Details

analyze395.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample3.0s (14.3%)

Results

2.6s	8256×	body	256	valid
443.0ms	1556×	body	256	invalid

preprocess84.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

666×	`associate-/l*_binary64`
623×	`fma-neg_binary64`
569×	`div-sub_binary64`
537×	`associate-/r*_binary64`
307×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1726	200
5	3276	200
6	7774	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

Compiler: Compiled 75 to 46 computations (38.7% saved)

prune2.0ms (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

20.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
▶	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

20.1b

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

▶

20.3b

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

Compiler

Compiled 78 to 49 computations (37.2% saved)

localize73.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	1.2b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	1.4b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	23.9b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Compiler

Compiled 150 to 76 computations (49.3% saved)

series42.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	0	(fma.f64 b b (.f64 (.f64 a c) -4))
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
2.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
2.0ms	c	@	inf	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
2.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

rewrite203.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
393×	`pow-prod-down_binary64`
372×	`fma-def_binary64`
307×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	236	53
2	3119	53

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
634×	`associate-r_binary64`
604×	`fma-def_binary64`
595×	`associate-l_binary64`
441×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2382
1	396	2282
2	1385	2147
3	7789	2147

Stop Event

1×	node limit

Counts

322 → 287

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (.f64 -2 (*.f64 c a)) b))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) b) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (/.f64 c (/.f64 b a)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) (.f64 (/.f64 4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (.f64 -2 (*.f64 c a)) b))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) b) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
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(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) b))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b)))
(fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (.f64 c a) b) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))))))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 2 b) (.f64 c a))
(+.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 (+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (/.f64 c (/.f64 b a))))
(+.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)))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.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 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) (.f64 (/.f64 4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 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))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (.f64 (/.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 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))) (.f64 (/.f64 4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b)))
(fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (.f64 c a) b) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b)))
(fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (.f64 c a) b) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (/.f64 c (/.f64 b a))))))

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.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))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series67.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
44.0ms	c	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	c	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite212.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
686×	`associate-r_binary64`
650×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

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

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

eval1.9s (9%)

Compiler: Compiled 54795 to 33102 computations (39.6% saved)

prune306.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1095	20	1115
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1097	20	1117

Error

6.1b

Counts

1117 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	23.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
▶	20.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	31.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
	20.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	22.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	20.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
▶	20.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
▶	17.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
▶	17.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	24.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -4))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/6)) 3))))))
	25.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))))
	37.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
	31.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	18.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))))

Compiler

Compiled 1618 to 1070 computations (33.9% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
✓	4.4b	(/.f64 c (/.f64 b a))
	23.9b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Compiler

Compiled 162 to 72 computations (55.6% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
622×	`prod-diff_binary64`
313×	`pow2_binary64`
220×	`fma-def_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	228	24
2	3416	24

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`fma-def_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	693
1	23	693
2	36	693
3	46	693
4	51	693
5	53	693

Stop Event

1×

saturated

Counts

158 → 93

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 -2 (/.f64 c b))
(/.f64 -2 (/.f64 b c))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 2 (/.f64 b a))
(/.f64 (*.f64 2 b) a)
(/.f64 2 (/.f64 a b))
(/.f64 b (/.f64 a 2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 2 (/.f64 b a))
(/.f64 (*.f64 2 b) a)
(/.f64 2 (/.f64 a b))
(/.f64 b (/.f64 a 2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 2 (/.f64 b a))
(/.f64 (*.f64 2 b) a)
(/.f64 2 (/.f64 a b))
(/.f64 b (/.f64 a 2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 -2 (/.f64 c b))
(/.f64 -2 (/.f64 b c))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 -2 (/.f64 c b))
(/.f64 -2 (/.f64 b c))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 2 (/.f64 b a))
(/.f64 (*.f64 2 b) a)
(/.f64 2 (/.f64 a b))
(/.f64 b (/.f64 a 2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 -2 (/.f64 c b))
(/.f64 -2 (/.f64 b c))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(*.f64 -2 (/.f64 c b))
(/.f64 -2 (/.f64 b c))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (/.f64 b a)))
(fma.f64 -2 (/.f64 c b) (/.f64 (*.f64 2 b) a))
(fma.f64 -2 (/.f64 c b) (/.f64 2 (/.f64 a b)))
(fma.f64 -2 (/.f64 c b) (/.f64 b (/.f64 a 2)))
(fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 4 a) c)
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (.f64 4 a) c)
0.0ms	c	@	inf	(.f64 (.f64 4 a) c)
0.0ms	a	@	inf	(.f64 (.f64 4 a) c)
0.0ms	c	@	0	(.f64 (.f64 4 a) c)
0.0ms	a	@	-inf	(.f64 (.f64 4 a) c)

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1399	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 4 a) c)

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))

Outputs
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))

localize143.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	3.8b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
✓	5.6b	(*.f64 a (/.f64 c b))
	23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 159 to 75 computations (52.8% saved)

series26.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log-prod_binary64`
268×	`fma-def_binary64`
255×	`pow1/3_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	292	27
2	4391	27

