Details

analyze142.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
7.1%	0%	0%	100%	0%	0%	0%	5
20.8%	0%	0%	100%	0%	0%	0%	6
29.5%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
50.6%	0%	0%	100%	0%	0%	0%	9
58.2%	0%	0%	100%	0%	0%	0%	10
63.3%	0%	0%	100%	0%	0%	0%	11
72.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.6s (14.9%)

Results

1.0s	6724×	body	256	valid
410.0ms	1532×	body	512	valid
156.0ms	1094×	body	256	invalid

Bogosity

preprocess88.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
678×	`div-sub_binary64`
478×	`associate-/r*_binary64`
440×	`distribute-frac-neg_binary64`
353×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	446	88
4	756	88
5	1249	88
6	2223	88
7	4448	88
8	7165	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 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
771×	`fma-neg_binary64`
681×	`div-sub_binary64`
619×	`times-frac_binary64`
478×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	266	22
5	435	22
6	747	22
7	1334	22
8	2704	22
9	4100	22
10	5724	22
11	6429	22
12	7085	22
13	7173	22
14	7735	22
15	7877	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 (.f64 4 a) c)))) (.f64 2 a))

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

eval1.0ms (0%)

Compiler: Compiled 35 to 22 computations (37.1% 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

52.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
▶	52.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.1b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	29.1b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

Compiler

Compiled 60 to 30 computations (50% saved)

series29.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
636×	`log-prod_binary64`
366×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	62
2	3646	59

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
643×	`associate-/l*_binary64`
579×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2119	2202

Stop Event

1×	node limit

Counts

315 → 299

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	29.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

Compiler

Compiled 73 to 38 computations (47.9% saved)

series33.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite202.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
734×	`fma-def_binary64`
373×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	342	62
2	4923	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (/.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.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 -4 (.f64 a c))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))))) (#(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 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (+.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 -4 (.f64 a c))) 3/2)) (fma.f64 b b (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b (hypot.f64 b (sqrt.f64 (.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 -4 (.f64 a c))) 3/2)) (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))) (#(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 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 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(.f64 a c))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))) (fma.f64 b b (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (.f64 2 (sqrt.f64 (.f64 a c)))) (.f64 2 (sqrt.f64 (.f64 a c))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (fma.f64 (.f64 -4 (.f64 a c)) 1 (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) 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(cbrt.f64 b) (.f64 (.f64 -4 (.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (neg.f64 (-.f64 (.f64 4 (.f64 a c)) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) 1) c (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) (cbrt.f64 (.f64 c c))) (cbrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (fma.f64 (.f64 -4 (.f64 a c)) 1 (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (cbrt.f64 (pow.f64 (.f64 4 (.f64 a c)) 2)) (.f64 4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (+.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (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) (pow.f64 (.f64 4 (.f64 a c)) 2))) (hypot.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))) (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) 1))))))

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

429 → 413

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

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

eval513.0ms (4.8%)

Compiler: Compiled 19647 to 11399 computations (42% saved)

prune212.0ms (2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	694	18	712
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	695	19	714

Error

0.1b

Counts

714 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	52.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
▶	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
	53.2b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
▶	5.8b	(/.f64 (neg.f64 c) b)
	2.7b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
▶	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (*.f64 2 a))
	2.6b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	6.1b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	6.0b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
	52.0b	(.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a))
	6.1b	(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
	2.4b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	55.6b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
	1.5b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
✓	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	1.8b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
▶	1.3b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	2.7b	(.f64 (+.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 1/2 a))
▶	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))

Compiler

Compiled 866 to 582 computations (32.8% saved)

localize74.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
✓	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.4b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
✓	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

Compiler

Compiled 187 to 114 computations (39% saved)

series29.0ms (0.3%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
2.0ms	b	@	inf	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
2.0ms	a	@	0	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
2.0ms	b	@	0	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
2.0ms	c	@	0	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

340×	`pow1/3_binary64`
331×	`expm1-udef_binary64`
331×	`log1p-udef_binary64`
303×	`pow3_binary64`
300×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	443	49
2	5315	49

