Details

analyze1.3s (15.4%)

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 (20.5%)

Results

1.6s	8256×	body	128	valid
211.0ms	1047×	body	128	invalid

preprocess35.0ms (0.4%)

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 (0.4%)

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)))

eval1.0ms (0%)

Compiler: Compiled 75 to 45 computations (40% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

21.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status

Error

Program

21.5b

(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)))

▶

21.4b

(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)))

Compiler

Compiled 156 to 98 computations (37.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series24.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
148×	`*-un-lft-identity_binary64`
148×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4348	56

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
596×	`fma-def_binary64`
443×	`associate-/l*_binary64`
429×	`associate-/r*_binary64`
266×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2281
1	396	2186
2	1373	2061

Stop Event

1×	node limit

Counts

263 → 229

Calls

Call 1

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

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

eval215.0ms (2.5%)

Compiler: Compiled 16191 to 9558 computations (41% saved)

prune1.4s (16%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	331	6	337
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	332	7	339

Error

7.1b

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(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 b -2) (.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.5b	(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)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	21.4b	(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 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 706 to 454 computations (35.7% saved)

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	24.0b	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))
✓	52.8b	(fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series25.0ms (0.3%)

Counts

3 → 80

Calls

24 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`log1p-udef_binary64`
183×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
176×	`pow1_binary64`
170×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	366	43
2	4998	43

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Inputs

(fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c)))

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

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

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

Outputs

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

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

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

563×	`times-frac_binary64`
414×	`associate-/l*_binary64`
414×	`fma-def_binary64`
349×	`distribute-rgt-in_binary64`
318×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1514
1	384	991
2	1487	951

Stop Event

1×	node limit

Counts

151 → 111

Calls

Call 1

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

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

eval158.0ms (1.8%)

Compiler: Compiled 11769 to 6905 computations (41.3% saved)

prune544.0ms (6.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	184	8	192

Error

7.1b

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(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 b -2) (.f64 2 a)))
▶	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.5b	(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)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.9b	(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) (-.f64 (.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2) b)) (.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	21.4b	(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 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 726 to 470 computations (35.3% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	24.0b	(sqrt.f64 (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	24.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	24.6b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series24.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	a	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
170×	`log-pow_binary64`
165×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	288	38
2	3251	38

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4)

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

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

Outputs

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

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
234×	`distribute-rgt-out_binary64`
222×	`associate-r_binary64`
201×	`*-commutative_binary64`
178×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	3262
1	975	2979
2	3866	2739

Stop Event

1×	node limit

Counts

163 → 136

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(sqrt.f64 (*.f64 -1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (sqrt.f64 (*.f64 -1 b)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (.f64 -1 b))) (pow.f64 b 4)) (+.f64 (.f64 -1 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (sqrt.f64 (*.f64 -1 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (+.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))))) (pow.f64 b 4)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (pow.f64 b 6)))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (sqrt.f64 b)) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (sqrt.f64 b)) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (sqrt.f64 b)) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) (sqrt.f64 b)) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) (sqrt.f64 b)) (+.f64 (sqrt.f64 b) (+.f64 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b)) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))))
(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))))
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))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 (.f64 -7/8192 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4)) (pow.f64 b 6) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(sqrt.f64 (neg.f64 b))
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(-.f64 (/.f64 (.f64 (.f64 2 c) a) b) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))) (neg.f64 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 2 (/.f64 a (/.f64 b c)) (-.f64 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 a (/.f64 b 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 a (/.f64 b c)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 a (/.f64 b 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 a (/.f64 b c)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 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 b b)) (sqrt.f64 (.f64 -4 (.f64 c a)))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (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))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (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))))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5)) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 5))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 a (/.f64 b 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 a (/.f64 b c)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (.f64 (.f64 2 c) a) b) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))) (neg.f64 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 2 (/.f64 a (/.f64 b c)) (-.f64 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 a (/.f64 b 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 a (/.f64 b c)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 a (/.f64 b 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 a (/.f64 b c)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) b))

eval338.0ms (3.9%)

Compiler: Compiled 21408 to 13677 computations (36.1% saved)

prune848.0ms (9.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	267	7	274

Error

7.1b

Counts

274 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(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)))
	21.9b	(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) (-.f64 (.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2) b)) (.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	21.4b	(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 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/4)) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.8b	(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 b -2) (.f64 2 a)))

Compiler

Compiled 632 to 408 computations (35.4% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
	24.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
	24.6b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
✓	24.8b	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series12.0ms (0.1%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
4.0ms	b	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	c	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	a	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	c	@	inf	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	177	13
2	2007	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
533×	`times-frac_binary64`
380×	`unswap-sqr_binary64`
334×	`*-commutative_binary64`
170×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	694
1	293	694
2	1090	694
3	2735	694