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

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

simplify253.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
461×	`fma-neg_binary64`
334×	`div-sub_binary64`
257×	`associate-/l*_binary64`
175×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	620
1	18	566
2	31	566
3	43	566
4	57	566
5	87	566
6	151	566
7	217	566
8	383	566
9	792	566
10	1754	566
11	3029	566
12	3789	566
13	4007	566
14	4222	566
15	4288	566
16	4328	566
17	4360	566
18	4360	566

Stop Event

1×

saturated

Counts

172 → 106

Calls

Call 1

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

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

localize271.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	7.0b	(-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2))
	23.9b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
✓	24.7b	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 193 to 101 computations (47.7% saved)

series46.0ms (0.2%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Expression
6.0ms	c	@	(-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2))
6.0ms	c	@	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
5.0ms	b	@	(-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2))
5.0ms	a	@	(-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2))
4.0ms	b	@	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

rewrite151.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`prod-diff_binary64`
524×	`log-prod_binary64`
311×	`pow2_binary64`
295×	`fma-def_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	255	29
2	3174	28

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

507×	`distribute-lft-in_binary64`
507×	`distribute-rgt-in_binary64`
350×	`associate-r_binary64`
289×	`associate-/r*_binary64`
274×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	1840
1	775	1697
2	3115	1524

Stop Event

1×	node limit

Counts

152 → 164

Calls

Call 1

Inputs
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))))) (pow.f64 (pow.f64 b 2) 1/3))))
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))))))))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b)))
b
b
(-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) b) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b))) (+.f64 b (.f64 -1 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 -3/2 (.f64 (.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3)))) (pow.f64 b 2))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))) (.f64 -128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))))))) (.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))))) b)))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) b) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (.f64 b (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (.f64 -3/2 (.f64 (.f64 c (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b))) b))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))

Outputs
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (*.f64 b b)))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (fma.f64 -4/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (cbrt.f64 (*.f64 b b)))))
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(-.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 -4)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(+.f64 b (.f64 (sqrt.f64 -4) (-.f64 (.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 b b)) (sqrt.f64 (.f64 c a)))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))))))))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (/.f64 1/128 (.f64 (.f64 c c) (.f64 a a))) (.f64 1/16 (-.f64 (.f64 -4/3 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -4) 6))))) (/.f64 8/3 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -4) 6)))))))))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (.f64 b b) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c a))))) (+.f64 b (.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (+.f64 (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (fma.f64 1/16 (.f64 (/.f64 1 (.f64 (.f64 a a) (.f64 (.f64 c c) 16))) -4) (/.f64 1/128 (.f64 c (.f64 c (.f64 a a))))))) (sqrt.f64 -4)))))
(fma.f64 1/8 (.f64 (.f64 b b) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c a))))) (-.f64 b (.f64 (sqrt.f64 (.f64 c a)) (.f64 (+.f64 (.f64 (pow.f64 b 4) (fma.f64 1/16 (/.f64 (.f64 (/.f64 1/16 (.f64 a a)) -4) (.f64 c c)) (/.f64 (/.f64 1/128 (.f64 a a)) (*.f64 c c)))) 1) (sqrt.f64 -4)))))
b
b
(-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) b) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) b) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 c a))) b) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 -1 (.f64 (.f64 c c) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))))))) b)) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (-.f64 b (.f64 (.f64 c c) (.f64 b (fma.f64 2 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) (.f64 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -4)))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(+.f64 (.f64 c (-.f64 (.f64 (.f64 a (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) 2) (.f64 c (.f64 b (.f64 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2))))) (-.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b))) (+.f64 b (.f64 -1 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 -3/2 (.f64 (.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3)))) (pow.f64 b 2))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))) (.f64 -128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))))))) (.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))))) b)))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (+.f64 (fma.f64 -1 (.f64 (.f64 c c) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))))))) b) (neg.f64 (.f64 (pow.f64 c 3) (.f64 b (fma.f64 -3/2 (.f64 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 1/4 (fma.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (.f64 b b)) (fma.f64 -128/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 -128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))) (.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))))))))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (-.f64 (-.f64 b (.f64 (.f64 c c) (.f64 b (fma.f64 2 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) (.f64 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -4))))) (.f64 (pow.f64 c 3) (.f64 b (fma.f64 -3/2 (.f64 a (.f64 (.f64 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 1/4 (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (.f64 b b)) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(+.f64 (-.f64 b (.f64 (fma.f64 -3/2 (.f64 a (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 a a) -16/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 1/4 (fma.f64 -2 (/.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (/.f64 (.f64 b b) 320/27)) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) (.f64 b (pow.f64 c 3)))) (-.f64 (.f64 c (-.f64 (.f64 (.f64 a (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) 2) (.f64 c (.f64 b (.f64 (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)))
(-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) b) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) b) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 c a))) b) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 (.f64 2 (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) b)) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (-.f64 b (.f64 b (.f64 (.f64 a a) (fma.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) -4)))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(fma.f64 2 (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 c a))) (-.f64 b (+.f64 (.f64 b (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) -2))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))))
(-.f64 (+.f64 (.f64 2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (.f64 b (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (.f64 -3/2 (.f64 (.f64 c (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b))) b))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/4 (fma.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 b 10))))) (fma.f64 -128/27 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 -2 (/.f64 (fma.f64 128/9 (.f64 (.f64 (pow.f64 c 3) 1) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (.f64 b b))))) (.f64 -3/2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)) (.f64 c (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3)))))))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 (.f64 2 (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) b))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))
(-.f64 (fma.f64 2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (-.f64 (-.f64 b (.f64 b (.f64 (.f64 a a) (fma.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) -4))))) (.f64 b (.f64 (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -3/2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) (.f64 -16/3 c))) (.f64 1/4 (fma.f64 -128/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -2 (/.f64 (fma.f64 128/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) -64/27))) (.f64 b b)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 10))) (.f64 (pow.f64 c 3) -128/27))))))) (pow.f64 a 3))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))
(fma.f64 2 (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 (pow.f64 (/.f64 1 b) 1/18) (.f64 c a))) (-.f64 (-.f64 b (.f64 b (+.f64 (.f64 (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/4 (+.f64 (.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (.f64 b b))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27)) (.f64 c (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) (.f64 -16/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) -3/2)))) (pow.f64 a 3)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (.f64 c c))) -2))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))

