Details

analyze639.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (28.9%)

Results

708.0ms	5411×	body	128	valid
586.0ms	1155×	body	2048	valid
311.0ms	749×	body	1024	valid
249.0ms	392×	body	4096	valid
136.0ms	1075×	body	128	invalid
123.0ms	373×	body	512	valid
41.0ms	176×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess43.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
685×	`div-sub_binary64`
295×	`fma-neg_binary64`
210×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	445	88
4	763	88
5	1256	88
6	2230	88
7	4450	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
619×	`times-frac_binary64`
367×	`fma-def_binary64`
242×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	267	22
5	436	22
6	747	22
7	1335	22
8	2689	22
9	4086	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

34.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	34.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	34.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	0.3b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series36.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	b	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
2.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	342	62
2	4911	62

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
430×	`fma-def_binary64`
422×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1403	2078

Stop Event

1×	node limit

Counts

254 → 232

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 (.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.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)))))) (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 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -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)))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.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))))) b)
(-.f64 (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))

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

prune190.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	226	8	234

Error

3.8b

Counts

234 → 8

Alt Table

Status	Error	Program
	48.2b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (*.f64 2 a))
	41.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.3b	(/.f64 (neg.f64 c) b)
▶	34.5b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 a))
	34.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 2 a))
	57.6b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (*.f64 a 2))))
	41.3b	(/.f64 (neg.f64 b) a)

Compiler

Compiled 6098 to 3807 computations (37.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 a))
✓	0.3b	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	1.2b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	23.8b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

series16.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`prod-diff_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	285	61
2	3428	61

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
430×	`fma-def_binary64`
422×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1403	2078

Stop Event

1×	node limit

Counts

212 → 190

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 (.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.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)))))) (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 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -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)))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.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))))) b)
(-.f64 (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))

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

prune153.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	188	10	198

Error

3.8b

Counts

198 → 10

Alt Table

Status	Error	Program
✓	34.5b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 a))
▶	31.6b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
	48.2b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (*.f64 2 a))
	41.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.3b	(/.f64 (neg.f64 c) b)
	34.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 2 a))
	36.3b	(/.f64 (fma.f64 -1 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (*.f64 2 a))
	57.6b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (*.f64 a 2))))
	41.3b	(/.f64 (neg.f64 b) a)

Compiler

Compiled 4726 to 3099 computations (34.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	0.3b	(cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a)))
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
✓	14.3b	(sqrt.f64 (.f64 c (.f64 a -4)))

series637.0ms (8.5%)

Counts

4 → 20

Calls

33 calls:

Time	Variable		Point	Expression
249.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
132.0ms	a	@	inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
61.0ms	c	@	0	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
49.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
27.0ms	c	@	inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
265×	`prod-diff_binary64`
161×	`add-sqr-sqrt_binary64`
151×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	356	71
2	3857	71

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
(cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1/2 a)))
(fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-l_binary64`
417×	`fma-def_binary64`
388×	`times-frac_binary64`
334×	`cancel-sign-sub-inv_binary64`
325×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1286
1	407	1213
2	1355	1143

Stop Event

1×	node limit

Counts

146 → 166

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) 1/3) (cbrt.f64 1/2))
(-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (*.f64 (cbrt.f64 1/2) b))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2))))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 20))) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2)))))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(*.f64 -2 b)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))

