Details

analyze1.1s (15.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	87.4%	6.4%	7
12.5%	81.1%	6.4%	8
18.3%	72.9%	8.7%	9
28.3%	58.3%	13.4%	10
33.7%	51.3%	15%	11
39.1%	42.9%	18.1%	12
45.7%	33.8%	20.6%	13
49.4%	28.3%	22.3%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (25.4%)

Results

1.6s	8256×	body	128	valid
230.0ms	1133×	body	128	invalid

preprocess40.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

623×	`fma-neg_binary64`
569×	`div-sub_binary64`
307×	`fma-def_binary64`
296×	`sub-neg_binary64`
276×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1724	200
5	3271	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 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)) (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)) (/.f64 (.f64 2 b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))))

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
260×	`associate-/l*_binary64`
249×	`cancel-sign-sub-inv_binary64`
205×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	546	50
5	993	50
6	2057	50
7	3568	50
8	4834	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

Status

Error

Program

▶

19.6b

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

19.7b

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

Compiler

Compiled 231 to 147 computations (36.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series48.0ms (0.7%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
25.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	c	@	0	(-.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	c	@	inf	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite73.0ms (1%)

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

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

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
596×	`fma-def_binary64`
443×	`associate-/l*_binary64`
431×	`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)))))
(.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))))))
(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)))

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

prune987.0ms (13.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	328	9	337
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	329	10	339

Error

5.5b

Counts

339 → 10

Alt Table

Status	Error	Program
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.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))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	19.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.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)))))))))
	22.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.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)))))
	22.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (*.f64 (/.f64 a b) c)) b))))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) 3))))
	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	18.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Compiler

Compiled 17035 to 10125 computations (40.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (+.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))
	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series17.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
3.0ms	b	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	b	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`
167×	`pow1_binary64`
162×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4934	22

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
563×	`associate-/l*_binary64`
242×	`distribute-rgt-in_binary64`
230×	`distribute-lft-in_binary64`
155×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	824
1	540	758
2	2234	680

Stop Event

1×	node limit

Counts

65 → 76

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 -1/2 (*.f64 c c))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 (.f64 c c) (.f64 (*.f64 (/.f64 a (pow.f64 b 3)) -1/2) -2) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (+.f64 (.f64 -2 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1 (/.f64 (.f64 a (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3))))) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (.f64 (+.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) (pow.f64 a 2))))))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (fma.f64 -2 (.f64 (pow.f64 c 3) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (+.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) (/.f64 (*.f64 a a) b)))))) (neg.f64 (/.f64 b a)))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 -1/2 (.f64 c c))) (.f64 (pow.f64 c 3) (-.f64 (fma.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) (/.f64 (.f64 a a) b)) (/.f64 a (/.f64 (pow.f64 b 5) a))) (.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)))))) (/.f64 b a)))
(fma.f64 -2 (.f64 (.f64 c c) (+.f64 (.f64 (/.f64 a (pow.f64 b 3)) -1/2) (.f64 (+.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (fma.f64 (/.f64 -1/8 a) (/.f64 b (/.f64 a (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20))) (/.f64 (.f64 a (.f64 (/.f64 1/2 (pow.f64 b 3)) a)) (*.f64 b b)))) c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (*.f64 a c)))))
(/.f64 2 (/.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) c))
(.f64 2 (/.f64 c (sqrt.f64 (.f64 (*.f64 a c) -4))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(.f64 2 (+.f64 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (/.f64 c (sqrt.f64 (.f64 -4 (*.f64 a c))))))
(.f64 2 (+.f64 (/.f64 c (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 b (/.f64 (.f64 (*.f64 -4 a) c) c))))
(.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (*.f64 a c) -4)))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))))))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (fma.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (.f64 a c)))) (.f64 -2 (.f64 (.f64 b b) (.f64 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 3)) -1/2)))))
(fma.f64 2 (+.f64 (/.f64 c (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 b (/.f64 (.f64 (.f64 -4 a) c) c))) (.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) 3)) (.f64 -2 (.f64 b b))))
(fma.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) 3)) (.f64 -2 (.f64 b b)) (.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (.f64 a c) -4))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))))))))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (fma.f64 -2 (.f64 (pow.f64 b 3) (.f64 0 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 4)))) (fma.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (.f64 a c)))) (.f64 -2 (.f64 (.f64 b b) (.f64 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 3)) -1/2))))))
(fma.f64 2 (/.f64 b (/.f64 (.f64 (.f64 -4 a) c) c)) (fma.f64 0 (pow.f64 b 3) (fma.f64 -2 (.f64 b (.f64 b (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) 3)))) (/.f64 2 (/.f64 (sqrt.f64 (.f64 (*.f64 -4 a) c)) c)))))
(+.f64 0 (fma.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) 3)) (.f64 -2 (.f64 b b)) (.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (.f64 a c) -4)))))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 -1/2 (*.f64 c c))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 (.f64 c c) (.f64 (*.f64 (/.f64 a (pow.f64 b 3)) -1/2) -2) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (+.f64 (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a)))))) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (.f64 a (.f64 c c)) -1/2) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (fma.f64 -1 (.f64 (.f64 a c) (.f64 (.f64 a (.f64 c c)) -1/2)) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 c (.f64 a a)))))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a (.f64 c c)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (fma.f64 -1/8 (/.f64 (fma.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (.f64 4 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 c (.f64 a a))) (.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -1/2) (neg.f64 c)))) (pow.f64 b 5)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 -2 (+.f64 (.f64 c (.f64 c (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 (fma.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (.f64 a (.f64 a c))) (.f64 a (-.f64 (.f64 a (pow.f64 c 3)) (.f64 c (.f64 (.f64 c c) (*.f64 a -1/2)))))) (pow.f64 b 5))) (-.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 c) b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (pow.f64 c 3))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) -5/2) (pow.f64 b 7)) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) -5/2))))) (/.f64 c b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 -2 (.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (pow.f64 c 3)) (.f64 2 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 7) -5/2) (pow.f64 c 4))))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 a (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)) (.f64 a -2)) (/.f64 b a)))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 -1/2 a)) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.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) c)) (+.f64 (.f64 -1 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (pow.f64 b 2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 a a) (fma.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)) (/.f64 c b)) (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) (fma.f64 -2 (.f64 a (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a)))))
(+.f64 (.f64 -2 (+.f64 (.f64 (.f64 a a) (fma.f64 -1/8 (.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) c) b) (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)))))) (.f64 a (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3))))) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 -2 (.f64 a (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) c) b) (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3)) -1/2) (.f64 b b)))) a) (.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 b 3))))) (-.f64 (/.f64 c b) (/.f64 b a)))