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 c a)) 4))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (.f64 -2 (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 5) (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) 1) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (cbrt.f64 (pow.f64 b 10))) (cbrt.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5/2)) (pow.f64 b 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 a a)) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 c 3) 2) (.f64 a a)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) -2) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (.f64 (pow.f64 c 3) 2)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (/.f64 (.f64 4 (pow.f64 c 6)) (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) (.f64 a a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (/.f64 (pow.f64 b 3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 c (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (.f64 c (pow.f64 b -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 c (.f64 c (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) (cbrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3/2)) (/.f64 c (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -3) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b) (/.f64 c (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b b)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (/.f64 (.f64 c c) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) b) (/.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 c (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3)) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 c c) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 3/2)) (/.f64 (.f64 c c) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b 3/2)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 c (pow.f64 b -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 c (pow.f64 b -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 6) (pow.f64 (pow.f64 b 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 c c) (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 c (pow.f64 b -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (.f64 c (pow.f64 b -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 (pow.f64 b 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (.f64 c (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 c) (.f64 -3 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 c) (.f64 -3 (log.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1 (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 3) (.f64 -2 (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c (cbrt.f64 -2)) (cbrt.f64 (pow.f64 b -5))) (cbrt.f64 (/.f64 (.f64 4 (pow.f64 c 6)) (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 4 (pow.f64 c 6)) (pow.f64 b 10))) (.f64 (.f64 c (cbrt.f64 -2)) (cbrt.f64 (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c (cbrt.f64 -2)) 2) (.f64 (.f64 c (cbrt.f64 -2)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2)) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 c 3) 2) (/.f64 1 (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -5) (.f64 -2 (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3) 1) (/.f64 -2 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 b 5)) (pow.f64 c 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 c (cbrt.f64 -2)) 2) 1) (/.f64 (.f64 c (cbrt.f64 -2)) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) 1) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (cbrt.f64 (pow.f64 b 10))) (/.f64 (pow.f64 c 3) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3) (cbrt.f64 (pow.f64 b 10))) (/.f64 -2 (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 b 10))) (/.f64 (.f64 -2 (pow.f64 c 3)) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 c (cbrt.f64 -2)) 2) (cbrt.f64 (pow.f64 b 10))) (.f64 (.f64 c (cbrt.f64 -2)) (cbrt.f64 (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (cbrt.f64 (pow.f64 b 10))) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 b 5/2)) (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)) (/.f64 -2 (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 5/2)) (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 c (cbrt.f64 -2)) 2) (pow.f64 b 5/2)) (/.f64 (.f64 c (cbrt.f64 -2)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c (cbrt.f64 -2)) (cbrt.f64 (pow.f64 b -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (.f64 -2 (pow.f64 c 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 -2 (pow.f64 c 3)) 3) (pow.f64 (pow.f64 b 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 b 5) (.f64 -2 (pow.f64 c 3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 4 (pow.f64 c 6)) (pow.f64 b 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 -2 (pow.f64 c 3)) 3) (pow.f64 (pow.f64 b 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -2 (*.f64 (pow.f64 c 3) (pow.f64 b -5)))) 1))))))

simplify172.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

821×	`associate-/l*_binary64`
646×	`sqr-pow_binary64`
528×	`associate-l_binary64`
498×	`associate-r_binary64`
445×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1236
1	52	1236
2	166	1236
3	836	1236
4	5647	1236
5	5724	1236
6	5887	1236
7	6132	1236
8	6375	1236
9	6664	1236
10	7022	1236
11	7476	1236

Stop Event

1×	node limit

Counts

218 → 139

Calls

Call 1

Inputs
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
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(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
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(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
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(/.f64 (pow.f64 c 2) (pow.f64 b 3))
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(/.f64 (pow.f64 c 2) (pow.f64 b 3))
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(/.f64 (pow.f64 c 2) (pow.f64 b 3))
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(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
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(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
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(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))

Outputs
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
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(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
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(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))

localize5.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
✓	0.2b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
✓	0.3b	(/.f64 (*.f64 c a) b)
✓	29.1b	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)

Compiler

Compiled 61 to 25 computations (59% saved)

series18.0ms (0.2%)

Counts

4 → 81

Calls

36 calls:

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

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
545×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	300	52
2	4473	52

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

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

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

simplify43.0ms (0.4%)

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	630
1	21	630
2	41	630
3	74	630
4	110	630
5	129	630
6	137	630
7	158	630
8	244	630
9	344	630

Stop Event

1×

saturated

Counts

368 → 292

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))
b
b
b
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (/.f64 (.f64 c a) b))
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))
(/.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 (.f64 -2 c) a) b)
(/.f64 (.f64 a (.f64 -2 c)) b)
(.f64 c (.f64 a (/.f64 -2 b)))
b
b
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)))
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)))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))))

✓

0.1b

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

✓

29.1b

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

Compiler

Compiled 66 to 31 computations (53% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
1.0ms	b	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
0.0ms	a	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
0.0ms	a	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
0.0ms	b	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`log-prod_binary64`
359×	`pow2_binary64`
324×	`fma-def_binary64`
251×	`pow1/3_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	303	48
2	4139	48

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

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

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

(sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))))

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
970×	`fma-def_binary64`
642×	`associate-/l*_binary64`
582×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2075
1	576	2019
2	2099	1854

Stop Event

1×	node limit

Counts

198 → 213

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c))))))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
✓	0.2b	(sqrt.f64 (*.f64 a c))
✓	29.1b	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))

