Details

analyze1.0s (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12
33.8%	45.6%	20.5%	13
38.8%	38.9%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.4s (38.6%)

Results

772.0ms	5368×	body	128	valid
625.0ms	1127×	body	2048	valid
387.0ms	801×	body	1024	valid
297.0ms	422×	body	4096	valid
152.0ms	1042×	body	128	invalid
120.0ms	350×	body	512	valid
44.0ms	188×	body	256	valid

preprocess28.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

296×	`rule-/abc-b/ac_binary64`
261×	`rule-*a/cb-/a/bc_binary64`
253×	`rule-/ab-*+aa/1/2b_binary64`
214×	`rule-a-bc-nega-cb_binary64`
196×	`rule-a-*a1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	282	96
2	1100	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

402×	`rule-/ab-*+aa/1/2b_binary64`
362×	`rule-a-*a1_binary64`
362×	`rule-a--a0_binary64`
362×	`rule-a-+a0_binary64`
359×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	102	24
2	404	22
3	2211	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (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

34.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	34.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
▶	34.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series28.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	b	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

180×	`add-sqr-sqrt_binary64`
172×	`pow1_binary64`
172×	`rules-30_binary64`
172×	`rules-31_binary64`
172×	`rules-32_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	406	70

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

311×	`fma-neg_binary64`
285×	`rule-a-*a1_binary64`
285×	`rule-a--a0_binary64`
285×	`rule-a-+a0_binary64`
285×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	167	2454
1	1302	2383

Stop Event

1×	node limit

Counts

235 → 222

Calls

Call 1

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

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

prune237.0ms (3.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	210	12	222
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	211	13	224

Error

6.1b

Counts

224 → 13

Alt Table

Status	Error	Program
	34.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
	47.9b	(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
	49.6b	(cbrt.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)))))
	40.7b	(/.f64 (neg.f64 c) b)
	48.0b	(/.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (.f64 (.f64 c c) (.f64 a (/.f64 a (pow.f64 b 3)))))) (.f64 2 a))
	41.8b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
	44.6b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 2 a))
	47.7b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))
	34.6b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (.f64 a 2)))
	47.5b	(.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (*.f64 a 2))))
▶	34.1b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (*.f64 a 2)))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (.f64 2 a))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))

Compiler

Compiled 6908 to 3966 computations (42.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
	0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	7.6b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (*.f64 a 2)))
	23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series12.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

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

rewrite35.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`add-sqr-sqrt_binary64`
183×	`pow1_binary64`
183×	`rules-30_binary64`
183×	`rules-31_binary64`
183×	`rules-32_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	430	51

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

549×	`rule-a-*a1_binary64`
549×	`rule-a--a0_binary64`
549×	`rule-a-+a0_binary64`
544×	`rule-a-/a1_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1189
1	803	1105
2	3292	1093

Stop Event

1×	node limit

Counts

90 → 102

Calls

Call 1

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

Outputs
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a)
(/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (/.f64 a 1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)))
(fma.f64 -1/2 (/.f64 b a) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a))
(/.f64 (+.f64 (.f64 1/2 (sqrt.f64 (.f64 (.f64 c a) -4))) (.f64 -1/2 b)) a)
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a)))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (/.f64 (+.f64 (.f64 1/2 (sqrt.f64 (.f64 (.f64 c a) -4))) (.f64 -1/2 b)) a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3)) (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (/.f64 a 1/2)))))
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 c (neg.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 c (neg.f64 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 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 c (neg.f64 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 c c) (.f64 -2 (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 c c) (.f64 a (.f64 -2 a))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 (neg.f64 c) b))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 c c) (.f64 a (.f64 -2 a))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 c (neg.f64 b)))))
(*.f64 -1 (/.f64 b a))
(*.f64 (/.f64 b a) -1)
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 b a) -1))
(fma.f64 (/.f64 b a) -1 (/.f64 c b))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 (/.f64 b a) -1)))
(fma.f64 a (*.f64 c (/.f64 c (pow.f64 b 3))) (fma.f64 (/.f64 b a) -1 (/.f64 c b)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (+.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (*.f64 (/.f64 b a) -1))))
(fma.f64 a (.f64 c (/.f64 c (pow.f64 b 3))) (fma.f64 2 (.f64 (pow.f64 c 3) (/.f64 (*.f64 a a) (pow.f64 b 5))) (fma.f64 (/.f64 b a) -1 (/.f64 c b))))
(/.f64 (+.f64 (.f64 -1/2 b) (.f64 1/2 b)) a)
(/.f64 (fma.f64 -1/2 b (*.f64 1/2 b)) a)
(*.f64 (/.f64 b a) 0)
0
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 c (neg.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 c (neg.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 1/2 (/.f64 b a))))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 c (neg.f64 b))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 1/2 (/.f64 b a)))
(/.f64 (fma.f64 -1/2 b (*.f64 1/2 b)) a)
(*.f64 (/.f64 b a) 0)
0
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 c (neg.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 c (neg.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 1/2 (/.f64 b a))))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (/.f64 c (neg.f64 b))))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a)
(/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (/.f64 a 1/2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a)))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) a) (/.f64 1/4 (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (*.f64 b (/.f64 b a)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a)))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3)) (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (/.f64 a 1/2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b 6) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a)))))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (fma.f64 1/32 (/.f64 (/.f64 (pow.f64 b 6) a) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5)) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 1/2) a))))
(fma.f64 1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3)) (fma.f64 1/32 (/.f64 (/.f64 (pow.f64 b 6) a) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 5)) (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (/.f64 a 1/2)))))
(*.f64 1/2 (/.f64 b a))
(*.f64 b (/.f64 1/2 a))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a)))
(fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))
(fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 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 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(+.f64 (/.f64 c b) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 c b))
(fma.f64 -1/2 (/.f64 b a) (/.f64 c b))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1/2 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 a (*.f64 c (/.f64 c (pow.f64 b 3))) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(+.f64 (/.f64 c b) (+.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (/.f64 b a) (/.f64 2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (.f64 a a)))))))
(fma.f64 a (.f64 c (/.f64 c (pow.f64 b 3))) (+.f64 (/.f64 c b) (fma.f64 -1/2 (/.f64 b a) (.f64 2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5)))))))
(*.f64 1/2 (/.f64 b a))
(*.f64 b (/.f64 1/2 a))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a)))
(fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))
(fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 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 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))))
(*.f64 1/2 (/.f64 b a))
(*.f64 b (/.f64 1/2 a))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a)))
(fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))
(fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (*.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b)))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 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 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 (neg.f64 c) b))))
(fma.f64 -1 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (pow.f64 c 3) (/.f64 (.f64 a a) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 b a) (/.f64 c (neg.f64 b)))))

