919×	`times-frac_binary64`
682×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
490×	`associate-/r*_binary64`
460×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1110
1	412	913
2	1527	864
3	6563	840

Stop Event

1×	node limit

Counts

130 → 149

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 b 2 (/.f64 (*.f64 1/2 c) (/.f64 (/.f64 b a) -4)))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (*.f64 c -4))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 (.f64 1/2 c) (/.f64 (/.f64 b a) -4))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 b 2 (fma.f64 1/2 (.f64 (.f64 a -4) (/.f64 c b)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c a))) -2) (pow.f64 b 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (fma.f64 b 2 (/.f64 (.f64 1/2 c) (/.f64 (/.f64 b a) -4)))))
(fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (fma.f64 1/2 (.f64 (.f64 a -4) (/.f64 c b)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c a))) -2) (pow.f64 b 3)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(.f64 (/.f64 -1/2 b) (.f64 a (*.f64 c -4)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a 16)))))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (.f64 (.f64 (.f64 a (.f64 a 16)) (/.f64 (*.f64 c c) (pow.f64 b 3))) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) -1/16)))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 a (.f64 a 16)) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/8 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64)) -1/16))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (.f64 1/2 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2))) (pow.f64 b 7)))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (pow.f64 b 7)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) -1/16))))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 a (.f64 a 16)) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/8 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64)) -1/16)))))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 a (.f64 a 16)) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/8 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64)) -1/16)))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) -1/4))))
(fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) -1/4)))))
(+.f64 (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 (*.f64 c c) (pow.f64 b 3))) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) (neg.f64 (/.f64 b a))) (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (.f64 1 c) b)))
(-.f64 (fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/32 (.f64 (.f64 (.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 (/.f64 -1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 (.f64 a a) -64)) (-.f64 (/.f64 c b) (/.f64 b a))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4)
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 -1 c) b))
(fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 (neg.f64 c) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) 1/32)))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) 1/32 (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))))))
(fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 (.f64 (.f64 (.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/32 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) 1/32))))
(fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) 1/32 (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16)))))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 (.f64 (.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/32 (/.f64 (neg.f64 c) b))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 (.f64 (.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/32 (/.f64 (neg.f64 c) b))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

eval753.0ms (4%)

Compiler: Compiled 32750 to 20200 computations (38.3% saved)

prune272.0ms (1.4%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1026	20	1046
Fresh	9	15	24
Picked	1	0	1
Done	2	2	4
Total	1038	37	1075

Error

2.6b

Counts

1075 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	60.2b	(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	32.4b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.6b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) a))
	33.4b	(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) 2)) (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))) (/.f64 -1/2 a))
	42.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	57.3b	(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))
	45.5b	(/.f64 1 (/.f64 (neg.f64 a) b))
	45.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
	54.3b	(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
▶	32.2b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2)))
✓	45.5b	(/.f64 (neg.f64 b) a)
	45.6b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	57.9b	(*.f64 1/2 (/.f64 2 (/.f64 b c)))
	62.2b	(.f64 1/2 (/.f64 (.f64 b 2) a))
	46.1b	(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
▶	33.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	51.5b	(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	57.4b	(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
	58.2b	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
✓	30.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
▶	46.5b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	51.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
	52.5b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) a))
▶	40.7b	(/.f64 (neg.f64 c) b)
	46.9b	(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a -4) c (.f64 b b))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	41.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
	46.0b	(/.f64 1 (-.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)) (/.f64 b c)))
	57.4b	(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
	42.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	50.7b	(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))))
▶	44.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
	56.7b	(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
	45.7b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
	47.9b	(.f64 (exp.f64 (log.f64 (.f64 b 2))) (/.f64 -1/2 a))

Compiler

Compiled 1326 to 939 computations (29.2% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2))
✓	0.5b	(+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))
✓	2.7b	(exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))
	10.1b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 112 to 75 computations (33% saved)

series29.0ms (0.2%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))
4.0ms	c	@	inf	(/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2))
2.0ms	a	@	inf	(/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2))
1.0ms	a	@	-inf	(/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2))
1.0ms	c	@	-inf	(/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
680×	`prod-diff_binary64`
272×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	306	51
2	3938	51

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))

(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))

(/.f64 a (*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) -1/2))