localize274.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	13.7b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
	23.9b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
✓	24.6b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 200 to 108 computations (46% saved)

series129.0ms (0.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
41.0ms	a	@	-inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
31.0ms	c	@	0	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
11.0ms	c	@	-inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
7.0ms	a	@	inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
4.0ms	a	@	-inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`prod-diff_binary64`
544×	`log-prod_binary64`
327×	`pow2_binary64`
284×	`fma-def_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	282	30
2	3338	29

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify248.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

519×	`fma-def_binary64`
446×	`associate-r_binary64`
345×	`*-commutative_binary64`
332×	`associate-l_binary64`
314×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	4954
1	1581	4369
2	7221	4089

Stop Event

1×	node limit

Counts

149 → 200

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
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(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
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(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
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(sqrt.f64 b)
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
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b
(*.f64 2 b)
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b
(+.f64 b (*.f64 -1 b))
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(*.f64 2 b)
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) b))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 b (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))))
(+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 1 (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1)) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 1 (sqrt.f64 b)) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 1 (sqrt.f64 b)))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(fma.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2))) (.f64 (.f64 c a) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
(.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) c) (/.f64 (.f64 b b) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))))
(fma.f64 -1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) a)) (.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) c) (/.f64 (.f64 b b) a)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 (.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) a)) (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 (.f64 c c) (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
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(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
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(sqrt.f64 b)
(*.f64 1 (sqrt.f64 b))
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(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
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(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
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b
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
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b
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
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(fma.f64 2 (*.f64 (/.f64 c b) a) 0)
(.f64 2 (.f64 (/.f64 c b) a))
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(*.f64 2 b)
(*.f64 b 2)
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(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
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(+.f64 (fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) c)) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) -7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))) (+.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)))) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) c)) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) (.f64 c c)) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1/256))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) a) (/.f64 (pow.f64 (.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) a)) b))))
(+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))
(+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))
(+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (*.f64 c 4) 1/4)) 2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (+.f64 b (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (+.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) b)))
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (+.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) (.f64 a a))) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 a a)) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) b)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) c) (.f64 2 (.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (+.f64 b (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (+.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) b))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (/.f64 1/8 (/.f64 c (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 b (.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))))))) (pow.f64 a 3)))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (+.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) (.f64 a a))) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 a a)) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) b))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (/.f64 1/8 (/.f64 c (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 b (.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (*.f64 c 4) 1/4)) 2))))))) (pow.f64 a 3)))

eval2.2s (10.4%)

Compiler: Compiled 73618 to 44745 computations (39.2% saved)

prune549.0ms (2.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	1506	23	1529
Fresh	12	3	15
Picked	1	0	1
Done	4	0	4
Total	1523	26	1549

Error

2.8b

Counts

1549 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))))
	43.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
▶	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
▶	21.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
	28.9b	(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))))))
▶	31.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2)))))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
	26.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 2/3) 3/2)))))
	31.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	29.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))))
	31.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
▶	18.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	29.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))))
	21.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	35.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	29.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -4))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	19.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))))
	29.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	32.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
	24.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	19.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/6)) 3))))))
	29.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a))))))

Compiler

Compiled 1922 to 1294 computations (32.7% saved)

localize74.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	3.8b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (*.f64 2 a))
✓	5.8b	(/.f64 a (/.f64 b c))
	23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 159 to 75 computations (52.8% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 a (/.f64 b c))
0.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (*.f64 2 a))
0.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (*.f64 2 a))
0.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (*.f64 2 a))
0.0ms	a	@	inf	(/.f64 a (/.f64 b c))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
262×	`fma-def_binary64`
254×	`log-div_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	298	27
2	4647	27

