Details

analyze396.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.0s (11.3%)

Results

1.6s	8239×	body	64	valid
364.0ms	1596×	body	64	invalid
13.0ms	17×	body	128	valid

preprocess66.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

651×	`associate-/l*_binary64`
623×	`fma-neg_binary64`
569×	`div-sub_binary64`
526×	`associate-/r*_binary64`
393×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1724	200
5	3271	200
6	7746	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
609×	`div-sub_binary64`
512×	`times-frac_binary64`
383×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	546	50
5	993	50
6	2057	50
7	3568	50
8	4834	50
9	6258	50
10	7682	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

18.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	18.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
▶	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

18.5b

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

▶

18.4b

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

Compiler

Compiled 231 to 144 computations (37.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4348	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
648×	`associate-r_binary64`
614×	`associate-l_binary64`
596×	`fma-def_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

512 → 477

Calls

Call 1

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

Outputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 -4 c) a))
(sqrt.f64 (.f64 a (.f64 c -4)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 -4 c) a))) (sqrt.f64 (.f64 (*.f64 -4 c) a)))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -4)))) (sqrt.f64 (.f64 a (*.f64 c -4))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b) (sqrt.f64 (.f64 a (*.f64 c -4))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 -4 c) a))) (sqrt.f64 (.f64 (.f64 -4 c) a))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 c) a)) 3))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -4)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 3)) (sqrt.f64 (.f64 a (*.f64 c -4)))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 3)) (sqrt.f64 (.f64 a (*.f64 c -4)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 c) a)) 5)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 -4 c) a))) (sqrt.f64 (.f64 (.f64 -4 c) a))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 c) a)) 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 5)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -4)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 3)) (sqrt.f64 (.f64 a (*.f64 c -4))))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 5)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 3)) (sqrt.f64 (.f64 a (*.f64 c -4))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
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(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 a (.f64 c -4))
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(fma.f64 (.f64 c -4) a (.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)
(*.f64 b b)
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(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 a (.f64 c -4))
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(pow.f64 b 2)
(*.f64 b b)
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(fma.f64 (.f64 c -4) a (.f64 b b))
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(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 a (.f64 c -4))
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(fma.f64 (.f64 c -4) a (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
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(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
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prune9.9s (55.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	719	12	731
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	720	13	733

Error

5.4b

Counts

733 → 13

Alt Table

Status	Error	Program
	21.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	31.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))
	24.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c))))))))
	18.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
	24.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	27.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
	19.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
▶	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))

Compiler

Compiled 38648 to 22811 computations (41% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))))
	22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.2b	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))
✓	52.9b	(fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series26.0ms (0.1%)

Counts

3 → 64

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))))
2.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))
1.0ms	c	@	-inf	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
393×	`fma-def_binary64`
376×	`pow2_binary64`
261×	`pow1/3_binary64`
261×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	317	69
2	4019	69

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Inputs

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

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

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

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

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

983×	`times-frac_binary64`
652×	`associate-/l*_binary64`
554×	`fma-def_binary64`
493×	`associate-/r*_binary64`
382×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1400
1	521	1244
2	1827	1155

Stop Event

1×	node limit

Counts

232 → 232

Calls

Call 1

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

Outputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 a (.f64 c -4)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (.f64 c -4))) (.f64 b b)) (sqrt.f64 (.f64 c (*.f64 a -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (.f64 c -4))) (.f64 (*.f64 b b) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (sqrt.f64 (.f64 c (*.f64 a -4)))))
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b
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b
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b
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(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 a (.f64 c -4)) 2)) 2) (.f64 1/16 (pow.f64 (.f64 a (.f64 c -4)) 4))) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 (.f64 c (.f64 a -4)) 4) (.f64 (pow.f64 (.f64 c (.f64 a -4)) 4) 1/64)) (pow.f64 b 7)) (fma.f64 1/2 (.f64 (/.f64 a b) (.f64 c -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 c (.f64 a -4)) 4) 5/64) (pow.f64 b 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (*.f64 c a) 3) -64) (pow.f64 b 5)) (/.f64 -2 (/.f64 (/.f64 b c) a)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) c) b)))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 a b) (*.f64 c -4)) -1/2))
(fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a)))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (*.f64 -2 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 a b) (*.f64 c -4)) -1/2))
(fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 (/.f64 b c) a)))))

prune1.3s (7.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	287	13	300

Error

5.4b

Counts

300 → 13

Alt Table

Status	Error	Program
	21.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	31.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))
	24.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c))))))))
▶	18.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
✓	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 b -2) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	24.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	27.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
	19.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))

Compiler

Compiled 18519 to 11316 computations (38.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b)
✓	1.7b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	22.2b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
472×	`fma-def_binary64`
404×	`pow-prod-down_binary64`
314×	`pow2_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	240	53
2	3255	53

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 c -4)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 a (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 a (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 a (.f64 c -4)) 3)) (+.f64 (pow.f64 (.f64 b b) 2) (-.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (.f64 (.f64 b b) (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 a c) 2) 16)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4)))) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 b b)) (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))))))))

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
678×	`fma-def_binary64`
636×	`associate-r_binary64`
601×	`associate-l_binary64`
432×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	2274
1	416	2177
2	1384	2047
3	7734	2047