prune612.0ms (8.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	237	10	247

Error

5.5b

Counts

247 → 10

Alt Table

Status	Error	Program
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.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))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	19.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.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)))))))))
	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 (/.f64 a b) c)) b))))
▶	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	36.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) 2))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) 3))))
	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 -1 (/.f64 c b)))

Compiler

Compiled 10147 to 5987 computations (41% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	8.3b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
✓	23.9b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series45.0ms (0.6%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
4.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	inf	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)
2.0ms	a	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	c	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

279×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
176×	`fma-neg_binary64`
148×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	307	52
2	3755	52

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify127.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
355×	`times-frac_binary64`
303×	`associate-/l*_binary64`
298×	`associate-/r*_binary64`
217×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	548	8633
1	1948	7651

Stop Event

1×	node limit

Counts

274 → 323

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))))))
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.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))))))) (.f64 1/8 (/.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)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.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))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.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)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.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)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))

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 -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)))
(+.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 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.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))))
(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 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.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)))))))
(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 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (fma.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.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))))))))
(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 (*.f64 c 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 (.f64 c a) (.f64 c a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(sqrt.f64 (*.f64 -1 b))
(sqrt.f64 (neg.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (sqrt.f64 (*.f64 -1 b)))
(fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 b))))) (sqrt.f64 (neg.f64 b)))
(-.f64 (sqrt.f64 (neg.f64 b)) (.f64 (/.f64 c (.f64 b b)) (*.f64 a (sqrt.f64 (neg.f64 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 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 b))))) (sqrt.f64 (neg.f64 b))) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (/.f64 (pow.f64 b 4) (sqrt.f64 (neg.f64 b)))))
(+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 (.f64 (.f64 c a) (.f64 c a)) -3/2)) (.f64 (/.f64 c (.f64 b b)) (.f64 a (sqrt.f64 (neg.f64 b))))) (sqrt.f64 (neg.f64 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)))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 b))))) (sqrt.f64 (neg.f64 b))) (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (/.f64 (pow.f64 b 4) (sqrt.f64 (neg.f64 b)))) (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (pow.f64 b 6) (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))))))
(+.f64 (-.f64 (sqrt.f64 (neg.f64 b)) (.f64 (/.f64 c (.f64 b b)) (.f64 a (sqrt.f64 (neg.f64 b))))) (+.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 (.f64 (.f64 c a) (.f64 c a)) -3/2)) (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 6)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))
(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 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.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)))))))
(fma.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) (sqrt.f64 b) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
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b
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b
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(fma.f64 (+.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 2 (.f64 b (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2)))) (.f64 a a) (fma.f64 (fma.f64 2 (.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3))) (.f64 -2 (/.f64 c (/.f64 b (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2))))) (pow.f64 a 3) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2)) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (.f64 b (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (.f64 -2 (.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2)))) (fma.f64 -2 (.f64 (/.f64 c b) a) b)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) (.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) c) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) c) (/.f64 b (/.f64 a b))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
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(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.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)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) c) (/.f64 (.f64 b b) a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) (/.f64 (pow.f64 a 3) (fma.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 11/24576)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) (/.f64 (.f64 a a) (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) c) (/.f64 (.f64 (.f64 b b) (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512)) (pow.f64 a 3))) (.f64 1/256 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 -4 c)))) 2) (.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a)))))))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) c) (/.f64 b (/.f64 a b))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) -7/8192)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (pow.f64 a 3) (.f64 b b)))) (.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) (.f64 c c))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.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)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 c (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (.f64 2 (.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (/.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) c) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (pow.f64 a 3)))