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
461×	`fma-neg_binary64`
334×	`div-sub_binary64`
257×	`associate-/l*_binary64`
175×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	620
1	18	566
2	31	566
3	43	566
4	57	566
5	87	566
6	151	566
7	217	566
8	383	566
9	792	566
10	1754	566
11	3029	566
12	3789	566
13	4007	566
14	4222	566
15	4288	566
16	4328	566
17	4360	566
18	4360	566

Stop Event

1×

saturated

Counts

188 → 123

Calls

Call 1

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

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

localize20.0ms (0.1%)

Compiler: Compiled 61 to 35 computations (42.6% saved)

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a))))))
	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
✓	3.9b	(/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))
	4.4b	(/.f64 c (/.f64 b a))

Compiler

Compiled 140 to 60 computations (57.1% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`log-prod_binary64`
340×	`pow2_binary64`
274×	`pow-unpow_binary64`
239×	`pow1/3_binary64`
236×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	261	37
2	3531	37

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

571×	`times-frac_binary64`
517×	`unswap-sqr_binary64`
363×	`associate-/l*_binary64`
353×	`fma-def_binary64`
329×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	2261
1	229	2219
2	873	2130
3	5049	2082
4	7728	2082

Stop Event

1×	node limit

Counts

138 → 96

Calls

Call 1

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

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

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
	1.2b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	14.9b	(cbrt.f64 (*.f64 c a))
	23.9b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Compiler

Compiled 176 to 93 computations (47.2% saved)

series9.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(cbrt.f64 (*.f64 c a))
1.0ms	a	@	-inf	(cbrt.f64 (*.f64 c a))
1.0ms	a	@	0	(cbrt.f64 (*.f64 c a))
1.0ms	c	@	0	(cbrt.f64 (*.f64 c a))
0.0ms	c	@	inf	(cbrt.f64 (*.f64 c a))

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
413×	`*-un-lft-identity_binary64`
406×	`add-log-exp_binary64`
406×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1125	6

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 c a))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

23 → 23

Calls

Call 1

Inputs

Outputs

localize75.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
	4.4b	(/.f64 c (/.f64 b a))
✓	8.0b	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
	24.6b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 187 to 94 computations (49.7% saved)

series15.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
2.0ms	c	@	0	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
2.0ms	a	@	0	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
1.0ms	c	@	-inf	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
1.0ms	a	@	-inf	(-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`prod-diff_binary64`
552×	`log-prod_binary64`
330×	`pow2_binary64`
301×	`fma-def_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	283	16
2	3348	15

Stop Event

1×	node limit

Counts

1 → 132

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
379×	`distribute-rgt-out_binary64`
372×	`associate-r_binary64`
309×	`*-commutative_binary64`
249×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3126
1	1303	2728
2	5958	2547

Stop Event

1×	node limit

Counts

168 → 196

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
b
(+.f64 b (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 b (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b))) (.f64 -4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))))
b
(*.f64 2 b)
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b))) (.f64 -2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))) (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) a) b)) (+.f64 (.f64 2 (.f64 b (+.f64 (.f64 2 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 16/3 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 -16 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 b 8))))))))) (.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) 2) b))))) (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b))))))))
(-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(-.f64 (+.f64 b (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c a)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(-.f64 (+.f64 b (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))) (pow.f64 c 2))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) a)) (.f64 2 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))) (pow.f64 c 3))) (+.f64 b (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))) (pow.f64 c 2)))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))
(-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(-.f64 (+.f64 b (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (+.f64 b (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (+.f64 b (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) 2) b) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 -16 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (.f64 16/3 (/.f64 (pow.f64 c 4) (pow.f64 b 8))))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) b)))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))))))))
(-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2))) b)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) c))) (pow.f64 a 3))) b))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2))
(-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) b)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 b (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b))
(+.f64 b (.f64 (sqrt.f64 -4) (-.f64 (.f64 (.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (.f64 b b)) (sqrt.f64 (*.f64 c a)))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 -1 (.f64 (pow.f64 b 4) (.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/128)) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -4) (.f64 b b))) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b) (.f64 (pow.f64 b 4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (sqrt.f64 -4) -1/128)))))
(+.f64 (+.f64 b (.f64 (sqrt.f64 -4) (-.f64 (.f64 (.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (.f64 b b)) (sqrt.f64 (.f64 c a))))) (.f64 (pow.f64 b 4) (.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) 1/128)))
b
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 b (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 0 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) 0)
(/.f64 (*.f64 c 2) (/.f64 b a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b))) (.f64 -4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -1 (/.f64 (.f64 (.f64 -2 (.f64 c c)) (.f64 b (.f64 a a))) (pow.f64 b 4)) (.f64 0 b)))
(fma.f64 2 (.f64 (/.f64 c b) a) (/.f64 2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 (*.f64 b a) a))))))
b
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 (/.f64 c (/.f64 b a)) -2))
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b))) (.f64 -2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -1 (/.f64 (.f64 2 (.f64 (.f64 c c) (.f64 b (.f64 a a)))) (pow.f64 b 4)) (fma.f64 2 b (.f64 (/.f64 c (/.f64 b a)) -2)))
(+.f64 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 (.f64 b a) a) -2)) (pow.f64 b 4)) (fma.f64 b 2 (/.f64 (.f64 c -2) (/.f64 b a))))
(.f64 2 (/.f64 (.f64 c a) b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 0 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) 0)
(/.f64 (*.f64 c 2) (/.f64 b a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) (/.f64 (.f64 a a) (pow.f64 b 3))))))
(-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) (.f64 c (.f64 c (fma.f64 (.f64 2 (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4))) b (/.f64 a (/.f64 (pow.f64 b 3) a))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))) (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 -1 (+.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) (/.f64 (.f64 a a) (pow.f64 b 3)))) (.f64 (pow.f64 c 3) (fma.f64 -2 (/.f64 a (/.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2))) (.f64 2 (.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3)))))))))
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(-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))
(-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))
(-.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))
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(-.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) a)) b) (pow.f64 (.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) b)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
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(-.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a)) (-.f64 b (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (.f64 a a)))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))
(-.f64 (-.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) a)) b) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (.f64 a a))) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 b (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) c) (/.f64 (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (+.f64 b (.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144))))))))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a)) (fma.f64 1/8 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) c) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192))) b) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (.f64 a a))))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))
(+.f64 (.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) a) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (pow.f64 a 3))))) (-.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) (/.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192))) b) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (.f64 a a))) (pow.f64 (.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))