prune203.0ms (3.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	203	15	218

Error

6.1b

Counts

218 → 15

Alt Table

Status	Error	Program
▶	34.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
	47.9b	(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
	57.4b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (+.f64 b (.f64 -2 (.f64 c (/.f64 a b)))) (.f64 a 2)))
	49.6b	(cbrt.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)))))
	40.7b	(/.f64 (neg.f64 c) b)
	50.5b	(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 a -2)) 3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) (.f64 a 2)) 3)) (+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) (.f64 a 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) (.f64 a 2))) (-.f64 (.f64 (/.f64 b (.f64 a -2)) (/.f64 b (.f64 a -2))) (.f64 (/.f64 b (.f64 a -2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) (*.f64 a 2))))))
	34.6b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (.f64 a 2)))
	48.0b	(/.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (.f64 (.f64 c c) (.f64 a (/.f64 a (pow.f64 b 3)))))) (.f64 2 a))
	41.8b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
	44.6b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 2 a))
	47.7b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))
	47.5b	(.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (*.f64 a 2))))
✓	34.1b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (*.f64 a 2)))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (.f64 2 a))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))

Compiler

Compiled 7128 to 4352 computations (38.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
✓	1.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	1.8b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b)
✓	23.6b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

series19.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
1.0ms	a	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b)
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))
0.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) b) (/.f64 1/2 a))

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

260×	`rule-nega-/a-1_binary64`
260×	`rule-nega-*a-1_binary64`
150×	`add-sqr-sqrt_binary64`
143×	`pow1_binary64`
143×	`rules-30_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	341	59
2	4617	59

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-neg_binary64`
281×	`rule-a-*a1_binary64`
281×	`rule-a--a0_binary64`
281×	`rule-a-+a0_binary64`
281×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	2408
1	1289	2383

Stop Event

1×	node limit

Counts

262 → 246

Calls

Call 1

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

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

prune247.0ms (4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	240	6	246
Fresh	5	8	13
Picked	1	0	1
Done	0	1	1
Total	246	15	261

Error

6.0b

Counts

261 → 15

Alt Table

Status	Error	Program
	47.6b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b) (/.f64 1/2 a)) 3))
	44.6b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 2 a))
	43.9b	(/.f64 (/.f64 1/2 a) (/.f64 (+.f64 (fma.f64 b b (.f64 a (.f64 -4 c))) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 -4 c))) 3/2) (pow.f64 b 3))))
	47.9b	(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
	31.4b	(/.f64 (/.f64 1/2 a) (/.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) b)))
	47.7b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))
	57.4b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (+.f64 b (.f64 -2 (.f64 c (/.f64 a b)))) (.f64 a 2)))
	40.7b	(/.f64 (neg.f64 c) b)
▶	31.4b	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 b -2)) (/.f64 1/2 a))
	34.6b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (.f64 a 2)))
	48.0b	(/.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (.f64 (.f64 c c) (.f64 a (/.f64 a (pow.f64 b 3)))))) (.f64 2 a))
	33.3b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b))) (/.f64 1/2 a))
	31.5b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b)) 2) (/.f64 1/2 a))
✓	34.1b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (*.f64 a 2)))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))