Stop Event

1×	node limit

Counts

33 → 38

Calls

Call 1

Inputs
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2))))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))

Outputs
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 -16/9 (.f64 a (.f64 a (.f64 c c)))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) 320/27)) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) 320/27)) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 -16/9 (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) (.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27)))) (cbrt.f64 (*.f64 b b)))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 -16/9 (.f64 a (.f64 a (.f64 c c)))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) 320/27)) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) 320/27)) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -4/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 -16/9 (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 a 3) (.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27)))) (cbrt.f64 (*.f64 b b)))))
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 (.f64 (.f64 b b) 1/3) (pow.f64 (cbrt.f64 -4) 2)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 -4) 2))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)) -1/9))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (.f64 (pow.f64 b 4) -1/9) (pow.f64 (cbrt.f64 -4) 5)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (.f64 1/3 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (*.f64 (pow.f64 b 4) -1/9) (pow.f64 (cbrt.f64 -4) 5)))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 -4) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (.f64 5/81 (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (.f64 (pow.f64 b 4) -1/9) (pow.f64 (cbrt.f64 -4) 5)) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 (.f64 (*.f64 b b) 1/3) (pow.f64 (cbrt.f64 -4) 2))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (.f64 5/81 (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (.f64 1/3 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (*.f64 (pow.f64 b 4) -1/9) (pow.f64 (cbrt.f64 -4) 5))))))

eval376.0ms (4.3%)

Compiler: Compiled 23965 to 15149 computations (36.8% saved)

prune735.0ms (8.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	260	7	267

Error

7.1b

Counts

267 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(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)))
	21.9b	(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) (-.f64 (.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2) b)) (.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	21.4b	(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 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/4)) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.8b	(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 b -2) (.f64 2 a)))

Compiler

Compiled 348 to 224 computations (35.6% saved)

regimes116.0ms (1.3%)

Accuracy

Total -30.0b remaining (-387%)

Threshold costs -30.0b (-387%)

Counts

10 → 5

Calls

Call 1

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

Results

Time	Error	Segments	Branch
30.0ms	16.4b	5	`a`
18.0ms	7.9b	3	`b`
35.0ms	15.2b	6	`c`
22.0ms	7.8b	5	`(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)))`

Compiler

Compiled 540 to 320 computations (40.7% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Point		Range
0.0ms	1e+194	∈ [	6.282774585712679e+193	,	4.253783344452569e+195	]
0.0ms	-0.0	∈ [	-0.0	,	7.1973606215248e-310	]
0.0ms	-5e-268	∈ [	-8.579286396051836e-268	,	-5.295707167447145e-279	]
0.0ms	#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-1.2273735093258405e+275	]

Compiler

Compiled 47 to 31 computations (34% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	564
1	80	550
2	111	550
3	135	550
4	147	550
5	151	550

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 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (*.f64 b -2) (*.f64 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))) -290432989937067/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 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))) 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 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 (*.f64 4 a) c))))) (/.f64 (*.f64 b -2) (*.f64 2 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 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (*.f64 b -2) (*.f64 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))) -290432989937067/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 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))) 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 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 (*.f64 4 a) c))))) (/.f64 (*.f64 b -2) (*.f64 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))) -inf.0) (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 b -2) (*.f64 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))) -290432989937067/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 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))) 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c 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 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (*.f64 b -2) (*.f64 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))) -inf.0) (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 b -2) (*.f64 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))) -290432989937067/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a)))))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 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))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 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))) 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 c a)))))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.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 b -2) (*.f64 2 a)))))))

end113.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 734 to 438 computations (40.3% saved)

Details

analyze1.3s (15.4%)

sample1.8s (20.5%)

preprocess35.0ms (0.4%)

simplify32.0ms (0.4%)

eval1.0ms (0%)

prune3.0ms (0%)

localize18.0ms (0.2%)

series24.0ms (0.3%)

rewrite70.0ms (0.8%)

simplify48.0ms (0.6%)

eval215.0ms (2.5%)

prune1.4s (16%)

localize69.0ms (0.8%)

series25.0ms (0.3%)

rewrite58.0ms (0.7%)

simplify64.0ms (0.7%)

eval158.0ms (1.8%)

prune544.0ms (6.2%)

localize32.0ms (0.4%)

series24.0ms (0.3%)

rewrite50.0ms (0.6%)

simplify79.0ms (0.9%)

eval338.0ms (3.9%)

prune848.0ms (9.7%)

localize42.0ms (0.5%)

series12.0ms (0.1%)

rewrite35.0ms (0.4%)

simplify34.0ms (0.4%)

eval376.0ms (4.3%)

prune735.0ms (8.4%)

regimes116.0ms (1.3%)

bsearch1.0ms (0%)

simplify12.0ms (0.1%)

end113.0ms (1.3%)

Profiling