Outputs

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-/l*_binary64`
812×	`fma-def_binary64`
601×	`associate-/r*_binary64`
412×	`unswap-sqr_binary64`
305×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1815
1	523	1446
2	2207	1375
3	7381	1372

Stop Event

1×	node limit

Counts

183 → 142

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 a) c)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4)) (fma.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 a) c)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -4)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 b 2 (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) -64)) (pow.f64 b 5)) (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(/.f64 (.f64 (.f64 -1/2 c) (*.f64 a -4)) b)
(.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (/.f64 (.f64 (.f64 1/8 (.f64 c c)) (.f64 a (*.f64 a 16))) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (*.f64 a a) 16)) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)) (pow.f64 b 5)) -1/16)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 16)) 1/8 (.f64 (/.f64 (.f64 -1/16 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (pow.f64 b 7)) (.f64 (/.f64 (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)) (pow.f64 b 5)) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 16)) 1/8 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (.f64 (/.f64 (.f64 -1/16 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 a) c)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4)) (fma.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 a) c)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(*.f64 2 b)
(*.f64 b 2)
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(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (.f64 (.f64 c c) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (.f64 16 (.f64 c c)))) (fma.f64 1/4 (.f64 c (.f64 a (.f64 -4 (.f64 (.f64 c (.f64 a a)) -1/2)))) (.f64 (.f64 (pow.f64 a 3) (.f64 c c)) 1))) (pow.f64 b 5)) (.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (fma.f64 -1 (/.f64 b c) (fma.f64 -2 (/.f64 (fma.f64 c (.f64 (.f64 -4 (.f64 (.f64 (.f64 c (.f64 a a)) -1/2) a)) 1/4) (fma.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c)) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 a b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (fma.f64 -2 (/.f64 (fma.f64 c (.f64 (.f64 -4 (.f64 (.f64 (.f64 c (.f64 a a)) -1/2) a)) 1/4) (fma.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c)) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 a b)) (/.f64 b c)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)

localize8.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.5b	(.f64 (/.f64 c b) (.f64 a 2))
✓	8.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
433×	`pow-prod-down_binary64`
311×	`pow2_binary64`
264×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	240	13
2	3156	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
1	10	216
2	17	216
3	23	216
4	29	216
5	37	216
6	45	216
7	55	216
8	63	216
9	77	216

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize81.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
✓	0.6b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
✓	1.0b	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
✓	20.8b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
1.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
1.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))
1.0ms	c	@	inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
583×	`fma-def_binary64`
314×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	311	59
2	4330	59

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))
(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))

Outputs
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simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
573×	`associate-r_binary64`
570×	`times-frac_binary64`
534×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7150	1952

Stop Event

1×	node limit

Counts

294 → 272

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
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(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))))
(fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))))))
(+.f64 (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
✓	0.1b	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))
✓	0.1b	(.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))
✓	0.5b	(+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))

Compiler

Compiled 90 to 55 computations (38.9% saved)

series54.0ms (0.3%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
17.0ms	c	@	inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
13.0ms	a	@	-inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))
4.0ms	a	@	-inf	(+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))
2.0ms	a	@	-inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
2.0ms	c	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log-prod_binary64`
617×	`prod-diff_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	342	66
2	4416	66

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))
(.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))
(/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))
(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-/r*_binary64`
635×	`unswap-sqr_binary64`
417×	`associate-*l/_binary64`
367×	`associate-*r/_binary64`
246×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	1823
1	673	1443
2	2785	1382
3	7170	1375

Stop Event

1×	node limit

Counts

200 → 229

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -4) b))))) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -4)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (.f64 c a) -4))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -4)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b)
(/.f64 (.f64 (.f64 c (*.f64 a -4)) -1/2) b)
(.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 (.f64 -1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (/.f64 (.f64 (.f64 1/8 (.f64 c c)) (.f64 a (*.f64 a 16))) (pow.f64 b 3)))
(fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (*.f64 a a) 16)) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 16)) 1/8 (fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (.f64 (/.f64 -1/16 (pow.f64 b 5)) (.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (.f64 1/2 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2))) (pow.f64 b 7)))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) -1/16 (/.f64 (.f64 1/2 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) 2))) (pow.f64 b 7)))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 16)) 1/8 (fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (.f64 (/.f64 -1/16 (pow.f64 b 5)) (.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3)))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 -1/2 (.f64 b b))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))))
(fma.f64 2 (.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 -1/2 (.f64 b b))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 16 (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))))
(fma.f64 2 (.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 (/.f64 1/32 a) (.f64 c c)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 16)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
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(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

eval846.0ms (4.4%)