Compiler

Compiled 122 to 53 computations (56.6% saved)

series89.0ms (0.8%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
10.0ms	a	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
6.0ms	c	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
6.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
5.0ms	a	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`fma-def_binary64`
323×	`fma-neg_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	360	63
2	5390	63

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-l_binary64`
568×	`associate-/l*_binary64`
434×	`associate-/r*_binary64`
334×	`associate-+l+_binary64`
275×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1765
1	567	1043
2	2580	538

Stop Event

1×	node limit

Counts

193 → 203

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b)))
(fma.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)) (sqrt.f64 -4) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))))) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b)))
(fma.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)) (sqrt.f64 -4) (neg.f64 b)))
(.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))) 2)) b)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (pow.f64 b 3))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b)))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2))) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) 2)) (pow.f64 (.f64 1/2 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2))) 2)) (pow.f64 b 3)) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b)))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 c a) -4 0) b) (/.f64 0 b)) (fma.f64 -1/2 (/.f64 (fma.f64 0 (fma.f64 (.f64 c a) -4 0) (pow.f64 (.f64 1/2 (fma.f64 (.f64 c a) -4 0)) 2)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (fma.f64 (.f64 c a) -4 0) b) 0)))
(fma.f64 -1/2 (/.f64 (pow.f64 (.f64 (.f64 c a) -2) 2) (pow.f64 b 3)) (/.f64 (.f64 (.f64 c a) -2) b))
(.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b)) (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 -1))) 2)) b))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
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(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) b))
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b)))
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) b)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2)))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
b
b

eval475.0ms (4.5%)

Compiler: Compiled 25574 to 14442 computations (43.5% saved)

prune181.0ms (1.7%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	856	16	872
Fresh	5	8	13
Picked	0	1	1
Done	3	2	5
Total	864	27	891

Error

0.1b

Counts

891 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	52.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	52.6b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
	6.0b	(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
✓	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
	3.1b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (*.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b))))
	53.2b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
✓	5.8b	(/.f64 (neg.f64 c) b)
	2.6b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	55.6b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
▶	6.0b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
	6.1b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	6.0b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
▶	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
	6.1b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
▶	1.3b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
▶	2.4b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
✓	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
	52.3b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	2.7b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
	1.5b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
▶	52.3b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	52.9b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	1.8b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
	2.6b	(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))
	2.7b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a)))))
	55.6b	(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
	55.7b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))

Compiler

Compiled 1557 to 1007 computations (35.3% saved)

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
	0.4b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 176 to 99 computations (43.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	0	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	inf	(pow.f64 (*.f64 c a) 4)

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
524×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1434	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (*.f64 c a) 4)

Outputs

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

simplify184.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1109×	`sqr-pow_binary64`
732×	`associate-l_binary64`
552×	`cube-prod_binary64`
537×	`associate-r_binary64`
510×	`pow-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	14	240
2	35	240
3	100	240
4	434	240
5	2442	168
6	2506	168
7	2661	168
8	2839	168
9	3032	168
10	3279	168
11	3869	168
12	4243	168
13	4737	168
14	5313	168
15	6081	168
16	6449	168
17	6769	168
18	7025	168
19	7239	168
20	7361	168

Stop Event

1×	node limit

Counts

40 → 17

Calls

Call 1

Inputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))

Outputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
887×	`add-log-exp_binary64`
887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	10
2	2797	10

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify18.0ms (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

94 → 60

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)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
✓	0.3b	(.f64 c (.f64 a (/.f64 1 b)))
✓	0.3b	(*.f64 a (/.f64 1 b))
✓	29.1b	(-.f64 (+.f64 b (.f64 -2 (.f64 c (*.f64 a (/.f64 1 b))))) b)

Compiler

Compiled 77 to 49 computations (36.4% saved)

series10.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`log-prod_binary64`
583×	`fma-def_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	336	45
2	4710	45

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

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

simplify51.0ms (0.5%)

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	12	924
1	22	924
2	42	924
3	73	924
4	109	924
5	128	924
6	136	924
7	157	924
8	243	924
9	343	924

Stop Event

1×

saturated

Counts

374 → 247

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 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 a b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.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))

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 b 3)
✓	0.1b	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
1.0ms	b	@	-inf	(pow.f64 b 3)
1.0ms	b	@	inf	(pow.f64 b 3)
1.0ms	c	@	0	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
0.0ms	b	@	-inf	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
336×	`pow-prod-down_binary64`
280×	`prod-diff_binary64`
276×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	220	21
2	2842	21

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(pow.f64 b 3)