eval1.4s (6.4%)

Compiler: Compiled 52056 to 30905 computations (40.6% saved)

prune229.0ms (1.1%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1053	14	1067
Fresh	8	13	21
Picked	1	0	1
Done	1	3	4
Total	1063	30	1093

Error

0.1b

Counts

1093 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	21.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))))
▶	43.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
✓	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
✓	31.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2)))))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
	24.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))))
	35.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	31.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	36.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)))))
	23.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c -2) (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2))))))
	35.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)))))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	31.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
✓	18.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (.f64 (/.f64 -1/2 a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 c a))))))
	21.2b	(if (>=.f64 b 0) (.f64 -1/2 (fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (pow.f64 (sqrt.f64 (/.f64 c (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2)))) 2)))
▶	43.2b	(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (/.f64 b a))
	29.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2)))))
▶	35.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)))))
	29.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a))))))
	29.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
▶	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -4))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	29.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))))
	32.4b	(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))))
	29.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	32.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
	21.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))

Compiler

Compiled 2086 to 1417 computations (32.1% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	11.8b	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4)))))
✓	23.9b	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))
	23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 211 to 108 computations (48.8% saved)

series16.0ms (0.1%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))
1.0ms	b	@	inf	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))
1.0ms	c	@	0	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (*.f64 a -4))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
441×	`fma-def_binary64`
351×	`pow2_binary64`
270×	`pow-unpow_binary64`
246×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	318	33
2	4044	27

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs

(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) b) (*.f64 c (*.f64 a -4))))

(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) b) (*.f64 c (*.f64 a -4)))))

Outputs

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

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg_binary64`
610×	`cancel-sign-sub-inv_binary64`
547×	`associate-/l/_binary64`
326×	`distribute-rgt-neg-in_binary64`
278×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	620
1	177	497
2	642	471
3	2922	459
4	5420	455

Stop Event

1×	node limit

Counts

170 → 167

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -2))
✓	4.5b	(/.f64 (.f64 c (.f64 a -2)) b)
✓	11.8b	(/.f64 (.f64 2 c) (/.f64 (.f64 c (*.f64 a -2)) b))

Compiler

Compiled 81 to 46 computations (43.2% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
309×	`pow2_binary64`
264×	`pow-unpow_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	238	30
2	3433	30

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

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

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
15×	`sub-neg_binary64`
14×	`associate-/r/_binary64`
14×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	744
1	23	744
2	47	744
3	79	744
4	111	744
5	126	744
6	134	744
7	148	744
8	171	744
9	197	744
10	200	744

Stop Event

1×

saturated

Counts

228 → 138

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 (.f64 -2 c) a) b)
(/.f64 -2 (/.f64 b (*.f64 a c)))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))
(.f64 -2 (.f64 c a))
(.f64 (.f64 -2 c) a)
(.f64 a (.f64 -2 c))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
	4.4b	(/.f64 c (/.f64 b a))

Compiler

Compiled 85 to 34 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
0.0ms	a	@	inf	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
0.0ms	c	@	inf	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
0.0ms	b	@	-inf	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
0.0ms	b	@	inf	(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`prod-diff_binary64`
546×	`log-prod_binary64`
320×	`pow-prod-down_binary64`
280×	`pow2_binary64`
206×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	204	14
2	2998	14

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`fma-def_binary64`
17×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	444
1	21	444
2	38	444
3	65	444
4	99	444
5	119	444
6	121	444