Stop Event

1×	node limit

Counts

313 → 293

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

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

prune1.9s (10.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	386	1	387
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	386	14	400

Error

5.4b

Counts

400 → 14

Alt Table

Status	Error	Program
	21.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	31.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))
	24.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c))))))))
✓	18.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
✓	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 b -2) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	24.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	27.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 b -2)))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
▶	19.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))

Compiler

Compiled 17952 to 10811 computations (39.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	2.6b	(*.f64 (/.f64 a b) c)
✓	4.5b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b))))
	22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
698×	`log-prod_binary64`
290×	`fma-def_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	268	27
2	4017	27

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-*l/_binary64`
708×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
500×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1343
1	155	1319
2	580	1279
3	3262	1275

Stop Event

1×	node limit

Counts

148 → 92

Calls

Call 1

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

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

prune1.1s (6.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	284	8	292
Fresh	5	6	11
Picked	1	0	1
Done	0	2	2
Total	290	16	306

Error

5.4b

Counts

306 → 16

Alt Table

Status	Error	Program
	26.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a)))) (neg.f64 b)))))
	20.6b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))
	43.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	21.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	31.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))
	25.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))
	24.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c))))))))
✓	18.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (*.f64 -1 (/.f64 c b)))
	38.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (exp.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (+.f64 b b)) c)))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	27.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 b -2) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
	19.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
✓	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	38.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (+.f64 b b)) c)) 3) 1/3))

Compiler

Compiled 14367 to 7905 computations (45% saved)

regimes182.0ms (1%)

Accuracy

Total -53.0b remaining (-899.4%)

Threshold costs -53.0b (-899.4%)

Counts

24 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a)))) (neg.f64 b)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (*.f64 -1 (/.f64 c b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (exp.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (+.f64 b b)) c)))))
(if (>=.f64 b 0) (/.f64 (.f64 b -2) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (+.f64 b b)) c)) 3) 1/3))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 b -2)))))
(if (>=.f64 b 0) (/.f64 (.f64 b -2) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 4 (*.f64 a c))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 4 (.f64 a c)))) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (.f64 (/.f64 a b) c) (neg.f64 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

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

Results

57.0ms	14.7b	`a`
29.0ms	5.9b	`b`
39.0ms	14.1b	`c`
35.0ms	5.9b	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 978 to 558 computations (42.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

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

Steps

Iters	Point		Range
4e+281	∈ [	2.0827479444592028e+281	,	6.330835540888271e+305	]
0.0	∈ [	0.0	,	2.079574335580481e-296	]
-2e-236	∈ [	-2.146285356844768e-236	,	-1.701013955797271e-244	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-2.126296123935435e+254	]

Compiler

Compiled 47 to 31 computations (34% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	510
1	81	492
2	110	492
3	137	492
4	153	492
5	161	492
6	163	492

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -2291112313477997/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 a b) c))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000013112898393144839299428282113208597425705333430976377041278949734371173751468964717221526999032729660327480653870764278278397596440517217008449911521698248026326109308942059838596131419565004120251637040556977934260852379425930401848831514270724342042280505880084480) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))))))

Outputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -2291112313477997/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 a b) c))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000013112898393144839299428282113208597425705333430976377041278949734371173751468964717221526999032729660327480653870764278278397596440517217008449911521698248026326109308942059838596131419565004120251637040556977934260852379425930401848831514270724342042280505880084480) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 (/.f64 a b) c) (neg.f64 b)))))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -2291112313477997/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (*.f64 2 (*.f64 c (/.f64 a b)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 400000000000000013112898393144839299428282113208597425705333430976377041278949734371173751468964717221526999032729660327480653870764278278397596440517217008449911521698248026326109308942059838596131419565004120251637040556977934260852379425930401848831514270724342042280505880084480) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b)))))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b)) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -2291112313477997/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 0) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (*.f64 2 (*.f64 c (/.f64 a b)))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b)) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 400000000000000013112898393144839299428282113208597425705333430976377041278949734371173751468964717221526999032729660327480653870764278278397596440517217008449911521698248026326109308942059838596131419565004120251637040556977934260852379425930401848831514270724342042280505880084480) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (fma.f64 2 (*.f64 c (/.f64 a b)) (neg.f64 b)) b)))))))

end102.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 662 to 390 computations (41.1% saved)

Details

analyze396.0ms (2.2%)

sample2.0s (11.3%)

preprocess66.0ms (0.4%)

simplify58.0ms (0.3%)

prune5.0ms (0%)

localize21.0ms (0.1%)

series27.0ms (0.1%)

rewrite130.0ms (0.7%)

simplify70.0ms (0.4%)

prune9.9s (55.5%)

localize30.0ms (0.2%)

series26.0ms (0.1%)

rewrite91.0ms (0.5%)

simplify45.0ms (0.3%)

prune1.3s (7.5%)

localize17.0ms (0.1%)

series15.0ms (0.1%)

rewrite79.0ms (0.4%)

simplify84.0ms (0.5%)

prune1.9s (10.4%)

localize22.0ms (0.1%)

series11.0ms (0.1%)

rewrite58.0ms (0.3%)

simplify45.0ms (0.3%)

prune1.1s (6.4%)

regimes182.0ms (1%)

bsearch1.0ms (0%)

simplify12.0ms (0.1%)

end102.0ms (0.6%)

Profiling