prune851.0ms (11.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	322	11	333

Error

2.0b

Counts

333 → 11

Alt Table

Status	Error	Program
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.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))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	19.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.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)))))))))
	36.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) 3))))
	37.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)))
▶	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 (/.f64 a b) c)) b))))
✓	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	36.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) 2))

Compiler

Compiled 20502 to 13470 computations (34.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	3.1b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))
✓	3.3b	(*.f64 (/.f64 a b) c)
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series17.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(*.f64 (/.f64 a b) c)
2.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))
1.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))
1.0ms	c	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
152×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
145×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	292	27
2	4387	27

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
461×	`fma-neg_binary64`
327×	`div-sub_binary64`
201×	`associate-/l*_binary64`
173×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	620
1	18	566
2	31	566
3	43	566
4	57	566
5	87	566
6	151	566
7	217	566
8	379	566
9	786	566
10	1727	566
11	2901	566
12	3643	566
13	3859	566
14	4074	566
15	4140	566
16	4180	566
17	4192	566
18	4192	566

Stop Event

1×

saturated

Counts

139 → 74

Calls

Call 1

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

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

prune322.0ms (4.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	175	11	186

Error

2.0b

Counts

186 → 11

Alt Table

Status	Error	Program
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.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))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	36.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) 2))
	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (pow.f64 (cbrt.f64 (.f64 (/.f64 a b) c)) 3) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	19.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.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)))))))))
	36.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b)))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) 3))))
	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 (/.f64 a b) c)) b))))
✓	19.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	37.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b)))

Compiler

Compiled 8030 to 4492 computations (44.1% saved)

regimes387.0ms (5.4%)

Accuracy

Total -49.3b remaining (-697.6%)

Threshold costs -49.3b (-697.6%)

Counts

61 → 5

Compiler

Compiled 2085 to 1221 computations (41.4% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
0.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
0.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
0.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Steps

Iters	Point		Range
4e+287	∈ [	2.326720113339583e+287	,	1.7564648316870278e+288	]
0.0	∈ [	0.0	,	3.973055748134264e-269	]
-4e-251	∈ [	-4.93386054260481e-251	,	-1.7501097843131175e-252	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-2.075847837236609e+293	]

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-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	53	512
1	76	498
2	103	498
3	125	498
4	140	498
5	148	498
6	150	498

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 (/.f64 a b) c)) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))))))

Outputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 (/.f64 a b) c)) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (*.f64 c 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 c (/.f64 a b))) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (*.f64 c 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (*.f64 c 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (-.f64 (*.f64 2 (*.f64 c (/.f64 a b))) b) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (*.f64 c 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))))))

end286.0ms (4%)

Stop Event

1×

fuel

Compiler

Compiled 1068 to 646 computations (39.5% saved)

Details

analyze1.1s (15.2%)

sample1.8s (25.4%)

preprocess40.0ms (0.5%)

simplify46.0ms (0.6%)

prune5.0ms (0.1%)

localize21.0ms (0.3%)

series48.0ms (0.7%)

rewrite73.0ms (1%)

simplify49.0ms (0.7%)

prune987.0ms (13.7%)

localize21.0ms (0.3%)

series17.0ms (0.2%)

rewrite57.0ms (0.8%)

simplify31.0ms (0.4%)

prune612.0ms (8.5%)

localize23.0ms (0.3%)

series45.0ms (0.6%)

rewrite57.0ms (0.8%)

simplify127.0ms (1.8%)

prune851.0ms (11.8%)

localize23.0ms (0.3%)

series17.0ms (0.2%)

rewrite52.0ms (0.7%)

simplify79.0ms (1.1%)

prune322.0ms (4.4%)

regimes387.0ms (5.4%)

bsearch2.0ms (0%)

simplify14.0ms (0.2%)

end286.0ms (4%)

Profiling