Outputs

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

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

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

899×	`fma-def_binary64`
779×	`unswap-sqr_binary64`
642×	`associate-/r*_binary64`
497×	`associate-/l/_binary64`
390×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	594
1	28	594
2	71	540
3	247	540
4	1190	540
5	5035	540
6	5802	540
7	7574	540
8	7991	540

Stop Event

1×	node limit

Counts

98 → 67

Calls

Call 1

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

Outputs
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))
(*.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)))
(.f64 c (.f64 (/.f64 c (pow.f64 b 3)) a))
(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
(.f64 (.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))
(*.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)))
(.f64 c (.f64 (/.f64 c (pow.f64 b 3)) a))
(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
(.f64 (.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))
(*.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)))
(.f64 c (.f64 (/.f64 c (pow.f64 b 3)) a))
(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
(.f64 (.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))
(*.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)))
(.f64 c (.f64 (/.f64 c (pow.f64 b 3)) a))
(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
(.f64 (.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))
(*.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)))
(.f64 c (.f64 (/.f64 c (pow.f64 b 3)) a))
(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
(.f64 (.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)) (/.f64 c b))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))
✓	0.5b	(cbrt.f64 b)
✓	0.5b	(pow.f64 (cbrt.f64 b) 2)
✓	52.2b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))))

Compiler

Compiled 90 to 39 computations (56.7% saved)

series12.0ms (0.1%)

Counts

4 → 51

Calls

24 calls:

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

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
449×	`fma-def_binary64`
350×	`pow2_binary64`
274×	`pow-unpow_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	327	36
2	4020	35

Stop Event

1×	node limit

Counts

4 → 292

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))))
(pow.f64 (cbrt.f64 b) 2)
(cbrt.f64 b)
(-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/r/_binary64`
625×	`distribute-rgt-neg-in_binary64`
543×	`distribute-lft-neg-in_binary64`
392×	`fma-neg_binary64`
333×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	777
1	191	697
2	594	670
3	3047	648
4	5980	648

Stop Event

1×	node limit

Counts

343 → 319

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

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

eval428.0ms (4%)

Compiler: Compiled 25726 to 13584 computations (47.2% saved)

prune260.0ms (2.4%)

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	888	22	910
Fresh	5	14	19
Picked	1	0	1
Done	2	5	7
Total	896	41	937

Error

0.1b

Counts

937 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	52.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	52.6b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
	6.0b	(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
✓	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
	3.7b	(neg.f64 (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b)))
	52.9b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	6.1b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
	6.1b	(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
	1.8b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
▶	6.0b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
	52.3b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
▶	5.8b	(neg.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3))
	2.6b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	55.6b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
✓	6.0b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
	6.1b	(.f64 (.f64 c a) (*.f64 -1 (/.f64 (/.f64 1 a) b)))
	53.8b	(/.f64 (fma.f64 (.f64 (sqrt.f64 b) (pow.f64 b 1/6)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
	55.6b	(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
	5.8b	(neg.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3)))
	52.7b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	6.1b	(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
	6.0b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
✓	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
▶	6.0b	(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))
	1.8b	(/.f64 (-.f64 (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (.f64 2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a)))))) (*.f64 2 a))
	5.2b	(neg.f64 (exp.f64 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
✓	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
	52.3b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	6.0b	(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
	6.1b	(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
▶	1.3b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
▶	2.6b	(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))))) (*.f64 2 a))
	2.7b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
	2.6b	(neg.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
	1.5b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	2.4b	(neg.f64 (fma.f64 (/.f64 (.f64 c c) (.f64 (*.f64 b b) b)) a (/.f64 c b)))
	2.8b	(neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3)))
	55.7b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
	51.8b	(/.f64 (fma.f64 (cbrt.f64 (.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
✓	5.8b	(/.f64 (neg.f64 c) b)
	2.6b	(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))

Compiler

Compiled 1687 to 1129 computations (33.1% saved)

localize88.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
✓	0.3b	(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))
	0.4b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 186 to 85 computations (54.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	10
2	2314	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))

Outputs

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

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

791×	`sqr-pow_binary64`
705×	`times-frac_binary64`
591×	`unswap-sqr_binary64`
369×	`associate-/l*_binary64`
343×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	20	240
2	46	240
3	116	240
4	457	240
5	3377	240
6	4541	240
7	4721	240
8	4929	240
9	5162	240
10	5471	240
11	5869	240
12	6376	240
13	6995	240
14	7765	240

Stop Event

1×	node limit

Counts

77 → 55

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))

localize83.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite145.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
378×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
238×	`pow2_binary64`
214×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	10
2	3029	4

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify34.0ms (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	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

98 → 64

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)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 a -1) (.f64 a b))
✓	0.3b	(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite163.0ms (1.5%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

