Details

analyze1.4s (20.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
7.8%	85.8%	6.4%	7
10.1%	83.5%	6.4%	8
16.8%	74.5%	8.7%	9
29.1%	57.5%	13.4%	10
33.6%	51.4%	15%	11
39.2%	42.7%	18.1%	12
46%	33.4%	20.6%	13
49.5%	28.2%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (26.1%)

Results

1.6s	8256×	body	128	valid
196.0ms	1083×	body	128	invalid

preprocess38.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
491×	`associate-/l*_binary64`
481×	`div-sub_binary64`
383×	`fma-neg_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	131	208
2	321	208
3	700	200
4	1318	200
5	2435	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) c) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (/.f64 c -1/2) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))) a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) a)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4)))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4))))) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 (/.f64 2 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))))) c) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a) (.f64 b 2)))
(if (>=.f64 a 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a)))) c)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))) a) (*.f64 b 2)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 a 0) (/.f64 (/.f64 c -1/2) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))))) (.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b)))
(if (>=.f64 a 0) (.f64 -2 (/.f64 c (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (.f64 -2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) b)) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (*.f64 2 a)))
(if (>=.f64 c 0) (/.f64 b (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4))))) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (*.f64 2 a)))
(if (>=.f64 c 0) (/.f64 b (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (*.f64 2 a)))
(if (>=.f64 c 0) (.f64 b (/.f64 -2 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 b (.f64 -1/2 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 b (.f64 -1/2 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
464×	`times-frac_binary64`
353×	`div-sub_binary64`
283×	`cancel-sign-sub-inv_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	99	52
3	240	50
4	439	50
5	780	50
6	1493	50
7	2856	50
8	4302	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (/.f64 c -1/2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)))
(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a) -1/2))
(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 -1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

prune5.0ms (0.1%)

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

24.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
▶	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Status

Error

Program

24.2b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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)))

▶

24.2b

(if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
✓	0.4b	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	0.7b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	27.2b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series28.0ms (0.4%)

Counts

4 → 80

Calls

36 calls:

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

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
237×	`fma-neg_binary64`
156×	`add-sqr-sqrt_binary64`
148×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	310	67
2	4116	67

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
679×	`associate-/l*_binary64`
571×	`associate-/r*_binary64`
166×	`associate-/r/_binary64`
110×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2576
1	538	2498
2	1891	2310

Stop Event

1×	node limit

Counts

230 → 235

Calls

Call 1

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

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

prune751.0ms (10.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	269	12	281
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	270	13	283

Error

6.6b

Counts

283 → 13

Alt Table

Status	Error	Program
	25.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	24.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))) -1/2))))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	27.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)))
	24.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) 3))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	35.0b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) (fma.f64 b b (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	27.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))))))) (/.f64 -1/2 a)))
	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
▶	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (*.f64 -1 (/.f64 b a)))

Compiler

Compiled 13679 to 8043 computations (41.2% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
	0.7b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
	27.2b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series17.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
3.0ms	c	@	inf	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
2.0ms	a	@	inf	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
2.0ms	c	@	0	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
1.0ms	b	@	0	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`prod-diff_binary64`
145×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`
137×	`pow1_binary64`
136×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	287	22
2	3863	22

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

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

Outputs

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

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
586×	`times-frac_binary64`
402×	`associate-/l*_binary64`
349×	`associate-/r*_binary64`
138×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	798
1	414	756
2	1674	700

Stop Event

1×	node limit

Counts

65 → 72

Calls

Call 1

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

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

prune496.0ms (7.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	180	13	193

Error

6.6b

Counts

193 → 13

Alt Table

Status	Error	Program
▶	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (*.f64 -1 (/.f64 b a)))
	25.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	23.5b	(if (>=.f64 b 0) (.f64 (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 -2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	23.7b	(if (>=.f64 b 0) (.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) 2)) (/.f64 c (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	27.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)))
	23.4b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 b a)))
	27.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))))))) (/.f64 -1/2 a)))
	23.5b	(if (>=.f64 b 0) (pow.f64 (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) c)) -1) (.f64 -1 (/.f64 b a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))) -1/2))))
	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))

Compiler

Compiled 7299 to 4366 computations (40.2% saved)

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
✓	0.0b	(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
✓	3.8b	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))
✓	4.9b	(*.f64 (/.f64 c b) a)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series21.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(*.f64 (/.f64 c b) a)
2.0ms	c	@	-inf	(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
1.0ms	c	@	0	(*.f64 (/.f64 c b) a)
1.0ms	b	@	-inf	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))
1.0ms	c	@	inf	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`prod-diff_binary64`
231×	`log1p-udef_binary64`
129×	`add-sqr-sqrt_binary64`
126×	`*-un-lft-identity_binary64`
126×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	246	52
2	3577	52

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (.f64 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 -2 (/.f64 1 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 c (/.f64 1 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c -2) (/.f64 1 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))) 2) (cbrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 c c) 4)) (.f64 (cbrt.f64 (.f64 c -2)) (/.f64 1 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))) (sqrt.f64 (.f64 -2 (/.f64 c (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c -2)) (.f64 (sqrt.f64 (.f64 c -2)) (/.f64 1 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c 2) (/.f64 1 (neg.f64 (+.f64 b 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simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