Compiler: Compiled 18186 to 12190 computations (33% saved)

prune356.0ms (1.9%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	735	10	745
Fresh	10	20	30
Picked	0	1	1
Done	1	5	6
Total	746	36	782

Error

2.6b

Counts

782 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶	32.4b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	60.2b	(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.6b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) a))
	33.4b	(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) 2)) (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))) (/.f64 -1/2 a))
	42.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
▶	57.3b	(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))
▶	45.5b	(/.f64 1 (/.f64 (neg.f64 a) b))
	54.3b	(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
✓	32.2b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2)))
✓	45.5b	(/.f64 (neg.f64 b) a)
	57.9b	(*.f64 1/2 (/.f64 2 (/.f64 b c)))
	62.2b	(.f64 1/2 (/.f64 (.f64 b 2) a))
	46.1b	(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
✓	33.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	51.5b	(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	45.6b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	50.7b	(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))))
	46.0b	(/.f64 1 (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))))
	45.7b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	41.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2))) (/.f64 -1/2 a))
✓	30.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	46.5b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	45.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	52.5b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) a))
	51.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
✓	40.7b	(/.f64 (neg.f64 c) b)
	45.8b	(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
	56.7b	(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
▶	58.2b	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
	47.9b	(.f64 (exp.f64 (log.f64 (.f64 b 2))) (/.f64 -1/2 a))
	46.9b	(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a -4) c (.f64 b b))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
▶	46.0b	(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))

Compiler

Compiled 1215 to 862 computations (29.1% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	3.0b	(pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
	10.1b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 89 to 60 computations (32.6% saved)

series119.0ms (0.6%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
43.0ms	b	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
13.0ms	a	@	inf	(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
11.0ms	c	@	inf	(pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
7.0ms	c	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
6.0ms	a	@	-inf	(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod_binary64`
671×	`prod-diff_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
250×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	354	36
2	4174	36

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs

(pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))

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

Outputs

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-/r*_binary64`
689×	`associate-/l*_binary64`
461×	`distribute-rgt-in_binary64`
456×	`distribute-lft-in_binary64`
330×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2629
1	702	1749
2	3061	1376