102×	`add-sqr-sqrt_binary64`
102×	`add-sqr-sqrt_binary64`
100×	`*-un-lft-identity_binary64`
100×	`pow1_binary64`
100×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	231	23
2	3449	23
0	11	13
1	231	13
2	3449	13
0	11	13
0	7	10
1	146	10
2	2489	10
0	7	10

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 19

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.4%)

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	7	312
1	11	312
2	18	312
3	23	312
4	29	312
5	37	312
6	45	312
7	55	312
8	63	312
9	77	312

Stop Event

1×

saturated

Counts

79 → 22

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 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 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 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)

localize105.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 c (pow.f64 b 3))
✓	0.3b	(.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a))))
✓	0.3b	(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))))) (*.f64 2 a))
✓	0.4b	(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))

Compiler

Compiled 101 to 49 computations (51.5% saved)

series37.0ms (0.3%)

Counts

4 → 108

Calls

33 calls:

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

rewrite195.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`fma-def_binary64`
335×	`expm1-udef_binary64`
335×	`log1p-udef_binary64`
277×	`log-pow_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	393	65
2	5844	65

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

883×	`associate-/l*_binary64`
664×	`unswap-sqr_binary64`
604×	`fma-def_binary64`
416×	`associate-/r*_binary64`
396×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	1944
1	62	1917
2	203	1809
3	913	1728
4	5847	1728

Stop Event

1×	node limit

Counts

294 → 200

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))
(/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))
(.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)))
(/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))
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(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(/.f64 (*.f64 c a) b)
(*.f64 a (/.f64 c b))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(/.f64 (*.f64 c a) b)
(*.f64 a (/.f64 c b))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)))
(fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))
(.f64 a (fma.f64 a (.f64 (/.f64 c (pow.f64 b 3)) c) (/.f64 c b)))
(.f64 c (fma.f64 c (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a b)))

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b))
✓	0.3b	(*.f64 (pow.f64 b -3) a)
✓	0.7b	(pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3)
✓	3.7b	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)

Compiler

Compiled 82 to 40 computations (51.2% saved)

series64.0ms (0.6%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
24.0ms	c	@	0	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)
7.0ms	c	@	-inf	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)
4.0ms	b	@	-inf	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)
3.0ms	a	@	-inf	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)
3.0ms	b	@	0	(pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
331×	`pow2_binary64`
242×	`prod-diff_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	306	61
2	3286	61

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)) 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b 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fma.f64 c (.f64 c (.f64 (pow.f64 b -3) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 b -3) a) (.f64 c c) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 c b) (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 1 b)) (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 c b)) (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (cbrt.f64 (/.f64 c b)) (.f64 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simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-r_binary64`
469×	`associate-l_binary64`
373×	`times-frac_binary64`
373×	`fma-def_binary64`
338×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	454	5850
1	1653	5654

Stop Event

1×	node limit

Counts

265 → 212

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (*.f64 1 (pow.f64 b 2)) 1/3))) (/.f64 c b))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (/.f64 a (pow.f64 b 5)) (*.f64 2 (/.f64 a (pow.f64 b 5)))) 2)))) (pow.f64 b 2))))))
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(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
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(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 (pow.f64 c 5) (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7))))))
(+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)) (.f64 (pow.f64 c 5) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7)))))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(+.f64 (.f64 (pow.f64 c 5) (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))
(+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (+.f64 (.f64 (pow.f64 c 5) (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))
(+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 c 5) (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 5) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 5) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))))) (+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 5) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))))) (+.f64 (.f64 (pow.f64 c 4) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7))) (/.f64 (.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)) (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5)) (+.f64 (.f64 2 (/.f64 (*.f64 (pow.f64 c 4) a) (pow.f64 b 5))) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 2 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)))))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 5) (pow.f64 a 2)) (pow.f64 b 7))))))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 c 4) a)) (.f64 -1 (*.f64 (pow.f64 c 4) a))) (pow.f64 b 5))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 c 4) a)) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 5) (pow.f64 a 2)))) (pow.f64 b 7))) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 c 4) a)) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 5) (pow.f64 a 2)))) (pow.f64 b 7))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 b 5))) (.f64 -2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a)) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (/.f64 (pow.f64 c 5) (pow.f64 b 7)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 b 5))) (.f64 -2 (/.f64 (pow.f64 c 4) (pow.f64 b 5)))) a)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9)))))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))