Outputs
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(/.f64 1/2 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b)))
(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/18)) b)))
(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4) (pow.f64 a 13)) 1/18)) b)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b)))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (.f64 -1/2 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/18)) b)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (fma.f64 1/4 (/.f64 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) a) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4) (pow.f64 a 13)) 1/18)) b) -1/2)))
(fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18)) b))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 a 13)) 1/9) b))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (fma.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 a 13)) 1/18)) b))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) a) (/.f64 1/2 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18)) b) (.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 a 13)) 1/18)) b) -1/2 (/.f64 (.f64 -1/16 (/.f64 (pow.f64 b 4) a)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a)) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a)) (cbrt.f64 1/2))
(-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (*.f64 (cbrt.f64 1/2) b))))
(+.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18)) (*.f64 b (cbrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (cbrt.f64 1/2) (.f64 (.f64 -1/3 (.f64 b (cbrt.f64 1/2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18))))
(.f64 (cbrt.f64 1/2) (-.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18)) b))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2))))))
(-.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5)))) (.f64 (.f64 b b) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18)) (.f64 b (cbrt.f64 1/2))) (.f64 1/9 (.f64 (.f64 (.f64 b b) (cbrt.f64 1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 7))) 1/18))))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 b b) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (cbrt.f64 1/2))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7)) 1/18) (.f64 b (.f64 b (cbrt.f64 1/2))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18) (cbrt.f64 1/2))) (.f64 b 1/3))))
(-.f64 (.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (.f64 (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5)))) (.f64 1/6 (.f64 b b))))) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18)) b)) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7))) 1/18)) (*.f64 b b))))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 20))) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2)))))))
(-.f64 (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 20))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 20))) 1/18)) (.f64 (cbrt.f64 1/2) (pow.f64 b 3))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5)))) (.f64 (.f64 b b) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2)))) (fma.f64 5/81 (.f64 (.f64 (cbrt.f64 1/2) (pow.f64 b 3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 a 5))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/18)) (.f64 b (cbrt.f64 1/2))) (.f64 1/9 (.f64 (.f64 (.f64 b b) (cbrt.f64 1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 7))) 1/18)))))))
(-.f64 (fma.f64 1/9 (.f64 (cbrt.f64 1/2) (.f64 (pow.f64 b 3) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 20)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 20)) 1/18)))) (fma.f64 1/6 (.f64 (.f64 b b) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (cbrt.f64 1/2)))) (fma.f64 5/81 (.f64 (cbrt.f64 1/2) (.f64 (pow.f64 b 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4))))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7)) 1/18) (.f64 b (.f64 b (cbrt.f64 1/2))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 c (.f64 a -4)))) 1/18) (cbrt.f64 1/2))) (*.f64 b 1/3)))))
(-.f64 (+.f64 (.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a)) (.f64 (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5)))) (.f64 1/6 (.f64 b b))))) (.f64 (.f64 (cbrt.f64 1/2) (pow.f64 b 3)) (-.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 20))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 20))) 1/18))) (.f64 5/81 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4))))))) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18)) b)) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 7))) 1/18)) (.f64 b b))))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4)))) b)
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3)) b))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a -4)) b))
(/.f64 (.f64 (.f64 c a) -2) b)
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 c (.f64 a -4)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4) (pow.f64 b 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (.f64 c a) -2) b))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a -4)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4) (pow.f64 b 3)) -1/8)))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (pow.f64 b 5)) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (.f64 c a) -2) b)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b))) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a -4)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8))) (.f64 -5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 8) (pow.f64 b 7))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (pow.f64 b 5)) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (.f64 c a) -2) b))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 8) (pow.f64 b 7)) -5/128))
(*.f64 -2 b)
(*.f64 b -2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b)))
(neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (*.f64 b 2)))
(+.f64 (.f64 (/.f64 (.f64 c (.f64 a -4)) b) -1/2) (.f64 b -2))
(-.f64 (.f64 b -2) (/.f64 (.f64 (*.f64 c a) -2) b))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (.f64 b 2)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a -4)) b) (.f64 b 2)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 b 2))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (pow.f64 b 5)) (.f64 b 2))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b))))

prune172.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	165	11	176

Error

1.7b

Counts

176 → 11

Alt Table

Status	Error	Program
	48.2b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (*.f64 2 a))
	41.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.3b	(/.f64 (neg.f64 c) b)
	47.5b	(.f64 (/.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (sqrt.f64 a)) (/.f64 1/2 (sqrt.f64 a)))
✓	34.5b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 a))
	34.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	46.7b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 1/2 a))) 3)
	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 2 a))
	55.2b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (*.f64 c a) -2) b)) (/.f64 1/2 a))) 3)
	41.3b	(/.f64 (neg.f64 b) a)
▶	31.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 1/2 a))) 2) (cbrt.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 5162 to 3607 computations (30.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)
✓	0.3b	(cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a)))
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))
✓	14.3b	(sqrt.f64 (.f64 -4 (.f64 c a)))

series96.0ms (1.3%)

Counts

4 → 8

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)
17.0ms	a	@	inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)
14.0ms	c	@	0	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)
9.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)
4.0ms	c	@	inf	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1/2 a))) 2)

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

295×	`log1p-udef_binary64`
258×	`prod-diff_binary64`
173×	`add-sqr-sqrt_binary64`
165×	`pow1_binary64`
163×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	368	66
2	4116	66

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-def_binary64`
381×	`cancel-sign-sub-inv_binary64`
368×	`*-commutative_binary64`
274×	`associate-/r*_binary64`
262×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1149
1	362	1095
2	1317	1021

Stop Event

1×	node limit

Counts

115 → 123

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) 1/3) (cbrt.f64 1/2))
(-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (*.f64 (cbrt.f64 1/2) b))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2))))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 20))) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2)))))))
(.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) (pow.f64 a 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2))
(-.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (pow.f64 a 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (pow.f64 a 10)) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) b))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (pow.f64 a 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 14) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (pow.f64 a 10)) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) b)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (pow.f64 a 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 10) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 17))) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 3)))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 14) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (pow.f64 a 10)) 1/9) (.f64 (pow.f64 (cbrt.f64 1/2) 2) b))) (.f64 4/81 (/.f64 (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 b 3)) (.f64 (pow.f64 a 2) (sqrt.f64 (.f64 -4 (*.f64 c a)))))))))