Stop Event

1×	node limit

Counts

127 → 148

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/6 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(exp.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))) (/.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))))) (exp.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 6)))))
(exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (pow.f64 b 4))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (+.f64 (.f64 1/720 (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 -720 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))))))))) (pow.f64 b 6)) (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (pow.f64 b 4)))))
(*.f64 2 b)
(*.f64 2 b)
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/6 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a)) (.f64 -1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))) (.f64 -1/2 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 a (pow.f64 b 4))))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 a (pow.f64 b 4)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))))) (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b)))))) (*.f64 a (pow.f64 b 6)))))))
(.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (.f64 a (pow.f64 b 4)))) (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (.f64 a (pow.f64 b 4)))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))) (.f64 -1/2 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (+.f64 (.f64 1/720 (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 -720 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))))))))) (*.f64 a (pow.f64 b 6)))))))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 b b)) (/.f64 (sqrt.f64 -4) 1/2)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/6 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 3) (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1))))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 (.f64 (sqrt.f64 -4) (pow.f64 b 3)) 1/6) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1)))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 b 3) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))) 0) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 b b)) (/.f64 (sqrt.f64 -4) 1/2))))
(exp.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b)))))
(*.f64 2 (exp.f64 (log.f64 b)))
(*.f64 b 2)
(+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b b))))
(fma.f64 2 (exp.f64 (log.f64 b)) (/.f64 (.f64 c 1/4) (/.f64 (/.f64 (.f64 b b) (*.f64 -8 (exp.f64 (log.f64 b)))) a)))
(fma.f64 1/4 (.f64 (.f64 (/.f64 c (.f64 b b)) (.f64 -8 b)) a) (*.f64 b 2))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (/.f64 (pow.f64 b 4) (fma.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -9/4) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 1/32)))) (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b)))))) (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b b))))
(+.f64 (fma.f64 2 (exp.f64 (log.f64 b)) (/.f64 (.f64 c 1/4) (/.f64 (/.f64 (.f64 b b) (.f64 -8 (exp.f64 (log.f64 b)))) a))) (.f64 (/.f64 (.f64 2 (exp.f64 (log.f64 b))) (pow.f64 b 4)) (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) -36) (.f64 (.f64 (.f64 c a) (*.f64 c a)) 1/2))))
(+.f64 (fma.f64 1/4 (.f64 (.f64 (/.f64 c (.f64 b b)) (.f64 -8 b)) a) (.f64 b 2)) (.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) -1/16) (pow.f64 b 4)) (.f64 b 2)))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 2))) (/.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))))) (exp.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 6)))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (/.f64 (pow.f64 b 4) (fma.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -9/4) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 1/32)))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (fma.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b b)) (/.f64 (fma.f64 1/720 (fma.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 135/4)) (fma.f64 1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -9/4))))))) (/.f64 (pow.f64 b 6) (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))))))))
(+.f64 (.f64 (/.f64 (.f64 2 (exp.f64 (log.f64 b))) (pow.f64 b 4)) (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) -36) (.f64 (.f64 (.f64 c a) (.f64 c a)) 1/2))) (fma.f64 2 (exp.f64 (log.f64 b)) (fma.f64 1/4 (.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 -8 (exp.f64 (log.f64 b)))) b)) (.f64 (/.f64 (fma.f64 1/720 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) -64)) 75/2) (fma.f64 1/96 (.f64 c (.f64 a (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 9))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -1/6))) (pow.f64 b 6)) (*.f64 2 (exp.f64 (log.f64 b)))))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) -1/16) (pow.f64 b 4)) (.f64 b 2)) (fma.f64 2 b (fma.f64 1/4 (.f64 (.f64 (/.f64 c (.f64 b b)) (.f64 -8 b)) a) (.f64 (/.f64 (.f64 b 2) (pow.f64 b 6)) (fma.f64 1/720 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -2400) (fma.f64 1/96 (.f64 a (.f64 c (.f64 -4 (.f64 (.f64 c (.f64 c (.f64 a a))) -36)))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -1/6)))))))
(exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))
(.f64 (.f64 (*.f64 c a) -2) (/.f64 -1 b))
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(fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) a) (fma.f64 -1/8 (/.f64 c (/.f64 (.f64 b b) (.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/2 (+.f64 (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) a) (/.f64 (fma.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -9/4) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 1/32)) (pow.f64 b 4))) (.f64 (/.f64 (fma.f64 1/720 (fma.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 135/4)) (fma.f64 1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -9/4))))))) a) (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) (pow.f64 b 6)))))))