Outputs
(/.f64 c b)
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 5)) (.f64 2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (*.f64 1 (pow.f64 b 2)) 1/3))) (/.f64 c b))
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(fma.f64 (.f64 3 (/.f64 a (pow.f64 b 5))) (pow.f64 c 4) (fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3))))
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(fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (+.f64 (.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3)) (fma.f64 a (.f64 3 (/.f64 (pow.f64 c 4) (pow.f64 b 5))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(/.f64 (*.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 b 9))
(/.f64 (pow.f64 c 6) (/.f64 (pow.f64 b 9) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3))
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(fma.f64 (pow.f64 c 5) (.f64 3 (/.f64 (.f64 a a) (pow.f64 b 7))) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 b 9) (pow.f64 a 3))))
(fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3)))
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(fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (fma.f64 -1 (.f64 a (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) -3)) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 b 9) (pow.f64 a 3)))))
(fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (-.f64 (.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (*.f64 -3 a))))
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(fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (fma.f64 -1 (.f64 a (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) -3)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 b 9) (pow.f64 a 3))))))
(+.f64 (fma.f64 (.f64 a a) (.f64 3 (/.f64 (pow.f64 c 5) (pow.f64 b 7))) (-.f64 (.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 9)) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 5)) (*.f64 -3 a)))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 a (pow.f64 b 3))
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(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 a (pow.f64 b 3))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
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(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)
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(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
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(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
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(/.f64 c b)
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(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(/.f64 c b)
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(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))

eval562.0ms (5.3%)

Compiler: Compiled 22705 to 13235 computations (41.7% saved)

prune294.0ms (2.8%)

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	625	23	648
Fresh	8	23	31
Picked	1	0	1
Done	2	7	9
Total	636	53	689

Error

0.1b

Counts

689 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	52.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	6.0b	(/.f64 (.f64 -2 (pow.f64 (pow.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))) 3) 1/3)) (*.f64 2 a))
	52.6b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
	6.0b	(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
✓	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
	51.8b	(/.f64 (fma.f64 (cbrt.f64 (.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
	2.6b	(neg.f64 (fma.f64 (/.f64 1 b) c (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
	6.0b	(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
	6.0b	(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
✓	5.8b	(/.f64 (neg.f64 c) b)
	2.9b	(neg.f64 (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (.f64 1 (.f64 a (.f64 a (pow.f64 c 5)))) (.f64 b (.f64 (.f64 a a) (pow.f64 c 4))))))
	6.1b	(.f64 (/.f64 c 1) (.f64 (.f64 a -1) (/.f64 1 (.f64 a b))))
	52.9b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	2.4b	(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
	6.1b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
	6.1b	(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
	1.8b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
	6.0b	(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
✓	6.0b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
	2.5b	(neg.f64 (/.f64 c (/.f64 a (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))
	2.7b	(.f64 (.f64 c -2) (.f64 (fma.f64 c (.f64 (pow.f64 b -3) (*.f64 a a)) (/.f64 a b)) (/.f64 1/2 a)))
	49.3b	(neg.f64 (log.f64 (.f64 (exp.f64 (/.f64 c b)) (exp.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a))))))
	48.0b	(/.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))))) 1)) (*.f64 2 a))
	52.3b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
	62.9b	(/.f64 c b)
	55.6b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
	6.1b	(.f64 (.f64 c a) (*.f64 -1 (/.f64 (/.f64 1 a) b)))
	53.8b	(/.f64 (fma.f64 (.f64 (sqrt.f64 b) (pow.f64 b 1/6)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
	2.4b	(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
	4.5b	(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 (pow.f64 b -3) (.f64 a a))))) 1)))) (.f64 2 a))
	5.8b	(neg.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3)))
	52.7b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	6.1b	(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
	6.0b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
✓	55.6b	(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
	2.7b	(/.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
	5.8b	(neg.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) 3) 1/3))
✓	6.0b	(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))
	5.2b	(neg.f64 (exp.f64 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
	6.0b	(*.f64 (/.f64 c 1) (/.f64 -1 b))
	1.8b	(/.f64 (-.f64 (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (.f64 2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a)))))) (*.f64 2 a))
✓	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
	52.3b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	6.1b	(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
✓	1.3b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
	2.6b	(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
	2.6b	(neg.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
	1.5b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	2.7b	(/.f64 (.f64 -2 (fma.f64 a (.f64 (/.f64 1 b) c) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
	3.6b	(/.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))) 3)) (*.f64 2 a))
	55.7b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
	2.8b	(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
	2.8b	(/.f64 (.f64 -2 (expm1.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))) (*.f64 2 a))

Compiler

Compiled 1109 to 744 computations (32.9% saved)

regimes318.0ms (3%)