517×	`unswap-sqr_binary64`
343×	`times-frac_binary64`
330×	`distribute-rgt-neg-in_binary64`
267×	`associate-/l*_binary64`
207×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	2192
1	168	2114
2	608	2074
3	3315	2074

Stop Event

1×	node limit

Counts

272 → 154

Calls

Call 1

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

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

prune328.0ms (4.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	153	14	167

Error

6.6b

Counts

167 → 14

Alt Table

Status	Error	Program
✓	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (*.f64 -1 (/.f64 b a)))
	25.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	48.6b	(if (>=.f64 b 0) (/.f64 b a) (*.f64 -1 (/.f64 b a)))
	23.5b	(if (>=.f64 b 0) (.f64 (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 -2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	23.7b	(if (>=.f64 b 0) (.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) 2)) (/.f64 c (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	27.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)))
	23.4b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 b a)))
	27.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))))))) (/.f64 -1/2 a)))
	23.5b	(if (>=.f64 b 0) (pow.f64 (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) c)) -1) (.f64 -1 (/.f64 b a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))) -1/2))))
▶	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))

Compiler

Compiled 5534 to 3013 computations (45.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
	0.1b	(/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))))
	0.7b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
	27.2b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series5.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
181×	`fma-def_binary64`
180×	`fma-neg_binary64`
161×	`expm1-udef_binary64`
161×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	197	10
2	3026	10

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 c b) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 c b) (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 c b) 2) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 c b) (/.f64 b a)) 2) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))) 2) (cbrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))) (sqrt.f64 (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (/.f64 c b)) (pow.f64 (/.f64 c b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 c b) (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (/.f64 c b)) (pow.f64 (/.f64 c b) 2)) (+.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (+.f64 (/.f64 c b) (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (/.f64 c b) (/.f64 b a)) 2) (+.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 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simplify11.0ms (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	8	44
1	12	44
2	19	44
3	25	44
4	31	44
5	39	44
6	47	44
7	57	44
8	65	44
9	79	44

Stop Event

1×

saturated

Counts

124 → 118

Calls

Call 1

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

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

prune719.0ms (10.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	298	14	312

Error

6.6b

Counts

312 → 14

Alt Table

Status	Error	Program
✓	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (*.f64 -1 (/.f64 b a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	48.6b	(if (>=.f64 b 0) (/.f64 b a) (*.f64 -1 (/.f64 b a)))
	23.5b	(if (>=.f64 b 0) (.f64 (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (/.f64 -2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	23.7b	(if (>=.f64 b 0) (.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) 2)) (/.f64 c (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 -1 (/.f64 b a)))
	27.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)))
	23.4b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 b a)))
	27.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))))))) (/.f64 -1/2 a)))
✓	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
	37.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (pow.f64 (pow.f64 (+.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
	23.5b	(if (>=.f64 b 0) (pow.f64 (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) c)) -1) (.f64 -1 (/.f64 b a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	24.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)))) -1/2))))

Compiler

Compiled 11592 to 6027 computations (48% saved)

regimes379.0ms (5.5%)

Accuracy

Total -56.4b remaining (-878.7%)

Threshold costs -56.4b (-878.7%)

Counts

49 → 5

Compiler

Compiled 1675 to 942 computations (43.8% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.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)))

Steps

Iters	Point		Range
5e+295	∈ [	3.788456071621892e+295	,	#hash((type . real) (value . +inf))	]
0.0	∈ [	0.0	,	4.740373171022659e-278	]
-5e-226	∈ [	-6.74614497106285e-226	,	-8.72012437501295e-244	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-2.1940223662829474e+293	]

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	448
1	91	440
2	122	440
3	143	440
4	155	440
5	158	440

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) -inf.0) (if (>=.f64 b 0) (/.f64 b a) (*.f64 -1 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) -3334007216439927/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (*.f64 -1 (/.f64 b a)))))))

Outputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) -inf.0) (if (>=.f64 b 0) (/.f64 b a) (*.f64 -1 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) -3334007216439927/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.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))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (*.f64 -1 (/.f64 b a)))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 b a) (neg.f64 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) -3334007216439927/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (neg.f64 (/.f64 b a)))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 b a) (neg.f64 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -3334007216439927/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a -2))) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (neg.f64 (/.f64 b a)))))))

end358.0ms (5.2%)

Stop Event

1×

fuel

Compiler

Compiled 1043 to 594 computations (43% saved)

Details

analyze1.4s (20.2%)

sample1.8s (26.1%)

preprocess38.0ms (0.6%)

simplify32.0ms (0.5%)

prune5.0ms (0.1%)

localize19.0ms (0.3%)

series28.0ms (0.4%)

rewrite77.0ms (1.1%)

simplify56.0ms (0.8%)

prune751.0ms (10.9%)

localize18.0ms (0.3%)

series17.0ms (0.2%)

rewrite52.0ms (0.8%)

simplify30.0ms (0.4%)

prune496.0ms (7.2%)

localize48.0ms (0.7%)

series21.0ms (0.3%)

rewrite73.0ms (1.1%)

simplify63.0ms (0.9%)

prune328.0ms (4.8%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite51.0ms (0.7%)

simplify11.0ms (0.2%)

prune719.0ms (10.4%)

regimes379.0ms (5.5%)

bsearch2.0ms (0%)

simplify13.0ms (0.2%)

end358.0ms (5.2%)

Profiling