(+.f64 (/.f64 (.f64 -1 (exp.f64 (log.f64 b))) a) (+.f64 (fma.f64 -1/8 (.f64 (/.f64 c (.f64 b b)) (.f64 -8 (exp.f64 (log.f64 b)))) (.f64 (/.f64 (.f64 -1 (exp.f64 (log.f64 b))) a) (/.f64 (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) -36) (.f64 (.f64 (.f64 c a) (.f64 c a)) 1/2)) (pow.f64 b 4)))) (/.f64 (.f64 (.f64 -1 (exp.f64 (log.f64 b))) (fma.f64 1/720 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) -64)) 75/2) (fma.f64 1/96 (.f64 c (.f64 a (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 9))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -1/6)))) (*.f64 a (pow.f64 b 6)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 c (.f64 b b)) (.f64 -8 b)) (/.f64 (neg.f64 b) a)) (.f64 -1/2 (.f64 (/.f64 b (/.f64 a 2)) (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) -1/16) (pow.f64 b 4)) (/.f64 (fma.f64 1/720 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -2400) (fma.f64 1/96 (.f64 a (.f64 c (.f64 -4 (.f64 (.f64 c (.f64 c (.f64 a a))) -36)))) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -1/6))) (pow.f64 b 6))))))
(.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a))
(.f64 -1/2 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) a))
(.f64 -1/2 (/.f64 (.f64 c a) (/.f64 (*.f64 (/.f64 a -1) b) -2)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))))
(fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a) (.f64 1/8 (/.f64 c (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 -4) 2) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) a) (.f64 1/8 (/.f64 (.f64 c (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b))) (/.f64 (*.f64 b b) -4))))
(fma.f64 -1/2 (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2)) (.f64 1/8 (.f64 (/.f64 (.f64 c (.f64 (*.f64 c a) -2)) (/.f64 b (/.f64 -1 b))) (/.f64 -4 b))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (.f64 a (pow.f64 b 4)))) (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 9/4))) a) (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 b 4))) (.f64 1/8 (/.f64 c (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 -4) 2) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) a) (fma.f64 1/8 (/.f64 (.f64 c (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b))) (/.f64 (.f64 b b) -4)) (/.f64 (.f64 (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) 36) (.f64 (.f64 (.f64 c a) (.f64 c a)) 1/2)) -1/2) (.f64 (/.f64 a (.f64 (.f64 c a) -2)) (/.f64 (pow.f64 b 4) (/.f64 -1 b))))))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 c (.f64 (.f64 c a) -2)) (/.f64 b (/.f64 -1 b))) (/.f64 -4 b))) (.f64 -1/2 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 1/8) (pow.f64 b 4)) 1) (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))) (.f64 a (pow.f64 b 4)))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 2))) (.f64 -1/2 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (+.f64 (.f64 1/720 (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 -720 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))))))))) (*.f64 a (pow.f64 b 6)))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 9/4))) a) (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) (pow.f64 b 4))) (fma.f64 1/8 (/.f64 c (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 -4) 2) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b))))))) (.f64 -1/2 (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (log.f64 (/.f64 -1 b)))) a) (/.f64 (fma.f64 1/720 (fma.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (fma.f64 -720 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) -15/4))) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 -1/96 (.f64 c (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 9/4)))))) (pow.f64 b 6)))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) a) (fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) a) (/.f64 (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) 36) (.f64 (.f64 (.f64 c a) (.f64 c a)) 1/2)) (pow.f64 b 4))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b)) (.f64 a (pow.f64 b 6))) (fma.f64 1/720 (+.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -1440) (fma.f64 -720 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 a -4))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 240))) (fma.f64 -1/96 (.f64 c (.f64 a (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) -9))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 1/6)))) (.f64 1/8 (/.f64 (.f64 c (.f64 (.f64 (.f64 c a) -2) (/.f64 -1 b))) (/.f64 (*.f64 b b) -4))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 1/8) (pow.f64 b 4)) 1) (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2))) (.f64 (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2)) (/.f64 (fma.f64 1/720 (+.f64 (.f64 (/.f64 180 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) c)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -1200)) (fma.f64 -1/96 (.f64 a (.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) -9) c)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 1/6))) (pow.f64 b 6))))) (.f64 1/8 (.f64 (/.f64 (.f64 c (.f64 (*.f64 c a) -2)) (/.f64 b (/.f64 -1 b))) (/.f64 -4 b))))
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) a))
(/.f64 (*.f64 -1 (exp.f64 (log.f64 b))) a)
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 b))))) a))
(/.f64 (*.f64 -1 (exp.f64 (log.f64 b))) a)
(/.f64 (neg.f64 b) a)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (neg.f64 a) b))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series127.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
124.0ms	b	@	0	(/.f64 1 (/.f64 (neg.f64 a) b))
1.0ms	a	@	0	(/.f64 1 (/.f64 (neg.f64 a) b))
1.0ms	b	@	-inf	(/.f64 1 (/.f64 (neg.f64 a) b))
1.0ms	b	@	inf	(/.f64 1 (/.f64 (neg.f64 a) b))
1.0ms	a	@	inf	(/.f64 1 (/.f64 (neg.f64 a) b))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	4
2	2063	4