Counts

81 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 c 1) (/.f64 -1 b))
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 c a) (*.f64 -1 (/.f64 (/.f64 1 a) b)))
(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(.f64 (/.f64 c 1) (.f64 (.f64 a -1) (/.f64 1 (.f64 a b))))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (.f64 (*.f64 b b) b)) a (/.f64 c b)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))))) (*.f64 2 a))
(/.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 1 b) c (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (*.f64 2 a))
(neg.f64 (/.f64 c (/.f64 a (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))
(.f64 (.f64 c -2) (.f64 (fma.f64 c (.f64 (pow.f64 b -3) (*.f64 a a)) (/.f64 a b)) (/.f64 1/2 a)))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 a (.f64 (/.f64 1 b) c) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(neg.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) 3) 1/3))
(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 (pow.f64 b -3) (.f64 a a))))) 1)))) (.f64 2 a))
(.f64 (+.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 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(neg.f64 (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (.f64 1 (.f64 a (.f64 a (pow.f64 c 5)))) (.f64 b (.f64 (.f64 a a) (pow.f64 c 4))))))
(neg.f64 (exp.f64 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3)))
(neg.f64 (log.f64 (.f64 (exp.f64 (/.f64 c b)) (exp.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a))))))
(neg.f64 (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b)))
(neg.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3)))
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(/.f64 (.f64 -2 (expm1.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))) (*.f64 2 a))
(/.f64 (fma.f64 (cbrt.f64 (.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))) 3)) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (pow.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))) 3) 1/3)) (*.f64 2 a))
(/.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))))) 1)) (*.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(/.f64 (-.f64 (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (.f64 2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a)))))) (*.f64 2 a))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(/.f64 (fma.f64 (.f64 (sqrt.f64 b) (pow.f64 b 1/6)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
(.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (*.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a)))))

Outputs

(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 4) 20) a) (-.f64 (*.f64 (/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))

Calls

4 calls:

90.0ms	b
74.0ms	a
50.0ms	c
26.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`c`
1.3b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1735 to 929 computations (46.5% saved)

regimes356.0ms (3.3%)

Counts

75 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 c 1) (/.f64 -1 b))
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 c a) (*.f64 -1 (/.f64 (/.f64 1 a) b)))
(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(.f64 (/.f64 c 1) (.f64 (.f64 a -1) (/.f64 1 (.f64 a b))))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (.f64 (*.f64 b b) b)) a (/.f64 c b)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))))) (*.f64 2 a))
(/.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 1 b) c (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (*.f64 2 a))
(neg.f64 (/.f64 c (/.f64 a (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))
(.f64 (.f64 c -2) (.f64 (fma.f64 c (.f64 (pow.f64 b -3) (*.f64 a a)) (/.f64 a b)) (/.f64 1/2 a)))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 a (.f64 (/.f64 1 b) c) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(neg.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) 3) 1/3))
(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 (pow.f64 b -3) (.f64 a a))))) 1)))) (.f64 2 a))
(.f64 (+.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 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(neg.f64 (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (.f64 1 (.f64 a (.f64 a (pow.f64 c 5)))) (.f64 b (.f64 (.f64 a a) (pow.f64 c 4))))))
(neg.f64 (exp.f64 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3)))
(neg.f64 (log.f64 (.f64 (exp.f64 (/.f64 c b)) (exp.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a))))))
(neg.f64 (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b)))
(neg.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3)))
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(/.f64 (.f64 -2 (expm1.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))) (*.f64 2 a))
(/.f64 (fma.f64 (cbrt.f64 (.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))) 3)) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (pow.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))) 3) 1/3)) (*.f64 2 a))
(/.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))))) 1)) (*.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(/.f64 (-.f64 (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (.f64 2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a)))))) (*.f64 2 a))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(/.f64 (fma.f64 (.f64 (sqrt.f64 b) (pow.f64 b 1/6)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
(.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))

Outputs
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))

Calls

4 calls:

109.0ms	b
77.0ms	a
56.0ms	c
46.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
1.5b	1	`a`
1.5b	1	`b`
1.5b	1	`c`
1.5b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1365 to 717 computations (47.5% saved)

regimes203.0ms (1.9%)