Compiler

Compiled 6589 to 4307 computations (34.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))
✓	0.2b	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 b -2)) (/.f64 1/2 a))
✓	0.8b	(+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 b -2))
✓	12.6b	(sqrt.f64 (.f64 a (.f64 -4 c)))

series48.0ms (0.8%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 b -2))
4.0ms	a	@	-inf	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 b -2)) (/.f64 1/2 a))
4.0ms	c	@	inf	(-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))
3.0ms	a	@	inf	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 b -2)) (/.f64 1/2 a))
3.0ms	c	@	inf	(+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 b -2))

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

200×	`add-sqr-sqrt_binary64`
189×	`pow1_binary64`
189×	`rules-30_binary64`
189×	`rules-31_binary64`
189×	`rules-32_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	454	62

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

711×	`rule-a-+a0_binary64`
705×	`rule-a-/a1_binary64`
341×	`fma-def_binary64`
220×	`fma-neg_binary64`
219×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1518
1	1011	1383
2	4091	1371

Stop Event

1×	node limit

Counts

148 → 179

Calls

Call 1

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

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

prune181.0ms (2.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	180	14	194

Error

2.8b

Counts

194 → 14

Alt Table

Status	Error	Program
	47.6b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b) (/.f64 1/2 a)) 3))
	44.6b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 2 a))
	43.9b	(/.f64 (/.f64 1/2 a) (/.f64 (+.f64 (fma.f64 b b (.f64 a (.f64 -4 c))) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 -4 c))) 3/2) (pow.f64 b 3))))
	47.9b	(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
	31.4b	(/.f64 (/.f64 1/2 a) (/.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) b)))
	47.7b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))
	45.6b	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a))))) (.f64 b -2)) (/.f64 1/2 a))
	33.3b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b))) (/.f64 1/2 a))
✓	31.4b	(.f64 (+.f64 (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 b -2)) (/.f64 1/2 a))
	34.6b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b)) (.f64 a 2)))
	48.0b	(/.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (.f64 (.f64 c c) (.f64 a (/.f64 a (pow.f64 b 3)))))) (.f64 2 a))
	31.5b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) b)) 2) (/.f64 1/2 a))
	40.7b	(/.f64 (neg.f64 c) b)
✓	34.1b	(+.f64 (/.f64 b (neg.f64 (.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (*.f64 a 2)))

Compiler

Compiled 5184 to 3598 computations (30.6% saved)

regimes831.0ms (13.3%)

Accuracy

Total -53.5b remaining (-510.8%)

Threshold costs -53.5b (-510.8%)

Counts

77 → 3

Compiler

Compiled 1630 to 969 computations (40.6% saved)

bsearch312.0ms (5%)

Algorithm

2×	binary-search

Calls

2 calls:

256.0ms	b
55.0ms	b

Steps

Iters	Point		Range
6.5e-18	∈ [	6.492184870391664e-18	,	1.5279166211136432e-14	]
-3.5e+152	∈ [	-1.3288899578003665e+156	,	-3.4621860890441446e+152	]

Compiler

Compiled 522 to 371 computations (28.9% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	56

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -349999999999999981299619709475567412636749174758536760746825232213187044626699217561156140144611668304793384316062770151616854812531005478560753858379776) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) (if (<=.f64 b 8437482395119095/1298074214633706907132624082305024) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

Outputs

(if (<=.f64 b -349999999999999981299619709475567412636749174758536760746825232213187044626699217561156140144611668304793384316062770151616854812531005478560753858379776) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) (if (<=.f64 b 8437482395119095/1298074214633706907132624082305024) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

end180.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 333 to 199 computations (40.2% saved)

Details

analyze1.0s (16.5%)

sample2.4s (38.6%)

preprocess28.0ms (0.4%)

simplify27.0ms (0.4%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series28.0ms (0.4%)

rewrite60.0ms (1%)

simplify46.0ms (0.7%)

prune237.0ms (3.8%)

localize13.0ms (0.2%)

series12.0ms (0.2%)

rewrite35.0ms (0.6%)

simplify46.0ms (0.7%)

prune203.0ms (3.2%)

localize10.0ms (0.2%)

series19.0ms (0.3%)

rewrite73.0ms (1.2%)

simplify46.0ms (0.7%)

prune247.0ms (4%)

localize13.0ms (0.2%)

series48.0ms (0.8%)

rewrite42.0ms (0.7%)

simplify54.0ms (0.9%)

prune181.0ms (2.9%)

regimes831.0ms (13.3%)

bsearch312.0ms (5%)

simplify1.0ms (0%)

end180.0ms (2.9%)

Profiling