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (neg.f64 a) b))

Outputs

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

61 → 38

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (/.f64 2 b))
✓	4.6b	(.f64 c (.f64 a (/.f64 2 b)))
✓	8.6b	(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series46.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	a	@	0	(.f64 c (.f64 a (/.f64 2 b)))
1.0ms	b	@	0	(*.f64 a (/.f64 2 b))
1.0ms	a	@	0	(*.f64 a (/.f64 2 b))
1.0ms	a	@	-inf	(*.f64 a (/.f64 2 b))
1.0ms	a	@	inf	(*.f64 a (/.f64 2 b))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
427×	`pow-prod-down_binary64`
308×	`pow2_binary64`
271×	`pow-unpow_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	241	33
2	3071	33

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify217.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
17×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	744
1	26	744
2	48	744
3	78	744
4	108	744
5	120	744
6	128	744
7	149	744
8	235	744
9	335	744

Stop Event

1×

saturated

Counts

185 → 94

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))
✓	2.0b	(fma.f64 (/.f64 c b) (+.f64 a a) b)
✓	2.6b	(-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b)
✓	4.3b	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))

Compiler

Compiled 74 to 19 computations (74.3% saved)

series44.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))
3.0ms	a	@	inf	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))
3.0ms	a	@	0	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))
3.0ms	b	@	-inf	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))
2.0ms	a	@	-inf	(/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`log-prod_binary64`
688×	`prod-diff_binary64`
312×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	293	65
2	4318	65

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1124×	`fma-neg_binary64`
730×	`fma-def_binary64`
702×	`div-sub_binary64`
401×	`associate-/r*_binary64`
347×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	1143
1	30	1143
2	55	1143
3	94	1143
4	139	1143
5	175	1143
6	192	1143
7	224	1143
8	341	1143
9	519	1143
10	690	1143
11	1393	1143
12	2480	1143
13	5411	1143
14	7367	1143

Stop Event

1×	node limit

Counts

370 → 235

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(fma.f64 (/.f64 c b) (+.f64 a a) b)
	2.6b	(-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b)
✓	4.2b	(*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a))
✓	13.0b	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)

Compiler

Compiled 84 to 27 computations (67.9% saved)

series37.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
4.0ms	c	@	0	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
4.0ms	b	@	0	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
4.0ms	c	@	-inf	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
3.0ms	b	@	-inf	(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)

rewrite191.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
670×	`prod-diff_binary64`
317×	`fma-def_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	352	40
2	4538	40

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
(*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a))

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
9×	`sub-neg_binary64`
8×	`fma-neg_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	516
1	16	516
2	25	516
3	34	516
4	41	516
5	49	516
6	57	516
7	71	516
8	100	516
9	133	516

Stop Event

1×

saturated

Counts

183 → 74

Calls

Call 1

Inputs
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

eval431.0ms (2.3%)

Compiler: Compiled 20960 to 10799 computations (48.5% saved)

prune198.0ms (1%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	810	14	824
Fresh	9	16	25
Picked	1	0	1
Done	3	7	10
Total	823	37	860

Error

2.6b

Counts

860 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
	62.6b	(pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)
	44.6b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) a))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	45.6b	(*.f64 (/.f64 1 a) (neg.f64 b))
	42.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
✓	45.5b	(/.f64 1 (/.f64 (neg.f64 a) b))
	62.2b	(*.f64 (/.f64 1 a) b)
	62.9b	(exp.f64 (log.f64 (/.f64 b a)))
✓	45.5b	(/.f64 (neg.f64 b) a)
✓	33.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	51.4b	(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 c (.f64 (.f64 c a) -2)) (/.f64 b (/.f64 -1 b))) (/.f64 -4 b))) (.f64 -1/2 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 1/8) (pow.f64 b 4)) 1) (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2)))))
	57.9b	(*.f64 1/2 (/.f64 2 (/.f64 b c)))
	46.1b	(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
	58.2b	(/.f64 1 (/.f64 a (*.f64 (fma.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (+.f64 a a) (-.f64 b b)) -1/2)))
	46.0b	(/.f64 1 (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))))
	56.4b	(pow.f64 (pow.f64 (.f64 (.f64 a (*.f64 c (/.f64 2 b))) (/.f64 -1/2 a)) 3) 1/3)
	45.8b	(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
	62.3b	(cbrt.f64 (pow.f64 (/.f64 b a) 3))
	62.2b	(*.f64 (/.f64 b a) 1)
	47.9b	(.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a))
	45.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (cbrt.f64 b) a))
	41.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2))) (/.f64 -1/2 a))
✓	30.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	46.5b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	45.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	52.5b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) a))
	51.8b	(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
✓	40.7b	(/.f64 (neg.f64 c) b)
	47.9b	(.f64 (exp.f64 (log.f64 (.f64 b 2))) (/.f64 -1/2 a))
	44.2b	(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
	48.0b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 b 2))) (/.f64 -1/2 a))
	46.9b	(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a -4) c (.f64 b b))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	53.6b	(.f64 (.f64 c (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a (/.f64 2 b)))) 1/3))) (/.f64 -1/2 a))
	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓	46.0b	(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))

Compiler

Compiled 602 to 432 computations (28.2% saved)

regimes1.6s (8.4%)