Counts

67 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 c 1) (/.f64 -1 b))
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 c a) (*.f64 -1 (/.f64 (/.f64 1 a) b)))
(.f64 (/.f64 c 1) (/.f64 (.f64 a -1) (*.f64 a b)))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(/.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (.f64 2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(.f64 (/.f64 c 1) (.f64 (.f64 a -1) (/.f64 1 (.f64 a b))))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (.f64 c (.f64 a (/.f64 1 b))))) b) (/.f64 1/2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (.f64 (*.f64 b b) b)) a (/.f64 c b)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a a))))) (*.f64 2 a))
(/.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 1 b) c (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (*.f64 2 a))
(neg.f64 (/.f64 c (/.f64 a (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))
(.f64 (.f64 c -2) (.f64 (fma.f64 c (.f64 (pow.f64 b -3) (*.f64 a a)) (/.f64 a b)) (/.f64 1/2 a)))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 a (.f64 (/.f64 1 b) c) (.f64 (.f64 c (pow.f64 b -3)) (.f64 c (.f64 a a))))) (*.f64 2 a))
(neg.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) 3) 1/3))
(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 (pow.f64 b -3) (.f64 a a))))) 1)))) (.f64 2 a))
(.f64 (+.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 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(neg.f64 (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (.f64 1 (.f64 a (.f64 a (pow.f64 c 5)))) (.f64 b (.f64 (.f64 a a) (pow.f64 c 4))))))
(neg.f64 (exp.f64 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))))
(neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3)))
(neg.f64 (log.f64 (.f64 (exp.f64 (/.f64 c b)) (exp.f64 (.f64 (.f64 c c) (.f64 (pow.f64 b -3) a))))))
(neg.f64 (fma.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c (pow.f64 b -3))))) 1) a (/.f64 c b)))
(neg.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 c c) (.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3)))
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(/.f64 (.f64 -2 (expm1.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))))) (*.f64 2 a))
(/.f64 (fma.f64 (cbrt.f64 (.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b)))) 3)) (*.f64 2 a))
(/.f64 (.f64 -2 (pow.f64 (pow.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))) 3) 1/3)) (*.f64 2 a))
(/.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 c (fma.f64 c (.f64 (pow.f64 b -3) (.f64 a a)) (/.f64 a b))))) 1)) (*.f64 2 a))

Outputs
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))

Calls

4 calls:

54.0ms	a
48.0ms	c
41.0ms	b
24.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
2.4b	1	`a`
2.4b	1	`b`
2.4b	1	`c`
2.4b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1144 to 602 computations (47.4% saved)

regimes115.0ms (1.1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	b
30.0ms	a
30.0ms	c

Results

Error	Segments	Branch
2.4b	1	`a`
2.4b	1	`b`
2.4b	1	`c`

Compiler

Compiled 369 to 200 computations (45.8% saved)

regimes107.0ms (1%)

Counts

28 → 1

Calls

Call 1

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

Outputs
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))

Calls

3 calls:

30.0ms	c
30.0ms	a
29.0ms	b

Results

Error	Segments	Branch
2.6b	1	`a`
2.6b	1	`b`
2.6b	1	`c`

Compiler

Compiled 356 to 196 computations (44.9% saved)

regimes96.0ms (0.9%)

Accuracy

Total -57.2b remaining (-993.1%)

Threshold costs -57.2b (-993.1%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	a
27.0ms	c
27.0ms	b

Results

Error	Segments	Branch
5.8b	1	`a`
5.8b	1	`b`
5.8b	1	`c`

Compiler

Compiled 294 to 164 computations (44.2% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	185
1	95	185
2	124	185
3	150	185
4	163	185
5	169	185
6	171	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
(/.f64 (neg.f64 c) b)
(/.f64 c b)

Outputs
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 -2 (.f64 a a))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 (pow.f64 b -3) a))))
(neg.f64 (+.f64 (/.f64 c b) (.f64 (.f64 c c) (*.f64 a (pow.f64 b -3)))))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (.f64 c c) (*.f64 a (pow.f64 b -3))))
(neg.f64 (*.f64 (/.f64 c b) (fma.f64 (/.f64 c b) (/.f64 a b) 1)))
(*.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 c b) (/.f64 a b) 1))
(*.f64 (fma.f64 (/.f64 c b) (/.f64 a b) 1) (/.f64 (neg.f64 c) b))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 2 a))
(/.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) b)))) (.f64 a 2))
(/.f64 (neg.f64 c) b)
(/.f64 c b)

Compiler

Compiled 147 to 94 computations (36.1% saved)

soundness134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Compiler

Compiled 1816 to 1366 computations (24.8% saved)

end72.0ms (0.7%)

Compiler: Compiled 129 to 64 computations (50.4% saved)

Iter	Nodes	Cost
0	11	630
1	21	630
2	41	630
3	74	630
4	110	630
5	129	630
6	137	630
7	158	630
8	244	630
9	344	630

Iter	Nodes	Cost
0	12	924
1	22	924
2	42	924
3	73	924
4	109	924
5	128	924
6	136	924
7	157	924
8	243	924
9	343	924

Iter	Nodes	Cost
0	11	630
1	21	630
2	41	630
3	74	630
4	110	630
5	129	630
6	137	630
7	158	630
8	244	630
9	344	630

Iter	Nodes	Cost
0	12	924
1	22	924
2	42	924
3	73	924
4	109	924
5	128	924
6	136	924
7	157	924
8	243	924
9	343	924

Iter	Nodes	Cost
0	11	630
1	21	630
2	41	630
3	74	630
4	110	630
5	129	630
6	137	630
7	158	630
8	244	630
9	344	630

Iter	Nodes	Cost
0	12	924
1	22	924
2	42	924
3	73	924
4	109	924
5	128	924
6	136	924
7	157	924
8	243	924
9	343	924