Stop Event

1×

saturated

Counts

93 → 64

Calls

Call 1

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

Outputs
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 -2 c) a) b)
(.f64 (.f64 -2 (/.f64 c b)) a)
(.f64 (/.f64 c b) (.f64 -2 a))
(.f64 c (/.f64 (.f64 -2 a) b))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 -2 c) a) b)
(.f64 (.f64 -2 (/.f64 c b)) a)
(.f64 (/.f64 c b) (.f64 -2 a))
(.f64 c (/.f64 (.f64 -2 a) b))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 -2 c) a) b)
(.f64 (.f64 -2 (/.f64 c b)) a)
(.f64 (/.f64 c b) (.f64 -2 a))
(.f64 c (/.f64 (.f64 -2 a) b))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 -2 c) a) b)
(.f64 (.f64 -2 (/.f64 c b)) a)
(.f64 (/.f64 c b) (.f64 -2 a))
(.f64 c (/.f64 (.f64 -2 a) b))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 -2 c) a) b)
(.f64 (.f64 -2 (/.f64 c b)) a)
(.f64 (/.f64 c b) (.f64 -2 a))
(.f64 c (/.f64 (.f64 -2 a) b))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 -2 (.f64 a (/.f64 c b)) (.f64 b 2))
(fma.f64 (/.f64 c b) (.f64 -2 a) (.f64 b 2))
(fma.f64 c (/.f64 (.f64 -2 a) b) (.f64 b 2))

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)
	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
	4.4b	(/.f64 c (/.f64 b a))
✓	14.3b	(pow.f64 (.f64 a (.f64 c -4)) 1/4)

Compiler

Compiled 163 to 93 computations (42.9% saved)

series117.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	a	@	-inf	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
31.0ms	a	@	0	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
20.0ms	c	@	0	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
15.0ms	c	@	-inf	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
7.0ms	a	@	inf	(pow.f64 (.f64 a (.f64 c -4)) 1/4)

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
822×	`add-log-exp_binary64`
822×	`log1p-expm1-u_binary64`
822×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	217	19
2	2395	19

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)

Outputs

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
373×	`exp-sum_binary64`
362×	`fma-def_binary64`
351×	`distribute-rgt-in_binary64`
295×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	840
1	160	840
2	402	696
3	1116	456
4	4133	456

Stop Event

1×	node limit

Counts

96 → 61

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)

Outputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(pow.f64 (.f64 a (.f64 c -4)) 1/4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 a (.f64 c -4)))

localize75.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))
✓	0.2b	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
	3.8b	(/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)
	4.4b	(/.f64 c (/.f64 b a))

Compiler

Compiled 178 to 108 computations (39.3% saved)

series59.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
10.0ms	c	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
9.0ms	a	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
9.0ms	a	@	0	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
9.0ms	c	@	0	(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
903×	`add-log-exp_binary64`
903×	`log1p-expm1-u_binary64`
903×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	241	19
2	2672	19

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)
(.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))

Outputs

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

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
373×	`exp-sum_binary64`
362×	`fma-def_binary64`
357×	`distribute-rgt-in_binary64`
295×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	840
1	160	840
2	404	696
3	1118	456
4	4121	456

Stop Event

1×	node limit

Counts

88 → 52

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))

Outputs
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4)) 2)
(sqrt.f64 (.f64 (.f64 c -4) a))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 c 1/4) (pow.f64 (.f64 -4 a) 1/4))
(pow.f64 (.f64 (.f64 c -4) a) 1/4)

eval545.0ms (2.6%)

Compiler: Compiled 35166 to 20760 computations (41% saved)

prune185.0ms (0.9%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	898	11	909
Fresh	4	18	22
Picked	0	1	1
Done	2	5	7
Total	904	35	939

Error

0.1b

Counts

939 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	35.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))))
	43.1b	(if (>=.f64 b 0) (*.f64 -1/2 (fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))) (/.f64 b a))
	31.1b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
✓	31.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2)))))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
	24.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	43.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
	21.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))))
	31.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) 3))))))
	35.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	36.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)))))
	23.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c -2) (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2))))))
	35.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)))))
	54.3b	(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (/.f64 b a))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
	31.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	44.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))) a)) (/.f64 b a))
✓	18.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	62.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 c (/.f64 (*.f64 -2 a) b)) a)) (/.f64 b a))
	43.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (.f64 (/.f64 -1/2 a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 c a))))))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (pow.f64 (sqrt.f64 (/.f64 c (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2)))) 2)))
	29.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2)))))
✓	35.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)))))
	29.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a))))))
	61.9b	(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))
	29.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
✓	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -4))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	29.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))))
	44.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (fma.f64 (.f64 -2 c) (/.f64 a b) b)))) a)) (/.f64 b a))
	43.1b	(if (>=.f64 b 0) (.f64 -1/2 (+.f64 (.f64 -2 (/.f64 c b)) (*.f64 2 (/.f64 b a)))) (/.f64 b a))
	29.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
	32.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
✓	21.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
	21.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))

Compiler

Compiled 1184 to 805 computations (32% saved)

regimes695.0ms (3.3%)

Counts

70 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 c (/.f64 (*.f64 -2 a) b)) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (.f64 -1/2 (+.f64 (.f64 -2 (/.f64 c b)) (*.f64 2 (/.f64 b a)))) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))) a)) (/.f64 b a))
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(if (>=.f64 b 0) (*.f64 -1/2 (fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))) (/.f64 b a))
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(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (/.f64 b a))
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
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(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (/.f64 b a))
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(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c -2) (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2))))))
(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))))
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(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/6)) 3))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/6)) 3))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -4))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))