Counts

75 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 2 (/.f64 b c)))
(.f64 1/2 (/.f64 (.f64 b 2) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (fma.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (+.f64 a a) (-.f64 b b)) -1/2)))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 c (.f64 (.f64 c a) -2)) (/.f64 b (/.f64 -1 b))) (/.f64 -4 b))) (.f64 -1/2 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (.f64 c c))) 1/8) (pow.f64 b 4)) 1) (/.f64 (.f64 c a) (/.f64 (.f64 (/.f64 a -1) b) -2)))))
(exp.f64 (log.f64 (/.f64 b a)))
(cbrt.f64 (pow.f64 (/.f64 b a) 3))
(pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)
(.f64 (exp.f64 (log.f64 (.f64 b 2))) (/.f64 -1/2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) a))
(pow.f64 (pow.f64 (.f64 (.f64 a (*.f64 c (/.f64 2 b))) (/.f64 -1/2 a)) 3) 1/3)
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
(.f64 (.f64 c (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a (/.f64 2 b)))) 1/3))) (/.f64 -1/2 a))
(/.f64 1 (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))))
(/.f64 1 (-.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)) (/.f64 b c)))
(/.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) (*.f64 2 a))
(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (cbrt.f64 b) a))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 b 2))) (/.f64 -1/2 a))
(.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 b))))) a))
(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) a))
(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2))) (/.f64 -1/2 a))
(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) a))
(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) (/.f64 -1/2 a)) 3) 1/3)
(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a -4) c (.f64 b b))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))) -1/2)))
(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a 16))) c) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) b) (/.f64 -1/2 a))
(.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))) (/.f64 -1/2 a))
(.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 -1/2 a))
(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) 2)) (cbrt.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))) (/.f64 -1/2 a))

Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

4 calls:

519.0ms	c
515.0ms	a
398.0ms	b
129.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
21.4b	10	`a`
9.3b	3	`b`
24.2b	7	`c`
12.2b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 1173 to 684 computations (41.7% saved)

bsearch302.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
75.0ms	8.455584532333655e+75	1.3074357115336533e+83
226.0ms	-3.4013418673369234e-44	-2.9819211928165526e-47

Compiler

Compiled 546 to 385 computations (29.5% saved)

regimes471.0ms (2.5%)

Counts

34 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 2 (/.f64 b c)))
(.f64 1/2 (/.f64 (.f64 b 2) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))

Outputs
(/.f64 (neg.f64 c) b)
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

3 calls:

226.0ms	a
147.0ms	c
87.0ms	b

Results

Error	Segments	Branch
28.2b	7	`a`
9.3b	3	`b`
28.6b	7	`c`

Compiler

Compiled 350 to 191 computations (45.4% saved)

bsearch442.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	8.673004460222057e+60	4.043103110094599e+61
368.0ms	-3.4013418673369234e-44	-2.9819211928165526e-47

Compiler

Compiled 436 to 305 computations (30% saved)

regimes396.0ms (2.1%)

Counts

33 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 2 (/.f64 b c)))
(.f64 1/2 (/.f64 (.f64 b 2) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (fma.f64 (/.f64 c b) (+.f64 a a) b) b) -1/2)))

Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

3 calls:

178.0ms	c
130.0ms	a
78.0ms	b

Results

Error	Segments	Branch
33.0b	7	`a`
11.3b	3	`b`
33.0b	8	`c`

Compiler

Compiled 334 to 182 computations (45.5% saved)

bsearch461.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
155.0ms	8.460666844606442e-51	7.307638497221289e-48
306.0ms	-3.4013418673369234e-44	-2.9819211928165526e-47

Compiler

Compiled 450 to 331 computations (26.4% saved)

regimes661.0ms (3.5%)

Counts

31 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 2 (/.f64 b c)))
(.f64 1/2 (/.f64 (.f64 b 2) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))

Outputs
(/.f64 (neg.f64 c) b)
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

3 calls:

300.0ms	c
194.0ms	a
157.0ms	b

Results

Error	Segments	Branch
33.0b	7	`a`
11.3b	3	`b`
33.0b	8	`c`

Compiler

Compiled 305 to 167 computations (45.2% saved)

bsearch320.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	8.460666844606442e-51	7.307638497221289e-48
183.0ms	-3.4013418673369234e-44	-2.9819211928165526e-47

Compiler

Compiled 434 to 315 computations (27.4% saved)

regimes291.0ms (1.5%)