Outputs
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a)) (cbrt.f64 1/2))
(-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (*.f64 (cbrt.f64 1/2) b))))
(-.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/18))) (*.f64 (cbrt.f64 1/2) b)))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (.f64 -4 (.f64 c a))) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (.f64 -4 (.f64 c a))) 1/18) (.f64 (cbrt.f64 1/2) b))) -1/3))
(.f64 (cbrt.f64 1/2) (-.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 b (.f64 1/3 (.f64 (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1/4 (.f64 c a)) (pow.f64 a 7)) 1/18))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 b 2)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) 1/3) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) 1/9) (.f64 (cbrt.f64 1/2) b))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 11) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 b 2))))))
(-.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) (.f64 (cbrt.f64 1/2) (.f64 b b))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (cbrt.f64 1/2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/18)) (.f64 (cbrt.f64 1/2) b)) (.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 7)) 1/18))) (.f64 (cbrt.f64 1/2) (.f64 b b)))))
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prune188.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	150	11	161

Error

1.7b

Counts

161 → 11

Alt Table

Status	Error	Program
	48.2b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (*.f64 2 a))
	41.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.3b	(/.f64 (neg.f64 c) b)
	47.5b	(.f64 (/.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (sqrt.f64 a)) (/.f64 1/2 (sqrt.f64 a)))
✓	34.5b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 a))
	34.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	46.7b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 1/2 a))) 3)
	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 2 a))
	55.2b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (*.f64 c a) -2) b)) (/.f64 1/2 a))) 3)
	41.3b	(/.f64 (neg.f64 b) a)
✓	31.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 1/2 a))) 2) (cbrt.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 7343 to 5235 computations (28.7% saved)

regimes2.3s (30.3%)

Accuracy

Total 8.3b remaining (73.2%)

Threshold costs 0b (0%)

Counts

169 → 5

Compiler

Compiled 3438 to 2216 computations (35.5% saved)

bsearch135.0ms (1.8%)

Algorithm

4×	binary-search

Calls

4 calls:

41.0ms	b
39.0ms	b
31.0ms	b
23.0ms	b

Steps

Iters	Point		Range
1.22e-82	∈ [	6.928800753866611e-84	,	3.228369550428805e-82	]
-1.52e-279	∈ [	-1.5435067494416588e-279	,	-3.153399039975243e-286	]
-1.3e-163	∈ [	-4.803430697751824e-163	,	-1.265620168553943e-163	]
-8.5e+153	∈ [	-2.0304335540083667e+157	,	-5.6154104391147986e+153	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	114
1	64	114
2	73	114
3	80	114
4	84	114
5	85	114

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -8499999999999999346486428566183032899077949794854649052566982422370160263725383508367015806694281546504008280472089292730117690585601328424127575569203200) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 2 a)) (if (<=.f64 b -3883106906230751/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -1 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 1/2 a))) 3) (if (<=.f64 b 8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 (*.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1/2) a) (/.f64 (neg.f64 c) b)))))

Outputs

(if (<=.f64 b -8499999999999999346486428566183032899077949794854649052566982422370160263725383508367015806694281546504008280472089292730117690585601328424127575569203200) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 2 a)) (if (<=.f64 b -3883106906230751/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -1 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 1/2 a))) 3) (if (<=.f64 b 8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 (*.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1/2) a) (/.f64 (neg.f64 c) b)))))

(if (<=.f64 b -8499999999999999346486428566183032899077949794854649052566982422370160263725383508367015806694281546504008280472089292730117690585601328424127575569203200) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (if (<=.f64 b -3883106906230751/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -1 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 1/2 a))) 3) (if (<=.f64 b 8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 (*.f64 1/2 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a) (/.f64 (neg.f64 c) b)))))

end206.0ms (2.7%)

Stop Event

1×

fuel

Compiler

Compiled 399 to 273 computations (31.6% saved)

Details

analyze639.0ms (8.5%)

sample2.2s (28.9%)

preprocess43.0ms (0.6%)

simplify32.0ms (0.4%)

prune3.0ms (0%)

localize11.0ms (0.2%)

series36.0ms (0.5%)

rewrite75.0ms (1%)

simplify78.0ms (1%)

prune190.0ms (2.5%)

localize11.0ms (0.1%)

series16.0ms (0.2%)

rewrite64.0ms (0.9%)

simplify46.0ms (0.6%)

prune153.0ms (2%)

localize11.0ms (0.2%)

series637.0ms (8.5%)

rewrite75.0ms (1%)

simplify33.0ms (0.4%)

prune172.0ms (2.3%)

localize16.0ms (0.2%)

series96.0ms (1.3%)

rewrite63.0ms (0.8%)

simplify32.0ms (0.4%)

prune188.0ms (2.5%)

regimes2.3s (30.3%)

bsearch135.0ms (1.8%)

simplify5.0ms (0.1%)

end206.0ms (2.7%)

Profiling