Calls

4 calls:

241.0ms	a
156.0ms	c
120.0ms	b
119.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Results

Error	Segments	Branch
12.9b	7	`a`
5.8b	4	`b`
13.5b	5	`c`
7.2b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 2374 to 1379 computations (41.9% saved)

bsearch208.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
122.0ms	2.671754911504709e+39	8.817889333511083e+43
50.0ms	-2.6087298361546478e-180	-2.043629476729379e-188
35.0ms	-7.804026923526817e+154	-2.2588705653957474e+153

Compiler

Compiled 1196 to 854 computations (28.6% saved)

regimes952.0ms (4.5%)

Counts

64 → 3

Calls

Call 1

Inputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 c (/.f64 (*.f64 -2 a) b)) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (.f64 -1/2 (+.f64 (.f64 -2 (/.f64 c b)) (*.f64 2 (/.f64 b a)))) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (*.f64 -1/2 (fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (.f64 (/.f64 c b) a) b)) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))))
(if (>=.f64 b 0) (.f64 -1/2 (fma.f64 c (/.f64 -2 b) (/.f64 b (/.f64 a 2)))) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (.f64 (/.f64 -1/2 a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 c a))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) 3))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (fma.f64 (.f64 -2 c) (/.f64 a b) b)))) a)) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c -2) (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2))))))
(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (.f64 -2 (/.f64 c (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))))
(if (>=.f64 b 0) (.f64 -1/2 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 -2 c) (/.f64 a b) (+.f64 b b)) a)))) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (pow.f64 (sqrt.f64 (/.f64 c (fma.f64 c (.f64 (/.f64 a b) -2) (.f64 b 2)))) 2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))

Outputs

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

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

(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (*.f64 b 2) a)) (/.f64 b a))

Calls

4 calls:

387.0ms	b
251.0ms	a
163.0ms	c
99.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Results

Error	Segments	Branch
14.2b	4	`a`
7.0b	3	`b`
13.7b	5	`c`
7.2b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 2147 to 1239 computations (42.3% saved)

bsearch161.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	2.671754911504709e+39	8.817889333511083e+43
35.0ms	-7.804026923526817e+154	-2.2588705653957474e+153

Compiler

Compiled 495 to 327 computations (33.9% saved)

regimes162.0ms (0.8%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
42.0ms	b
39.0ms	a
15.0ms	c

Results

Error	Segments	Branch
15.4b	3	`a`
7.2b	3	`b`
17.8b	1	`c`
7.2b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 958 to 545 computations (43.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.065836179024577e+264	2.2533285021998723e+278
0.0ms	0.0	6.67e-322
0.0ms	-2.158088735069634e-265	-2.7818338161957725e-286
0.0ms	-inf	-1.7511403277912803e+275

Compiler

Compiled 47 to 31 computations (34% saved)

regimes139.0ms (0.7%)

Counts

25 → 4

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	a
45.0ms	b
12.0ms	c

Results

Error	Segments	Branch
14.5b	5	`a`
7.2b	4	`b`
17.9b	1	`c`

Compiler

Compiled 684 to 384 computations (43.9% saved)

bsearch170.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
125.0ms	2.671754911504709e+39	8.817889333511083e+43
9.0ms	-3.6404188630038894e-71	-3.939234643420373e-72
36.0ms	-7.804026923526817e+154	-2.2588705653957474e+153

Compiler

Compiled 573 to 395 computations (31.1% saved)

regimes115.0ms (0.5%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	a
36.0ms	b
11.0ms	c

Results

Error	Segments	Branch
14.7b	5	`a`
7.2b	4	`b`
18.0b	1	`c`

Compiler

Compiled 550 to 311 computations (43.5% saved)

bsearch197.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
140.0ms	2.671754911504709e+39	8.817889333511083e+43
20.0ms	-6.9657287933453e-310	1.9832491733790546e-308
37.0ms	-7.804026923526817e+154	-2.2588705653957474e+153

Compiler

Compiled 771 to 527 computations (31.6% saved)

regimes80.0ms (0.4%)

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

31.0ms	a
20.0ms	b
15.0ms	c

Results

Error	Segments	Branch
16.8b	3	`a`
13.0b	2	`b`
18.0b	1	`c`

Compiler

Compiled 519 to 293 computations (43.5% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	-7.804026923526817e+154	-2.2588705653957474e+153

Compiler

Compiled 47 to 31 computations (34% saved)

regimes74.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

34.0ms	a
17.0ms	b
9.0ms	c

Results

Error	Segments	Branch
19.0b	4	`a`
14.0b	2	`b`
21.2b	1	`c`

Compiler

Compiled 483 to 274 computations (43.3% saved)

bsearch59.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-3.677424444928766e-59	-2.22655248152959e-61