Counts

29 → 2

Calls

Call 1

Inputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 2 (/.f64 b c)))
(.f64 1/2 (/.f64 (.f64 b 2) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(.f64 (.f64 c (*.f64 a (/.f64 2 b))) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 a (*.f64 c (/.f64 2 b))) -1/2)))
(.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 c (*.f64 a (/.f64 2 b))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -4)) -1/2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (/.f64 1 (/.f64 b (.f64 c (+.f64 a a)))) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))

Outputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

3 calls:

125.0ms	c
115.0ms	a
41.0ms	b

Results

Error	Segments	Branch
36.5b	7	`a`
23.5b	2	`b`
34.1b	7	`c`

Compiler

Compiled 281 to 151 computations (46.3% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	1.2120287109287826e-209	1.564585439935426e-209

Compiler

Compiled 98 to 67 computations (31.6% saved)

regimes126.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 c) b)
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

3 calls:

64.0ms	c
41.0ms	a
17.0ms	b

Results

Error	Segments	Branch
38.4b	5	`a`
23.7b	2	`b`
34.5b	7	`c`

Compiler

Compiled 107 to 57 computations (46.7% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-4.1769539250629743e-302	-5.5052475950152104e-303

Compiler

Compiled 140 to 97 computations (30.7% saved)

regimes93.0ms (0.5%)

Accuracy

Total -39.3b remaining (-165%)

Threshold costs -39.3b (-165%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)

Calls

3 calls:

50.0ms	c
29.0ms	a
12.0ms	b

Results

Error	Segments	Branch
38.4b	5	`a`
23.8b	2	`b`
34.5b	7	`c`

Compiler

Compiled 64 to 38 computations (40.6% saved)

bsearch79.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
79.0ms	-8.124916573528089e-277	-4.397911199559595e-280

Compiler

Compiled 154 to 115 computations (25.3% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`+-commutative_binary64`
23×	`*-commutative_binary64`
19×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	275
1	102	275
2	132	275
3	165	275
4	183	275
5	192	275
6	195	275

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8499999999999999275154512233903298628452196557872814384094807456708527390720) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8799999999999999840056329155443342240937269986817035919687680) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 578358058743443/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -4323778604587324/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -2299208036583997/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)

Outputs
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8499999999999999275154512233903298628452196557872814384094807456708527390720) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8499999999999999275154512233903298628452196557872814384094807456708527390720) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8499999999999999275154512233903298628452196557872814384094807456708527390720) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) -4)))) (.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 8799999999999999840056329155443342240937269986817035919687680) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6170642089954523/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 c) b) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 578358058743443/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -4323778604587324/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -1080944651146831/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -2299208036583997/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)

Compiler

Compiled 209 to 134 computations (35.9% saved)

soundness510.0ms (2.7%)

Algorithm

3×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
806×	`associate-/r*_binary64`
776×	`div-sub_binary64`
708×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7491	2000
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	217	1823
1	673	1443
2	2785	1382
3	7170	1375

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 440 to 316 computations (28.2% saved)

end76.0ms (0.4%)

Compiler: Compiled 188 to 83 computations (55.9% saved)

Iter	Nodes	Cost
0	11	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

Iter	Nodes	Cost
0	13	744
1	26	744
2	48	744
3	78	744
4	108	744
5	120	744
6	128	744
7	149	744
8	235	744
9	335	744

Iter	Nodes	Cost
0	9	516
1	16	516
2	25	516
3	34	516
4	41	516
5	49	516
6	57	516
7	71	516
8	100	516
9	133	516

Iter	Nodes	Cost
0	11	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

Iter	Nodes	Cost
0	13	744
1	26	744
2	48	744
3	78	744
4	108	744
5	120	744
6	128	744
7	149	744
8	235	744
9	335	744

Iter	Nodes	Cost
0	9	516
1	16	516
2	25	516
3	34	516
4	41	516
5	49	516
6	57	516
7	71	516
8	100	516
9	133	516

Iter	Nodes	Cost
0	11	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

Iter	Nodes	Cost
0	13	744
1	26	744
2	48	744
3	78	744
4	108	744
5	120	744
6	128	744
7	149	744
8	235	744
9	335	744

Iter	Nodes	Cost
0	9	516
1	16	516
2	25	516
3	34	516
4	41	516
5	49	516
6	57	516
7	71	516
8	100	516
9	133	516