Compiler

Compiled 509 to 346 computations (32% saved)

regimes58.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

27.0ms	a
14.0ms	b
8.0ms	c

Results

Error	Segments	Branch
19.0b	4	`a`
14.0b	2	`b`
21.2b	1	`c`

Compiler

Compiled 384 to 217 computations (43.5% saved)

bsearch59.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-3.677424444928766e-59	-2.22655248152959e-61

Compiler

Compiled 474 to 318 computations (32.9% saved)

regimes45.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

21.0ms	a
12.0ms	b
6.0ms	c

Results

Error	Segments	Branch
19.0b	4	`a`
14.2b	2	`b`
21.2b	1	`c`

Compiler

Compiled 244 to 143 computations (41.4% saved)

bsearch59.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-3.677424444928766e-59	-2.22655248152959e-61

Compiler

Compiled 474 to 318 computations (32.9% saved)

regimes22.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b
6.0ms	a
6.0ms	c

Results

Error	Segments	Branch
21.2b	1	`a`
21.2b	1	`b`
21.2b	1	`c`

Compiler

Compiled 219 to 129 computations (41.1% saved)

regimes20.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 c (/.f64 (*.f64 -2 a) b)) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (.f64 -1/2 (+.f64 (.f64 -2 (/.f64 c b)) (*.f64 2 (/.f64 b a)))) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))

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

Calls

3 calls:

6.0ms	a
5.0ms	b
5.0ms	c

Results

Error	Segments	Branch
21.3b	1	`a`
21.3b	1	`b`
21.3b	1	`c`

Compiler

Compiled 172 to 103 computations (40.1% saved)

regimes17.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 c (/.f64 (*.f64 -2 a) b)) a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (.f64 -1/2 (+.f64 (.f64 -2 (/.f64 c b)) (*.f64 2 (/.f64 b a)))) (/.f64 b a))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b) (.f64 -2 (/.f64 (.f64 c a) b))) a)) (/.f64 b a))

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

Calls

3 calls:

5.0ms	b
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
21.5b	1	`a`
21.5b	1	`b`
21.5b	1	`c`

Compiler

Compiled 145 to 89 computations (38.6% saved)

regimes10.0ms (0%)

Accuracy

Total -18.9b remaining (-43.8%)

Threshold costs -18.9b (-43.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))
(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 c (/.f64 b -2))) (/.f64 b a))

Outputs
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))

Calls

3 calls:

3.0ms	a
3.0ms	c
3.0ms	b

Results

Error	Segments	Branch
43.1b	1	`a`
43.1b	1	`b`
43.1b	1	`c`

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
30×	`+-commutative_binary64`
22×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1617
1	190	1573
2	228	1573
3	263	1573
4	285	1573
5	296	1573
6	299	1573

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b -1646024792380867/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))))
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 5000000000000000332573312946019256101192831727830244227196824507708833423545780946025012109369036034436615157765192646677921147728861185914040735998988048698472286242720989368704403963720043307933764743571120134971352694704832620965723600077151551216697654940532736) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b 1922821406419451/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b)))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (*.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a)))))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a)))))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))

Outputs
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b -1646024792380867/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b)))) (if (<=.f64 b -1646024792380867/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b) b))) (if (<=.f64 b -1646024792380867/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) a)) (.f64 -2 (/.f64 c (-.f64 b (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 a)) (cbrt.f64 -4)) 3/2))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a)))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))))
(if (<=.f64 b -78040269235268170022228259112866481870224914817062555417657630090766539543449257194111248689642218250039779490140361272727867006089178395132240397072334848) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b)))) (if (<=.f64 b 2700000000000000033665194890705823072256) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))))
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(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b) b))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))))))
(if (<=.f64 b -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b) b))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 2 c) b)) b) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 a c) b)) (*.f64 b -2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 b 2) a)) (/.f64 b a))

Compiler

Compiled 1095 to 697 computations (36.3% saved)

soundness1.3s (6%)

Algorithm

9×	egg-herbie

Rules

1122×	`fma-def_binary64`
1122×	`fma-def_binary64`
1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
776×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50
0	444	4954
1	1581	4369
2	7221	4089
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50
0	233	1840
1	775	1697
2	3115	1524
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50
0	129	2382
1	396	2282
2	1385	2147
3	7789	2147
0	129	2382
1	396	2282
2	1385	2147
3	7789	2147
0	12	444
1	21	444
2	38	444
3	65	444
4	99	444
5	119	444
6	121	444

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 6771 to 4612 computations (31.9% saved)

end337.0ms (1.6%)

Compiler: Compiled 1059 to 620 computations (41.5% saved)

Iter	Nodes	Cost
0	12	744
1	23	744
2	47	744
3	79	744
4	111	744
5	126	744
6	134	744
7	148	744
8	171	744
9	197	744
10	200	744

Iter	Nodes	Cost
0	12	744
1	23	744
2	47	744
3	79	744
4	111	744
5	126	744
6	134	744
7	148	744
8	171	744
9	197	744
10	200	744

Iter	Nodes	Cost
0	12	744
1	23	744
2	47	744
3	79	744
4	111	744
5	126	744
6	134	744
7	148	744
8	171	744
9	197	744
10	200	744